P. van den Driessche

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All published works

Action	Title	Year	Authors
+	Estimating the Effect of Contact Tracing During the Early Stage of an Epidemic	2025	Manting Wang Junling Ma P. van den Driessche Laura Cowen
+	An inverse eigenvalue problem for structured matrices determined by graph pairs	2024	Adam H. Berliner Minerva Catral Michael Cavers S. H. Kim P. van den Driessche
+ PDF Chat	The allow sequence of distinct eigenvalues for a sign pattern	2024	Jane Breen Carraugh Brouwer Minerva Catral Michael Cavers P. van den Driessche Kevin N. Vander Meulen
+ PDF Chat	Refined inertias of positive and hollow positive patterns	2024	Adam H. Berliner Minerva Catral D.D. Olesky P. van den Driessche
+ PDF Chat	Honoring the life and legacy of Fred Brauer	2023	Christopher Kribs P. van den Driessche
+	A dynamic multistate and control model of the COVID-19 pandemic	2023	Steven D. Silver P. van den Driessche Subhas Khajanchi
+	A mathematical model to assess the impact of testing and isolation compliance on the transmission of COVID-19	2023	Shasha Gao Binod Pant C. W. Chukwu Theophilus Kwofie Salman Safdar Lora Newman Seoyun Choe Bimal Kumar Datta Wisdom Kwame Attipoe Wenjing Zhang
+	Inertias of matrices and sign patterns related to a system of second order ODEs	2022	Adam H. Berliner Minerva Catral D.D. Olesky P. van den Driessche
+	A contact tracing SIR model for randomly mixed populations	2022	Sam Bednarski Laura Cowen Junling Ma Tanya Philippsen P. van den Driessche Manting Wang
+	Minimum number of distinct eigenvalues allowed by a sign pattern	2022	Jane Breen Carraugh Brouwer Minerva Catral Michael Cavers P. van den Driessche Kevin N. Vander Meulen
+ PDF Chat	Reactivity, Attenuation, and Transients in Metapopulations	2022	Peter D. Harrington Mark A. Lewis P. van den Driessche
+	Effects of Asymptomatic Infections on the Spatial Spread of Infectious Diseases	2022	Daozhou Gao Justin Manango W. Munganga P. van den Driessche Lei Zhang
+	Stability of sign patterns from a system of second order ODEs	2021	Adam H. Berliner Minerva Catral D.D. Olesky P. van den Driessche
+	A framework for studying transients in marine metapopulations	2021	Peter D. Harrington Mark A. Lewis P. van den Driessche
+ PDF Chat	Impact of Varying Community Networks on Disease Invasion	2021	Stephen Kirkland Zhisheng Shuai P. van den Driessche Xueying Wang
+ PDF Chat	Effect of feedback regulation on stem cell fractions in tissues and tumors: Understanding chemoresistance in cancer	2020	Lora D. Weiss P. van den Driessche John Lowengrub Dominik Wodarz Natalia L. Komarova
+ PDF Chat	Age structured discrete-time disease models with demographic population cycles	2020	P. van den Driessche Abdul‐Aziz Yakubu
+	Inertias of Laplacian matrices of weighted signed graphs.	2019	Keivan Hassani Monfared Gary MacGillivray D.D. Olesky P. van den Driessche
+ PDF Chat	Effect of feedback regulation on stem cell fractions in tissues and tumors: understanding chemo-resistance in bladder cancer	2019	Lora D. Weiss P. van den Driessche John Lowengrub Dominik Wodarz Natalia L. Komarova
+	Habitat fragmentation promotes malaria persistence	2019	Daozhou Gao P. van den Driessche Chris Cosner
+ PDF Chat	Determinants of stem cell enrichment in healthy tissues and tumors: implications for non-genetic drug resistance	2019	Lora D. Weiss P. van den Driessche John Lowengrub Dominik Wodarz Natalia L. Komarova
+ PDF Chat	Inertias of Laplacian matrices of weighted signed graphs	2019	Keivan Hassani Monfared Gary MacGillivray D.D. Olesky P. van den Driessche
+	Inertias of Laplacian matrices of weighted signed graphs	2019	Keivan Hassani Monfared Gary MacGillivray D.D. Olesky P. van den Driessche
+ PDF Chat	Demographic population cycles and ℛ<sub>0</sub>in discrete-time epidemic models	2018	P. van den Driessche Abdul‐Aziz Yakubu
+	The sepr-sets of sign patterns	2018	Leslie Hogben Jephian C.-H. Lin D.D. Olesky P. van den Driessche
