Patrick W. Nelson

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All published works

Action	Title	Year	Authors
+ PDF Chat	A Mathematical Study of COVID-19 Spread by Vaccination Status in Virginia	2022	Matthew D. Johnston Bruce Pell Patrick W. Nelson
+	A data-validated temporary immunity model of COVID-19 spread in Michigan	2022	Bruce Pell Matthew D. Johnston Patrick W. Nelson
+	Dynamical Systems Theory, Delay Differential Equations	2013	Patrick W. Nelson
+	Robust control and time-domain specifications for systems of delay differential equations via eigenvalue assignment	2008	Sun Yi Patrick W. Nelson A. Galip Ulsoy
+	Model Selection and Mixed-Effects Modeling of HIV Infection Dynamics	2006	David M. Bortz Patrick W. Nelson
+	An Age-Structured Model of HIV Infection that Allows for Variations in the Production Rate of Viral Particles and the Death Rate of Productively Infected Cells	2004	Patrick W. Nelson Michael A. Gilchrist Daniel Coombs James M. Hyman Alan S. Perelson
+ PDF Chat	Modeling viral infections	2002	Alan S. Perelson Patrick W. Nelson
+	Codes for Boundary-Value Problems in Ordinary Differential Equations : Proceedings of a Working Conference May 14-17, 1978	1979	Bart Childs M Scott James W. Daniel Eugene D. Denman Patrick W. Nelson
+	Codes for Boundary-Value Problems in Ordinary Differential Equations	1979	Bart Childs Melvin R. Scott James W. Daniel Eugene D. Denman Patrick W. Nelson

