Maia Martcheva

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All published works
Action Title Year Authors
+ A mathematical model for the role of vaccination and treatment in measles transmission in Turkey 2024 Osman Raşit Işık
Necibe Tuncer
Maia Martcheva
+ MATHEMATICAL MODEL OF MEASLES IN TURKEY 2024 Osman Raşit Işık
Necibe Tuncer
Maia Martcheva
+ TRANSMISSION DYNAMICS OF COVID-19 WITH DIABETES IN INDIA: A COST-EFFECTIVE AND OPTIMAL CONTROL ANALYSIS 2024 Jai Prakash Tripathi
Nitesh Kumawat
Komal Tanwar
P. Danumjaya
Maia Martcheva
+ PDF Chat Optimal control of a multi-scale HIV-opioid model 2024 Eric Numfor
Necibe Tuncer
Maia Martcheva
+ PDF Chat Solving Singular Control Problems in Mathematical Biology Using PASA 2023 Summer Atkins
Mahya Aghaee
Maia Martcheva
William W. Hager
+ Novel Hybrid Continuous-Discrete-Time Epidemic Models 2023 Maia Martcheva
Abdul‐Aziz Yakubu
Necibe Tuncer
+ PDF Chat A mathematical model for the impact of disinfectants on the control of bacterial diseases 2023 Rabindra Kumar Gupta
Rajanish Kumar
Pankaj Kumar Tiwari
A. K. Misra
Maia Martcheva
+ A multi-strain model with asymptomatic transmission: Application to COVID-19 in the US 2023 Shasha Gao
Mingwang Shen
Xueying Wang
Jin Wang
Maia Martcheva
Libin Rong
+ Deciphering the transmission dynamics of COVID-19 in India: optimal control and cost effective analysis 2022 Vijay Pal Bajiya
Sarita Bugalia
Jai Prakash Tripathi
Maia Martcheva
+ PDF Chat Parameter identifiability and optimal control of an SARS-CoV-2 model early in the pandemic 2022 Necibe Tuncer
Archana Timsina
Miriam Nuño
Gerardo Chowell
Maia Martcheva
+ MODELING THE CONTROL OF BACTERIAL DISEASE BY SOCIAL MEDIA ADVERTISEMENTS: EFFECTS OF AWARENESS AND SANITATION 2022 Pankaj Kumar Tiwari
Rajanish Kumar
Rabindra Kumar Gupta
Maia Martcheva
A. K. Misra
+ Using an age-structured COVID-19 epidemic model and data to model virulence evolution in Wuhan, China 2022 Xi-Chao Duan
Xue-Zhi Li
Maia Martcheva
Sanling Yuan
+ A network immuno-epidemiological model of HIV and opioid epidemics 2022 Churni Gupta
Necibe Tuncer
Maia Martcheva
+ PDF Chat Modeling and Research on an Immuno-Epidemiological Coupled System with Coinfection 2021 Xuezhi Li
Shasha Gao
Yi-Ke Fu
Maia Martcheva
+ Dynamics of an Age Structured Heroin Transmission Model with Imperfect Vaccination 2021 Xi-Chao Duan
Huanhuan Cheng
Maia Martcheva
Sanling Yuan
+ PDF Chat Modeling the effects of prosocial awareness on COVID-19 dynamics: Case studies on Colombia and India 2021 Indrajit Ghosh
Maia Martcheva
+ PDF Chat Effects of social-distancing on infectious disease dynamics: an evolutionary game theory and economic perspective 2021 Maia Martcheva
Necibe Tuncer
Calistus N. Ngonghala
+ PDF Chat Delay in budget allocation for vaccination and awareness induces chaos in an infectious disease model 2021 A. K. Misra
Rajanish Kumar
Pankaj Kumar Tiwari
Maia Martcheva
+ PDF Chat Determining reliable parameter estimates for within-host and within-vector models of Zika virus 2021 Necibe Tuncer
Maia Martcheva
+ Dynamics and optimal control of an age-structured SIRVS epidemic model 2020 Xi-Chao Duan
Il Hyo Jung
Xue-Zhi Li
Maia Martcheva
+ Qualitative analysis on a diffusive age-structured heroin transmission model 2020 Xi-Chao Duan
Xue-Zhi Li
Maia Martcheva
+ Nested Immuno-Epidemiological Models 2020 Xue-Zhi Li
Junyuan Yang
Maia Martcheva