+ PDF Chat	Host contact structure is important for the recurrence of Influenza A	2018	Josue Jaramillo Junling Ma P. van den Driessche Sanling Yuan
+	Disease Extinction Versus Persistence in Discrete-Time Epidemic Models	2018	P. van den Driessche Abdul‐Aziz Yakubu
+ PDF Chat	Inertia sets allowed by matrix patterns	2018	Adam H. Berliner D.D. Olesky P. van den Driessche
+	Estimation of Cross-Immunity Between Drifted Strains of Influenza A/H3N2	2018	S M Asaduzzaman Junling Ma P. van den Driessche
+	Combinatorial Matrix Theory	2018	Richard A. Brualdi Ángeles Carmona Mejías P. van den Driessche Stephen Kirkland Dragan Stevanović
+	The sepr-sets of sign patterns	2018	Leslie Hogben Jephian C.-H. Lin D. D. Olesky P. van den Driessche
+	Bordering for spectrally arbitrary sign patterns	2017	D.D. Olesky P. van den Driessche Kevin N. Vander Meulen
+	Reproduction numbers of infectious disease models	2017	P. van den Driessche
+ PDF Chat	Stability of Control Networks in Autonomous Homeostatic Regulation of Stem Cell Lineages	2017	Natalia L. Komarova P. van den Driessche
+ PDF Chat	The Enhanced Principal Rank Characteristic Sequence for Hermitian Matrices	2017	Steve Butler Minerva Catral H. Tracy Hall Leslie Hogben Xavier Martínez-Rivera Bryan L. Shader P. van den Driessche
+ PDF Chat	Estimation of Zika virus prevalence by appearance of microcephaly	2016	Chadi M. Saad-Roy P. van den Driessche Junling Ma
+	Sets of refined inertias of zero–nonzero patterns	2016	Adam H. Berliner D.D. Olesky P. van den Driessche
+	Social contact processes and the partner model	2016	Eric Foxall Roderick Edwards P. van den Driessche
+	The coexistence or replacement of two subtypes of influenza	2015	S M Asaduzzaman Junling Ma P. van den Driessche
+	The enhanced principal rank characteristic sequence for skew-symmetric matrices	2015	Shaun Fallat D.D. Olesky P. van den Driessche
+	Characterization of a family of generalized companion matrices	2015	Colin Garnett Bryan L. Shader Chanyoung Lee Shader P. van den Driessche
+ PDF Chat	The enhanced principal rank characteristic sequence	2015	Steve Butler Minerva Catral Shaun Fallat H. Tracy Hall Leslie Hogben P. van den Driessche Michael E. Young
+	Model for disease dynamics of a waterborne pathogen on a random network	2014	Meili Li Junling Ma P. van den Driessche
+	Modelling and control of cholera on networks with a common water source	2014	Zhisheng Shuai P. van den Driessche
+	A note on sign patterns of order 3 that require particular refined inertias	2014	Colin Garnett D.D. Olesky P. van den Driessche
+	Integrally normalizable matrices and zero–nonzero patterns	2014	Colin Garnett D.D. Olesky Bryan L. Shader P. van den Driessche
+ PDF Chat	Positive semidefinite 3 x 3 block matrices	2014	Minghua Lin P. van den Driessche
+ PDF Chat	Inverses and eigenvalues of diamondalternating sign matrices	2014	Minerva Catral Minghua Lin D.D. Olesky P. van den Driessche
+	A cholera model in a patchy environment with water and human movement	2013	Marisa C. Eisenberg Zhisheng Shuai Joseph H. Tien P. van den Driessche
+ PDF Chat	Dynamics of an age-of-infection cholera model	2013	P. van den Driessche Zhisheng Shuai Fred Brauer
+ PDF Chat	Refined inertias of tree sign patterns of orders 2 and 3	2013	D.D. Olesky Michael F. Rempel P. van den Driessche
+	Sensitive dependence on initial conditions in gene networks	2013	Anna Machina Roderick Edwards P. van den Driessche
+	Reproduction numbers for discrete-time epidemic models with arbitrary stage distributions	2013	Nancy Hernández-Cerón Zhilan Feng P. van den Driessche
+	Relations between deterministic and stochastic thresholds for disease extinction in continuous- and discrete-time infectious disease models	2013	Linda J. S. Allen P. van den Driessche
+	The importance of contact network topology for the success of vaccination strategies	2013	Junling Ma P. van den Driessche Frederick H. Willeboordse