Common Coauthors

Coauthor	Papers Together
James W. Daniel	2
Bart Childs	2
Matthew D. Johnston	2
Eugene D. Denman	2
Alan S. Perelson	2
Bruce Pell	2
Sun Yi	1
Melvin R. Scott	1
A. Galip Ulsoy	1
James M. Hyman	1
M Scott	1
Michael A. Gilchrist	1
David M. Bortz	1
Daniel Coombs	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A hybrid multi-scale model of COVID-19 transmission dynamics to assess the potential of non-pharmaceutical interventions	2020	Anass Bouchnita Aissam Jebrane	2
+ PDF Chat	Model-informed COVID-19 vaccine prioritization strategies by age and serostatus	2021	Kate M. Bubar Kyle Reinholt Stephen M. Kissler Marc Lipsitch Sarah Cobey Yonatan H. Grad Daniel B. Larremore	2
+ PDF Chat	Estimation of the reproductive number of novel coronavirus (COVID-19) and the probable outbreak size on the Diamond Princess cruise ship: A data-driven analysis	2020	Sheng Zhang MengYuan Diao Wenbo Yu Lei Pei Zhaofen Lin Dechang Chen	2
+ PDF Chat	Preliminary estimates of the reproduction number of the coronavirus disease (COVID-19) outbreak in Republic of Korea and Italy by 5 March 2020	2020	Zian Zhuang Shi Zhao Qianying Lin Peihua Cao Yijun Lou Lin Yang Shu Yang Daihai He Li Xiao	2
+	Modeling the spread of COVID-19 in Germany: Early assessment and possible scenarios	2020	Maria Vittoria Barbarossa Jan Fuhrmann Jan H. Meinke Stefan Krieg Hridya Vinod Varma Noemi Castelletti Thomas Lippert	2
+ PDF Chat	Modelling transmission and control of the COVID-19 pandemic in Australia	2020	Sheryl L. Chang Nathan Harding Cameron Zachreson Oliver M. Cliff Mikhail Prokopenko	2
+ PDF Chat	Early dynamics of transmission and control of COVID-19: a mathematical modelling study	2020	Adam J. Kucharski Timothy Russell Charlie Diamond Yang Liu John Edmunds Sebastian Funk Rosalind M. Eggo Fiona Sun Mark Jit James D. Munday	2
+	A contribution to the mathematical theory of epidemics	1927	W. O. Kermack A. G. McKendrick	2
+ PDF Chat	Immuno-epidemiology of a population structured by immune status: a mathematical study of waning immunity and immune system boosting	2015	Maria Vittoria Barbarossa Gergely Röst	1
+	Model selection criteria based on Kullback information measures for nonlinear regression	2004	Hyunjoo Kim Joseph E. Cavanaugh	1
+ PDF Chat	DIFFERENTIAL-DIFFERENCE EQUATIONS	1987	Kenneth L. Cooke	1
+ PDF Chat	How May Infection-Age-Dependent Infectivity Affect the Dynamics of HIV/AIDS?	1993	Horst R. Thieme Carlos Castillo‐Chávez	1
+	The numerical differentiation of discrete functions using polynomial interpolation methods	1982	James M. Hyman Bernard Larrouturou	1
+	An eigenvalue based approach for the robust stabilization of linear time-delay systems	2003	Wim Michiels Dirk Roose	1
+	Delay differential equations	2012	Alexandre N. Carvalho José A. Langa James C. Robinson	1
+ PDF Chat	A formula for computation of the real stability radius	1995	Li Qiu Bo Bernhardsson Anders Rantzer E.J. Davison Peter M. Young John C. Doyle	1
+	Real stability radii of linear time-invariant time-delay systems	2003	Guangdi Hu E.J. Davison	1
+	Information Theory and an Extension of the Maximum Likelihood Principle	1998	H. Akaike	1
+	An SIR epidemic model with partial temporary immunity modeled with delay	2009	Michael L. Taylor Thomas W. Carr	1
+	Finite spectrum assignment problem for systems with delays	1979	A. Manitius A.W. Olbrot	1
+	Theory of Functional Differential Equations	1977	Jack K. Hale	1
+	A Two-Strain Tuberculosis Model with Age of Infection	2002	Zhi‐Yong Feng Mimmo Iannelli Fabio Milner	1
+	The statistical analysis of shape data	1989	Kanti V. Mardia Ian L. Dryden	1
+	Statistical methods for model comparison in parameter estimation problems for distributed systems	1990	H. T. Banks Ben Fitzpatrick	1
+	Stability analysis for equilibria in age-specific population dynamics	1983	Jan Prüβ	1
+	Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission	2002	P. van den Driessche James Watmough	1
+	The construction of next-generation matrices for compartmental epidemic models	2009	Odo Diekmann Hans Heesterbeek Michael C. Roberts	1
+ PDF Chat	Continuous pole placement for delay equations	2002	Wim Michiels Koen Engelborghs P. Vansevenant Dirk Roose	1
+ PDF Chat	To treat or not to treat: the case of tuberculosis	1997	Carlos Castillo‐Chávez Zhilan Feng	1
+ PDF Chat	Dynamics of HIV infection of CD4+ T cells	1993	Alan S. Perelson Denise E. Kirschner Rob J. de Boer	1
+	The Mathematics of Infectious Diseases	2000	Herbert W. Hethcote	1
+	SUNDIALS	2005	A.C. Hindmarsh Peter N. Brown Keith Eric Grant Steven L. Lee Radu Serban Dan Shumaker Carol S. Woodward	1
+	Exponential type calculus for linear delay equations	1989	Sjoerd M. Verduyn Lunel	1
+ PDF Chat	Estimating the Dimension of a Model	1978	Gideon Schwarz	1
+	Classification and related methods of data analysis	1989		1
+ PDF Chat	Waning Immunity Is Associated with Periodic Large Outbreaks of Mumps: A Mathematical Modeling Study of Scottish Data	2017	Dalila Hamami Ross Cameron Kevin G. Pollock Carron Shankland	1
+	Reproduction numbers of infectious disease models	2017	P. van den Driessche	1
+	A generalized-growth model to characterize the early ascending phase of infectious disease outbreaks	2016	Cécile Viboud Lone Simonsen Gerardo Chowell	1
+ PDF Chat	On models of physiologically structured populations and their reduction to ordinary differential equations	2019	Odo Diekmann Mats Gyllenberg J.A.J. Metz	1
+	Introduction to the Theory and Application of Differential Equations with Deviating Arguments	1973		1
+	Modeling the waning and boosting of immunity from infection or vaccination	2020	Rose‐Marie Carlsson Lauren M. Childs Zhilan Feng John W. Glasser Jane M. Heffernan Jing Li Gergely Röst	1
+	To mask or not to mask: Modeling the potential for face mask use by the general public to curtail the COVID-19 pandemic	2020	Steffen E. Eikenberry Marina Mancuso Enahoro Iboi Tin Phan Keenan Eikenberry Yang Kuang Eric J. Kostelich Abba B. Gumel	1
+	A COVID-19 epidemic model with latency period	2020	Zihe Liu Pierre Magal Ousmane Seydi Glenn F. Webb	1
+ PDF Chat	Modelling COVID-19	2020	Alessandro Vespignani Huaiyu Tian Christopher Dye James O. Lloyd‐Smith Rosalind M. Eggo Munik Shrestha Samuel V. Scarpino Bernardo Gutiérrez Moritz U. G. Kraemer Joseph T. Wu	1
+ PDF Chat	Accounting for symptomatic and asymptomatic in a SEIR-type model of COVID-19	2020	Jayrold P‎. ‎Arcede Randy L. Caga-anan Cheryl Q. Mentuda Youcef Mammeri	1
+	Simulating the spread of COVID-19 via a spatially-resolved susceptible–exposed–infected–recovered–deceased (SEIRD) model with heterogeneous diffusion	2020	Alex Viguerie Guillermo Lorenzo Ferdinando Auricchio Davide Baroli Thomas J.R. Hughes Alessia Patton Alessandro Reali Thomas E. Yankeelov Alessandro Veneziani	1
+	Management strategies in a SEIR-type model of COVID 19 community spread	2020	Anca Rǎdulescu Cassandra Williams Kieran Cavanagh	1
+	Comparing COVID-19 vaccine allocation strategies in India: A mathematical modelling study	2020	Brody H. Foy Brian Wahl Kayur Mehta Anita Shet Gautam I. Menon Carl Britto	1
+ PDF Chat	Mathematical model of COVID-19 transmission in the presence of waning immunity	2021	Fatuh Inayaturohmat R N Zikkah Asep K. Supriatna Nursanti Anggriani	1
+	Extensions of the SEIR model for the analysis of tailored social distancing and tracing approaches to cope with COVID-19	2021	Veronika Grimm Friederike Mengel Martin Schmidt	1