+ Age-Since-Infection Structured Models Based on Game Theory 2020 Xue-Zhi Li
Junyuan Yang
Maia Martcheva
+ Age Structured Epidemic Modeling 2020 Xue-Zhi Li
Junyuan Yang
Maia Martcheva
+ Linear Age-Structured Population Models as a Base of Age-Structured Epidemic Models 2020 Xue-Zhi Li
Junyuan Yang
Maia Martcheva
+ Age Structured Models on Complex Networks 2020 Xue-Zhi Li
Junyuan Yang
Maia Martcheva
+ Vector-Borne Age-Structured Models 2020 Xue-Zhi Li
Junyuan Yang
Maia Martcheva
+ Age-Structured Epidemic Models 2020 Xue-Zhi Li
Junyuan Yang
Maia Martcheva
+ Class Age-Structured Epidemic Models 2020 Xue-Zhi Li
Junyuan Yang
Maia Martcheva
+ Solving Singular Control Problems in Mathematical Biology, Using PASA 2020 Summer Atkins
Mahya Aghaee
Maia Martcheva
William W. Hager
+ Computing human to human Avian influenza $\mathcal{R}_0$ via transmission chains and parameter estimation 2019 Omar Saucedo
Maia Martcheva
Abena Annor
+ PDF Chat Backward bifurcation, oscillations and chaos in an eco-epidemiological model with fear effect 2019 Amar Sha
Sudip Samanta
Maia Martcheva
Joydev Chattopadhyay
+ PDF Chat Methods for deriving necessary and sufficient conditions for backward bifurcation 2019 Maia Martcheva
+ Dynamics of an age-structured heroin transmission model with vaccination and treatment 2018 Xi-Chao Duan
Xuezhi Li
Maia Martcheva
+ Optimal control of an age-structured SVIRS model with treatment and vaccination 2018 Xi-Chao Duan
Xue-Zhi Li
Maia Martcheva
+ PDF Chat Efficacy of control measures in the control of Ebola, Liberia 2014–2015 2018 Necibe Tuncer
Chindu Mohanakumar
Samuel Swanson
Maia Martcheva
+ Immuno-Epidemiological Modeling of Infectious Diseases: A careful attempt at a review 2018 Maia Martcheva
+ PDF Chat Backward bifurcation and oscillations in a nested immuno-eco-epidemiological model 2017 Michael Barfield
Maia Martcheva
Necibe Tuncer
Robert D. Holt
+ PDF Chat Global dynamics of a vector-host epidemic model with age of infection 2017 Yan-Xia Dang
Zhipeng Qiu
Xue-Zhi Li
Maia Martcheva
+ PDF Chat Coexistence and competitive exclusion in an SIS model with standard incidence and diffusion 2016 Yixiang Wu
Necibe Tuncer
Maia Martcheva
+ Optimal control in multi-group coupled within-host and between-host models 2016 Eric Numfor
Souvik Bhattacharya
Maia Martcheva
Suzanne Lenhart
+ PDF Chat An immuno-eco-epidemiological model of competition 2016 Souvik Bhattacharya
Maia Martcheva
+ PDF Chat Competitive exclusion in a multi-strain immuno-epidemiological influenza model with environmental transmission 2016 Yan-Xia Dang
Xue-Zhi Li
Maia Martcheva
+ PDF Chat Imitation dynamics of vaccine decision-making behaviours based on the game theory 2015 Junyuan Yang
Maia Martcheva
Yuming Chen
+ PDF Chat Coupling Within-Host and Between-Host Infectious Diseases Models 2015 Maia Martcheva
Necibe Tuncer
Colette M. St. Mary
+ Global threshold dynamics of an SIVS model with waning vaccine-induced immunity and nonlinear incidence 2015 Junyuan Yang
Maia Martcheva
Lin Wang
+ Global stability for a heroin model with age-dependent susceptibility 2015 Bin Fang
Xuezhi Li
Maia Martcheva
Liming Cai
+ PDF Chat Spatial Heterogeneity, Host Movement and Mosquito-Borne Disease Transmission 2015 Miguel A. Acevedo
Olivia Prosper
Kenneth K. Lopiano
Nick Ruktanonchai
T. Trevor Caughlin
Maia Martcheva
Craig W. Osenberg
David L. Smith
+ Global asymptotic properties of a heroin epidemic model with treat-age 2015 Bin Fang