+	Singular Dynamics in Gene Network Models	2013	Anna Machina Roderick Edwards P. van den Driessche
+ PDF Chat	Refined inertias of tree sign-patterns	2013	Colin Garnett D.D. Olesky P. van den Driessche
+ PDF Chat	Extending the type reproduction number to infectious disease control targeting contacts between types	2012	Zhisheng Shuai Hans Heesterbeek P. van den Driessche
+	Cholera Models with Hyperinfectivity and Temporary Immunity	2012	Zhisheng Shuai Joseph H. Tien P. van den Driessche
+ PDF Chat	Parameters Related to Tree‐Width, Zero Forcing, and Maximum Nullity of a Graph	2012	Francesco Barioli Wayne Barrett Shaun Fallat H. Tracy Hall Leslie Hogben Bryan L. Shader P. van den Driessche Hein van der Holst
+	Reproduction numbers for infections with free-living pathogens growing in the environment	2012	Majid Bani-Yaghoub Raju Gautam Zhisheng Shuai P. van den Driessche Renata Ivanek
+	Effective degree household network disease model	2012	Junling Ma P. van den Driessche Frederick H. Willeboordse
+ PDF Chat	Sign patterns that allow strong eventual nonnegativity	2012	Minerva Catral Craig Erickson Leslie Hogben D.D. Olesky P. van den Driessche
+ PDF Chat	Representations for the Drazin inverse of block cyclic matrices	2012	Minerva Catral P. van den Driessche
+	Impact of heterogeneity on the dynamics of an SEIR epidemic model	2012	Zhisheng Shuai P. van den Driessche
+ PDF Chat	Vaccination against 2009 pandemic H1N1 in a population dynamical model of Vancouver, Canada: timing is everything	2011	Jessica M. Conway Ashleigh R. Tuite David N. Fisman Nathaniel Hupert Rafael Meza Bahman Davoudi Krista English P. van den Driessche Fred Brauer Junling Ma
+	Global dynamics of cholera models with differential infectivity	2011	Zhisheng Shuai P. van den Driessche
+	Constructions for potentially stable sign patterns	2011	David A. Grundy D.D. Olesky P. van den Driessche
+	Pandemic influenza: Modelling and public health perspectives	2011	Julien Arino Chris T. Bauch Fred Brauer S. Michelle Driedger Amy L. Greer Seyed M. Moghadas Nick J. Pizzi Beate Sander Ashleigh R. Tuite P. van den Driessche
+	Eventually Nonnegative Matrices and their Sign Patterns	2011	Minerva Catral Craig Erickson Leslie Hogben D.D. Olesky P. van den Driessche
+	Impact of group mixing on disease dynamics	2010	P. van den Driessche Lin Wang Xingfu Zou
+ PDF Chat	Zero forcing parameters and minimum rank problems	2010	Francesco Barioli Wayne Barrett Shaun Fallat H. Tracy Hall Leslie Hogben Bryan L. Shader P. van den Driessche Hein van der Holst
+	Zero forcing parameters and minimum rank problems	2010	Francesco Barioli Wayne Barrett Shaun Fallat H. Tracy Hall Leslie Hogben Bryan L. Shader P. van den Driessche Hein van der Holst
+	Effective degree network disease models	2010	Jennifer Lindquist Junling Ma P. van den Driessche Frederick H. Willeboordse
+	A multigroup model for a heterosexually transmitted disease	2010	Roderick Edwards Sehjeong Kim P. van den Driessche
+ PDF Chat	Refined inertially and spectrally arbitrary zero-nonzero patterns	2010	Louis Deaett D.D. Olesky P. van den Driessche
+	Zero forcing parameters and minimum rank problems	2010	Francesco Barioli Wayne Barrett Shaun Fallat H. Tracy Hall Leslie Hogben Bryan L. Shader P. van den Driessche Hein van der Holst
+	Graphical description of group inverses of certain bipartite matrices	2009	Minerva Catral D.D. Olesky P. van den Driessche
+	Allow problems concerning spectral properties of sign pattern matrices: A survey	2009	Minerva Catral D.D. Olesky P. van den Driessche
+ PDF Chat	Sign patterns that require or allow power-positivity	2009	Minerva Catral Leslie Hogben D.D. Olesky P. van den Driessche
+ PDF Chat	Block representations of the Drazin inverse of a bipartite matrix	2009	Minerva Catral D.D. Olesky P. van den Driessche
+ PDF Chat	Mv-matrices: a generalization of M-matrices based on eventually nonnegative matrices	2009	D.D. Olesky Michael J. Tsatsomeros P. van den Driessche
+	A graph-theoretic method for the basic reproduction number in continuous time epidemiological models	2008	T. de-Camino-Beck Mark A. Lewis P. van den Driessche
+	The control of vector-borne disease epidemics	2008	Geoffrey R. Hosack Philippe A. Rossignol P. van den Driessche
+	Oscillations in a patchy environment disease model	2008	Fred Brauer P. van den Driessche Lin Wang
+	Sufficient conditions for permutation equivalence to a WHS-matrix	2008	Ludwig Eisner D.D. Olesky P. van den Driessche
+	A model for influenza with vaccination and antiviral treatment	2008	Julien Arino Fred Brauer P. van den Driessche James Watmough Jian Wu
+	Primitive digraphs with smallest large exponent	2008	Gary MacGillivray Shahla Nasserasr D.D. Olesky P. van den Driessche
+	Bounds for the Perron root using max eigenvalues	2008	L. Elsner P. van den Driessche
+	Spatial Structure: Patch Models	2008	P. van den Driessche
+	Deterministic Compartmental Models: Extensions of Basic Models	2008	P. van den Driessche
+	Mathematical Epidemiology	2008	Fred Brauer P. van den Driessche Jian Wu
+	Further Notes on the Basic Reproduction Number	2008	P. van den Driessche James Watmough
+ PDF Chat	A sharp threshold for disease persistence in host metapopulations	2007	Thanate Dhirasakdanon Horst R. Thieme P. van den Driessche
+ PDF Chat	Case Fatality Proportion	2007	Junling Ma P. van den Driessche
+ PDF Chat	Impact of Travel Between Patches for Spatial Spread of Disease	2007	Ying‐Hen Hsieh P. van den Driessche Lin Wang
+	TIME DELAYS IN EPIDEMIC MODELS	2007	Julien Arino P. van den Driessche
+ PDF Chat	Products of M-matrices and nested sequences of principal minors	2007	David A. Grundy Charles Johnson D.D. Olesky P. van den Driessche
+ PDF Chat	Sign Patterns That Allow a Positive or Nonnegative Left Inverse	2007	In‐Jae Kim D.D. Olesky Bryan L. Shader P. van den Driessche
+	Modeling diseases with latency and relapse	2007	P. van den Driessche Lin Wang Xingfu Zou
+	A final size relation for epidemic models	2007	Julien Arino Fred Brauer P. van den Driessche James Watmough Jian Wu Julien Arino Fred Brauer P. van den Driessche James Watmough Jian Wu
+	Potentially nilpotent and spectrally arbitrary even cycle sign patterns	2006	B. Bingham D.D. Olesky P. van den Driessche
+	Modeling relapse in infectious diseases	2006	P. van den Driessche Xingfu Zou
+	Inertially arbitrary sign patterns with no nilpotent realization	2006	In‐Jae Kim D.D. Olesky P. van den Driessche
+ PDF Chat	Mathematical Study of a Staged-Progression HIV Model with Imperfect Vaccine	2006	Abba B. Gumel C. Connell McCluskey P. van den Driessche
+ PDF Chat	Simple models for containment of a pandemic	2006	Julien Arino Fred Brauer P. van den Driessche James Watmough Jian Wu
+	Metapopulations epidemic models. A survey	2006	Julien Arino P. van den Driessche
+	Stochastic epidemic models with a backward bifurcation	2006	Linda J. S. Allen P. van den Driessche
+	Traveling Waves and Spread Rates for a West Nile Virus Model	2006	Mark A. Lewis Joanna Rencławowicz P. van den Driessche
+ PDF Chat	A model for disease transmission in a patchy environment	2006	Mahin Salmani P. van den Driessche
+	Quarantine in a multi-species epidemic model with spatial dynamics	2005	Julien Arino Richard D. Jordan P. van den Driessche
+ PDF Chat	Permanents of Hessenberg (0,1)-matrices	2005	D.D. Olesky Bryan L. Shader P. van den Driessche
+	A multi-species epidemic model with spatial dynamics	2005	Julien Arino Jonathan R. Davis David Hartley Richard D. Jordan Joy M. Miller P. van den Driessche
+	Spectrally arbitrary star sign patterns	2005	Gary MacGillivray Ryan M. Tifenbach P. van den Driessche
+ PDF Chat	Schur complements of matrices with acyclic bipartite graphs	2005	Thomas Britz D.D. Olesky P. van den Driessche
+	The exponent and circumdiameter of primitive digraphs	2004	Lorraine Frances. Dame D.D. Olesky P. van den Driessche
+ PDF Chat	Modelling strategies for controlling SARS outbreaks	2004	Abba B. Gumel Shigui Ruan Troy Day James Watmough Fred Brauer P. van den Driessche D. Gabrielson Christopher Bowman Murray E. Alexander Sten Ardal