Xue-Zhi Li
Maia Martcheva
Liming Cai
+ On generalized cross validation for stable parameter selection in disease models 2015 Alexandra Smirnova
Maia Martcheva
Hui Liu
+ An Introduction to Mathematical Epidemiology 2015 Maia Martcheva
+ Zoonotic Disease, Avian Influenza, and Nonautonomous Models 2015 Maia Martcheva
+ Spatial Heterogeneity in Epidemiological Models 2015 Maia Martcheva
+ Techniques for Computing $$\mathcal{R}_{0}$$ 2015 Maia Martcheva
+ The SIR Model with Demography: General Properties of Planar Systems 2015 Maia Martcheva
+ Introduction to Epidemic Modeling 2015 Maia Martcheva
+ Class-Age Structured Epidemic Models 2015 Maia Martcheva
+ Discrete Epidemic Models 2015 Maia Martcheva
+ Analysis of Complex ODE Epidemic Models: Global Stability 2015 Maia Martcheva
+ Immuno-Epidemiological Modeling 2015 Maia Martcheva
+ Introduction 2015 Maia Martcheva
+ A Structured Avian Influenza Model with Imperfect Vaccination and Vaccine-Induced Asymptomatic Infection 2014 Hayriye Gulbudak
Maia Martcheva
+ PDF Chat Optimal Sampling Strategies for Detecting Zoonotic Disease Epidemics 2014 Jake M. Ferguson
Jessica B. Langebrake
Vincent L. Cannataro
Andrés J. García
Elizabeth Hamman
Maia Martcheva
Craig W. Osenberg
+ Optimal vaccination and bednet maintenance for the control of malaria in a region with naturally acquired immunity 2014 Olivia Prosper
Nick Ruktanonchai
Maia Martcheva
+ PDF Chat Dynamics of Low and High Pathogenic Avian Influenza in Wild and Domestic Bird Populations 2014 Necibe Tuncer
Juan Antonio Torres
Maia Martcheva
+ Dynamics of Low and High Pathogenic Avian Influenza in Wild and Domestic Bird Populations 2014 Necibe Tuncer
Juan A. Torres
Maia Martcheva
+ AVIAN FLU: MODELING AND IMPLICATIONS FOR CONTROL 2014 Maia Martcheva
+ PDF Chat Optimal Control in Coupled Within-host and Between-host Models 2014 Eric Numfor
Souvik Bhattacharya
Suzanne Lenhart
Maia Martcheva
+ MODELING SEASONALITY IN AVIAN INFLUENZA H5N1 2013 Necibe Tuncer
Maia Martcheva
+ PDF Chat Forward hysteresis and backward bifurcation caused by culling in an avian influenza model 2013 Hayriye Gulbudak
Maia Martcheva
+ Forward Hysteresis and Backward Bifurcation Caused by Culling in an Avian Influenza Model 2013 Hayriye Gulbudak
Maia Martcheva
+ PDF Chat Linking immunological and epidemiological dynamics of HIV: the case of super-infection 2013 Maia Martcheva
Xue-Zhi Li
+ Competitive exclusion in an infection-age structured model with environmental transmission 2013 Maia Martcheva
Xue-Zhi Li
+ The vector–host epidemic model with multiple strains in a patchy environment 2013 Zhipeng Qiu
Qingkai Kong
Xue-Zhi Li
Maia Martcheva
+ Competitive exclusion in a vector–host epidemic model with distributed delay<sup>†</sup> 2013 Liming Cai
Maia Martcheva
Xuezhi Li
+ Epidemic models with age of infection, indirect transmission and incomplete treatment 2013 Liming Cai
Maia Martcheva
Xuezhi Li
+ Forward Hysteresis and Backward Bifurcation Caused by Culling in an Avian Influenza Model 2013 Hayriye Gulbudak
Maia Martcheva
+ Multi-strain persistence induced by host age structure 2012 Zhipeng Qiu
Xuezhi Li
Maia Martcheva
+ DYNAMICS OF LOW AND HIGH PATHOGENIC AVIAN INFLUENZA IN WILD BIRD POPULATION 2012 Necibe Tuncer
Juan A. Torres
Maia Martcheva
+ Analytical and numerical approaches to coexistence of strains in a two-strain SIS model with diffusion 2011 Necibe Tuncer
Maia Martcheva