+	The Moore–Penrose inverse of matrices with an acyclic bipartite graph	2004	Thomas Britz D.D. Olesky P. van den Driessche
+	The Basic Reproduction Number in a Multi-city Compartmental Epidemic Model	2004	Julien Arino P. van den Driessche
+ PDF Chat	Matrix inversion and digraphs: the one factor case	2004	Thomas Britz D.D. Olesky P. van den Driessche
+	An epidemiology model that includes a leaky vaccine with a general waning function	2004	Julien Arino K. L. Cooke P. van den Driessche Jorge X. Velasco‐Hernández
+	Global Analysis of Two Tuberculosis Models	2004	C. Connell McCluskey P. van den Driessche
+	Low rank perturbations and the spectrum of a tridiagonal sign pattern	2003	L. Elsner D.D. Olesky P. van den Driessche
+	Some directions for mathematical epidemiology	2003	Fred Brauer P. van den Driessche
+	A multi-city epidemic model	2003	Julien Arino P. van den Driessche
+	On the Spectra of Striped Sign Patterns	2003	Judith J. McDonald D.D. Olesky Michael J. Tsatsomeros P. van den Driessche
+	Global Results for an Epidemic Model with Vaccination that Exhibits Backward Bifurcation	2003	Julien Arino C. Connell McCluskey P. van den Driessche
+	Exponents of tuples of nonnegative matrices	2002	D.D. Olesky Bryan L. Shader P. van den Driessche
+	Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission	2002	P. van den Driessche James Watmough
+	Interaction of maturation delay and nonlinear birth in population and epidemic models	2002	K. L. Cooke P. van den Driessche X. Zou
+	Maximal graphs and graphs with maximal spectral radius	2002	D.D. Olesky Aidan Roy P. van den Driessche
+	Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction	2002	Carlos Castillo‐Chávez Sally Blower P. van den Driessche Denise E. Kirschner Abdul-Aziz Yakubu
+	Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods, and Theory	2002	Carlos Castillo‐Chávez Sally Blower P. van den Driessche Denise E. Kirschner Abdul‐Aziz Yakubu
+	None	2002	J. D. Campbell David A. Harrington P. van den Driessche James Watmough
+	Models for transmission of disease with immigration of infectives	2001	Fred Brauer P. van den Driessche
+	Optimizing quadratic forms of adjacency matrices of trees and related eigenvalue problems	2001	Wai Shun Cheung Chi-Kwong Li D.D. Olesky P. van den Driessche
+	Bounding the number of cycles of O.D.E.s in 𝐑ⁿ	2000	M. Farkas P. van den Driessche Mary Lou Zeeman
+	A simple SIS epidemic model with a backward bifurcation	2000	P. van den Driessche James Watmough
+	Graphs with the same determinant as a complete graph	2000	D.D. Olesky P. van den Driessche J. H. Verner
+	Two SIS epidemiologic models with delays	2000	Herbert W. Hethcote P. van den Driessche
+ PDF Chat	Digraphs with large exponent	2000	Stephen Kirkland D.D. Olesky P. van den Driessche
+ PDF Chat	On matrices with all minors negative	2000	Shaun Fallat P. van den Driessche
+	On the power method in max algebra	1999	L. Elsner P. van den Driessche
+	Interaction of maturation delay and nonlinear birth in population and epidemic models	1999	K. L. Cooke P. van den Driessche Xingfu Zou
+	Elementary bidiagonal factorizations	1999	Charles R. Johnson D.D. Olesky P. van den Driessche
+	Relations between Perron—Frobenius results for matrix pencils	1999	Volker Mehrmann D.D. Olesky T.X.T. Phan P. van den Driessche
+	Global stability in cyclic epidemic models with disease fatalities	1998	Horst R. Thieme P. van den Driessche
+	An epidemic model with recruitment-death demographics and discrete delays	1998	Lynne Genik P. van den Driessche
+	Eigenvalue location for nonnegative and Z-matrices	1998	Shaun Fallat Charles R. Johnson Ronald L. Smith P. van den Driessche
+	Patterns that preserve sparsity in orthogonal factorization	1998	Satoru Iwata D.D. Olesky P. van den Driessche
+ PDF Chat	Z-Pencils	1998	Judith J. McDonald D.D. Olesky Hans Schneider Michael J. Tsatsomeros P. van den Driessche
+	Z-Pencils	1998	Judith J. McDonald D.D. Olesky Hans Schneider Michael J. Tsatsomeros P. van den Driessche
+	Ray patterns of matrices and nonsingularity	1997	Judith J. McDonald D.D. Olesky Michael J. Tsatsomeros P. van den Driessche
+	Backward bifurcation in epidemic control	1997	K. P. Hadeler P. van den Driessche
+ PDF Chat	Graph theoretic aspects of maximizing the spectral radius of nonnegative matrices	1997	Shaun Fallat D.D. Olesky P. van den Driessche
+	Analysis of an SEIRS epidemic model with two delays	1996	K. L. Cooke P. van den Driessche
+ PDF Chat	Spectra and inverse sign patterns of nearly sign-nonsingular matrices	1996	Thomas Lundy John S. Maybee D.D. Olesky P. van den Driessche
+	Classes of sign nonsingular matrices with a specified number of zero entries	1996	Bryan C.J. Green D.D. Olesky P. van den Driessche
+ PDF Chat	Maximizing the spectral radius of fixed trace diagonal perturbations of nonnegative matrices	1996	Charles R. Johnson Raphael Loewy D.D. Olesky P. van den Driessche
+	Minimum positive determinant of integer matrices with constant row and column sums	1995	Chi-Kwong Li David P. Stanford D.D. Olesky P. van den Driessche
+	Perron-frobenius theory for a generalized eigenproblem	1995	R.B. Bapat D.D. Olesky P. van den Driessche
+	Epidemiological models with varying population size and dose-dependent latent period	1995	Wei‐Min Liu P. van den Driessche
+	Sign determinancy in LU factorization of P-matrices	1995	Charles R. Johnson D.D. Olesky P. van den Driessche
+	An SIS epidemic model with variable population size and a delay	1995	Herbert W. Hethcote P. van den Driessche
+	Dominant eigenvalues under trace-preserving diagonal perturbations	1994	Charles R. Johnson David P. Stanford D.D. Olesky P. van den Driessche
+	An identity for the determinant	1994	Charles R. Johnson D.D. Olesky Michael J. Tsatsomeros P. van den Driessche
+	Some epidemiological models with delays	1994	P. van den Driessche
+	An epidemiological model for HIV/AIDS with proportional recruitment	1993	Xiaodong Lin Herbert W. Hethcote P. van den Driessche
+	Qualitative controllability and uncontrollability by a single entry	1993	D.D. Olesky Michael J. Tsatsomeros P. van den Driessche
+	Sparsity Analysis of the $QR$ Factorization	1993	Donovan R. Hare Charles R. Johnson D.D. Olesky P. van den Driessche
+ PDF Chat	Nullspaces of matrices and their compounds	1993	Michael J. Tsatsomeros John S. Maybee D.D. Olesky P. van den Driessche
+ PDF Chat	Spectra with positive elementary symmetric functions	1993	Charles R. Johnson D.D. Olesky Michael J. Tsatsomeros P. van den Driessche
+	The eigenproblem in max algebra	1993	R. B. Bapat David P. Stanford P. van den Driessche
+ PDF Chat	A threshold result for an epidemiological model	1992	X. Sheldon Lin P. van den Driessche
+ PDF Chat	A threshold result for an epidemiological model	1992	X. Sheldon Lin P. van den Driessche
+ PDF Chat	Strong forms of nonsingularity	1992	John H. Drew Charles R. Johnson P. van den Driessche
+ PDF Chat	Qualitative stability and solvability of difference equations	1991	Clark Jeffries P. van den Driessche
+ PDF Chat	A note on eigenvalues of fixed rank perturbations of diagonal matrices	1991	Wayne Barrett D.D. Olesky P. van den Driessche
+ PDF Chat	Nonexistence of Periodic Solutions for a Class of Epidemiological Models	1991	Stavros Busenberg P. van den Driessche
+ PDF Chat	Some epidemiological models with nonlinear incidence	1991	H. W. Hethcote P. van den Driessche
+ PDF Chat	An epidemiological model with a delay and a nonlinear incidence rate	1989	H. W. Hethcote Mark A. Lewis P. van den Driessche
+ PDF Chat	Inherited Matrix Entries: $LU$ Factorizations	1989	Charles R. Johnson D.D. Olesky P. van den Driessche
+ PDF Chat	Inherited Matrix Entries: Principal Submatrices of the Inverse	1987	Wayne Barrett Charles R. Johnson D.D. Olesky P. van den Driessche
+	Sign determinacy of M-matrix minors	1987	Charles R. Johnson D.D. Olesky B. G. Robertson P. van den Driessche
+	Stability of<i>m</i>-matrix products	1985	Charles R. Johnson D.D. Olesky P. van den Driessche
+	A Class of <i>M</i>-Matrices with Tree Graphs	1983	Charles R. Johnson D.D. Olesky P. van den Driessche
+	A Cyclic Epidemic Model with Temporary Immunity and Vital Dynamics	1983	P. van den Driessche
+	Stability analysis for models of diseases without immunity	1981	Herbert W. Hethcote Harlan W. Stech P. van den Driessche
+	Nonlinear Oscillations in Epidemic Models	1981	Herbert W. Hethcote Harlan W. Stech P. van den Driessche
+	PERIODICITY AND STABILITY IN EPIDEMIC MODELS: A SURVEY	1981	Herbert W. Hethcote Harlan W. Stech P. van den Driessche
+	Hopf Bifurcation and Stability of Periodic Solutions of Differential-difference and Integro-differential Equations	1978	Nicholas D. Kazarinoff Yuheng Wan P. van den Driessche
+	Linear algorithms for testing the sign stability of a matrix and for findingZ-maximum matchings in acyclic graphs	1977	Victor Klee P. van den Driessche
+	Time Scales in Population Biology	1977	W. D. Lakin P. van den Driessche
+	A note on minimal norms and the logarithmic derivative of a matrix	1977	D.D. Olesky P. van den Driessche
+ PDF Chat	Asymptotic expansion of integrals occurring in linear wave theory	1972	P. van den Driessche R. D. Braddock

Common Coauthors

Coauthor	Papers Together
D.D. Olesky	69
Minerva Catral	16
Charles R. Johnson	14
Junling Ma	12
Julien Arino	12
Fred Brauer	11
Leslie Hogben	11
Bryan L. Shader	10
Shaun Fallat	9
Michael J. Tsatsomeros	9
Zhisheng Shuai	9
James Watmough	9
Jian Wu	7
Adam H. Berliner	6
Wayne Barrett	6
Herbert W. Hethcote	6
Gary MacGillivray	5
H. Tracy Hall	5
Mark A. Lewis	5
Colin Garnett	4
Xingfu Zou	4
K. L. Cooke	4
Judith J. McDonald	4
Roderick Edwards	4
Natalia L. Komarova	4
Abdul‐Aziz Yakubu	4
Francesco Barioli	4
Hein van der Holst	4
Lin Wang	4
Michael Cavers	3
Harlan W. Stech	3
John Lowengrub	3
Stephen Kirkland	3
Keivan Hassani Monfared	3
L. Elsner	3
David P. Stanford	3
Thomas Britz	3
Dominik Wodarz	3
Frederick H. Willeboordse	3
Lora D. Weiss	3
Kevin N. Vander Meulen	3
C. Connell McCluskey	3
S M Asaduzzaman	2
Ashleigh R. Tuite	2
Sally Blower	2
Horst R. Thieme	2
Denise E. Kirschner	2
Seyed M. Moghadas	2
Carlos Castillo‐Chávez	2
Minghua Lin	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission	2002	P. van den Driessche James Watmough	46
+	Mathematical Epidemiology of Infectious Diseases: Model Building, Analysis and Interpretation	2000	Odo Diekmann Hans Heesterbeek	18
+	Nonlinear Oscillations in Epidemic Models	1981	Herbert W. Hethcote Harlan W. Stech P. van den Driessche	16
+ PDF Chat	On the definition and the computation of the basic reproduction ratio R 0 in models for infectious diseases in heterogeneous populations	1990	Odo Diekmann Hans Heesterbeek J.A.J. Metz	16
+	Mathematical Epidemiology of Infectious Diseases	1996	Odo Diekmann	15
+ PDF Chat	Combinatorial Matrix Theory	1991	Richard A. Brualdi H. J. Ryser	13
+	The Mathematics of Infectious Diseases	2000	Herbert W. Hethcote	13
+	Minimal Spectrally Arbitrary Sign Patterns	2004	Thomas Britz Judith J. McDonald D.D. Olesky P. van den Driessche	12
+ PDF Chat	Stability of Dynamical Systems	2018	Nivaldo A. Lemos̀	10
+	Nonlinear Volterra Integral Equations	2015	Richard K. Miller	10
+ PDF Chat	Mathematical Epidemiology of Infectious Diseases: Model Building, Analysis and Interpretation	2001	Andrew Roddam	9
+	An epidemic model in a patchy environment	2004	Wendi Wang Xiao‐Qiang Zhao	9
+	Qualitative analyses of communicable disease models	1976	Herbert W. Hethcote	9
+ PDF Chat	Matrices, Digraphs, and Determinants	1989	John S. Maybee D.D. Olesky Driessche P. van den Gerry Wiener	9
+ PDF Chat	The type-reproduction number T in models for infectious disease control	2006	Hans Heesterbeek M. G. Roberts	8
+	Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems	2008	Hal L. Smith	7
+ PDF Chat	Spread of epidemic disease on networks	2002	M. E. J. Newman	7
+	Some equations modelling growth processes and gonorrhea epidemics	1973	Kenneth L. Cooke James A. Yorke	7
+	Spectrally and inertially arbitrary sign patterns	2004	Michael Cavers Kevin N. Vander Meulen	7
+	Spatial Heterogeneity in Epidemic Models	1996	Alun L. Lloyd Robert M. May	7
+	Asymptotically Autonomous Epidemic Models	1994	Carlos Castillo‐Chávez Horst R. Thieme	7
+ PDF Chat	A simple vaccination model with multiple endemic states	2000	Christopher M. Kribs-Zaleta Jorge X. Velasco‐Hernández	7
+	A multi-city epidemic model	2003	Julien Arino P. van den Driessche	7
+	A structured epidemic model incorporating geographic mobility among regions	1995	Lisa Sattenspiel Klaus Dietz	7
+	Stability analysis for models of diseases without immunity	1981	Herbert W. Hethcote Harlan W. Stech P. van den Driessche	7
+	A contribution to the mathematical theory of epidemics	1927	W. O. Kermack A. G. McKendrick	6
+ PDF Chat	Generality of the Final Size Formula for an Epidemic of a Newly Invading Infectious Disease	2006	Junling Ma David J. D. Earn	6
+ PDF Chat	A note on a paper by Erik Volz: SIR dynamics in random networks	2010	Joel C. Miller	6
+	Containing Pandemic Influenza with Antiviral Agents	2004	Ira M. Longini	6
+	Discrete epidemic models	2010	Fred Brauer Zhilan Feng Carlos Castillo‐Chávez	6
+	Introduction to Functional Differential Equations	1993	Jack K. Hale Sjoerd M. Verduyn Lunel	6
+ PDF Chat	The many guises of R0 (a didactic note)	2016	J. M. Cushing Odo Diekmann	6
+ PDF Chat	Hyperinfectivity: A Critical Element in the Ability of V. cholerae to Cause Epidemics?	2005	David Hartley J. Glenn Morris David L. Smith	6
+	The Stability of Dynamical Systems	1976	J. P. La Salle	6
+	Cholera Epidemic in Haiti, 2010: Using a Transmission Model to Explain Spatial Spread of Disease and Identify Optimal Control Interventions	2011	Ashleigh R. Tuite Joseph H. Tien Marisa C. Eisenberg David J. D. Earn Junling Ma David N. Fisman	6
+ PDF Chat	An epidemiological model with a delay and a nonlinear incidence rate	1989	H. W. Hethcote Mark A. Lewis P. van den Driessche	6
+	Integral equation models for endemic infectious diseases	1980	Herbert W. Hethcote David Tudor	6
+	Epidemiological models for heterogeneous populations: proportionate mixing, parameter estimation, and immunization programs	1987	Herbert W. Hethcote James W. Van Ark	6
+	Mathematical Epidemiology	2008	Fred Brauer P. van den Driessche Jian Wu	6
+ PDF Chat	Strategies for containing an emerging influenza pandemic in Southeast Asia	2005	Neil M. Ferguson Derek A. T. Cummings Simon Cauchemez Christophe Fraser Steven Riley Aronrag Meeyai Sopon Iamsirithaworn Donald S. Burke	5
+	A deterministic model for gonorrhea in a nonhomogeneous population	1976	Ana Lajmanovich James A. Yorke	5
+	Transmission Dynamics and Control of Severe Acute Respiratory Syndrome	2003	Marc Lipsitch Ted Cohen Ben S. Cooper James M. Robins Stefan Ma Lyn James Gowri Gopalakrishna Suok Kai Chew Chorh Chuan Tan Matthew H. Samore	5
+	Global Results for an Epidemic Model with Vaccination that Exhibits Backward Bifurcation	2003	Julien Arino C. Connell McCluskey P. van den Driessche	5
+	A core group model for disease transmission	1995	K. P. Hadeler Carlos Castillo‐Chávez	5
+	The effect of integral conditions in certain equations modelling epidemics and population growth	1980	Stavros Busenberg Kenneth L. Cooke	5
+	Sign patterns that require real, nonreal or pure imaginary eigenvalues	1991	Carolyn A. Eschenbach Charles R. Johnson	5
+	Global-stability problem for coupled systems of differential equations on networks	2009	Michael Y. Li Zhisheng Shuai	5
+	On the Spectra of Striped Sign Patterns	2003	Judith J. McDonald D.D. Olesky Michael J. Tsatsomeros P. van den Driessche	5
+	Periodicity in Epidemiological Models	1989	Herbert W. Hethcote Simon A. Levin	5
+	Allow problems concerning spectral properties of sign pattern matrices: A survey	2009	Minerva Catral D.D. Olesky P. van den Driessche	5