+ Global stability of a DS–DI epidemic model with age of infection 2011 Junyuan Yang
Xuezhi Li
Maia Martcheva
+ PDF Chat An evolutionary model of influenza A with drift and shift 2011 Maia Martcheva
+ A TUBERCULOSIS (TB) MODEL WITH UNDETECTED COMPARTMENT: AN APPLICATION TO CHINA 2011 Xue-Zhi Li
Souvik Bhattacharya
Junyuan Yang
Maia Martcheva
+ A cost-based comparison of quarantine strategies for new emerging diseases 2010 Anuj Mubayi
Christopher Kribs Zaleta
Maia Martcheva
Carlos Castillo‐Chávez
+ An age-structured two-strain epidemic model with super-infection 2010 Xue-Zhi Li
Jixuan Liu
Maia Martcheva
+ IMMUNE LEVEL APPROACH FOR MULTIPLE STRAIN PATHOGENS 2009 Miriam Nuño
Maia Martcheva
Carlos Castillo‐Chávez
+ PDF Chat A non-autonomous multi-strain SIS epidemic model 2009 Maia Martcheva
+ SEROTYPE REPLACEMENT OF VERTICALLY TRANSMITTED DISEASES THROUGH PERFECT VACCINATION 2008 DOUGLAS H. THOMASEY
Maia Martcheva
+ An epidemic model of a vector-borne disease with direct transmission and time delay 2008 Huiming Wei
Xue-Zhi Li
Maia Martcheva
+ PDF Chat Kolmogorov’s differential equations and positive semigroups on first moment sequence spaces 2008 Maia Martcheva
Horst R. Thieme
Thanate Dhirasakdanon
+ Infinite ODE Systems Modeling Size-Structured Metapopulations, Macroparasitic Diseases, and Prion Proliferation 2008 Maia Martcheva
Horst R. Thieme
+ Mathematical Models of Influenza: The Role of Cross-Immunity, Quarantine and Age-Structure 2008 Miriam Nuño
Carlos Castillo‐Chávez
Zhilan Feng
Maia Martcheva
+ Subthreshold and superthreshold coexistence of pathogen variants: The impact of host age-structure 2006 Maia Martcheva
Sergei S. Pilyugin
Robert D. Holt
+ AN EPIDEMIC MODEL STRUCTURED BY HOST IMMUNITY 2006 Maia Martcheva
Sergei S. Pilyugin
+ Strain replacement in an epidemic model with super-infection and perfect vaccination 2005 Mimmo Iannelli
Maia Martcheva
Xue-Zhi Li
+ PDF Chat Dynamics of Two-Strain Influenza with Isolation and Partial Cross-Immunity 2005 Miriam Nuño
Zhilan Feng
Maia Martcheva
Carlos Castillo‐Chávez
+ The transmission of meningococcal infection: a mathematical study 2003 Maia Martcheva
Gloria Crispino-O’Connell
+ Progression age enhanced backward bifurcation in an epidemic model with super-infection 2003 Maia Martcheva
Horst R. Thieme
+ Homogeneous Dynamical Systems and the Age-Structured SIR Model with Proportionate Mixing Incidence 2003 Mimmo Iannelli
Maia Martcheva
+ PDF Chat Vaccination strategies and backward bifurcation in an age-since-infection structured model 2002 Christopher M. Kribs-Zaleta
Maia Martcheva
+ A two‐sex age‐structured population model: Well posedness 1999 Maia Martcheva
Fabio Milner
Common Coauthors
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
20
+ Lyapunov functional and global asymptotic stability for an infection-age model 2010 Pierre Magal
C. Connell McCluskey
Glenn F. Webb
16
+ PDF Chat Epidemiological models with age structure, proportionate mixing, and cross-immunity 1989 Carlos Castillo‐Chávez
H. W. Hethcote
Viggo Andreasen
Simon A. Levin
W. M. Liu
15
+ An Introduction to Mathematical Epidemiology 2015 Maia Martcheva
15
+ Progression age enhanced backward bifurcation in an epidemic model with super-infection 2003 Maia Martcheva
Horst R. Thieme
15
+ PDF Chat How May Infection-Age-Dependent Infectivity Affect the Dynamics of HIV/AIDS? 1993 Horst R. Thieme
Carlos Castillo‐Chávez
13
+ Uniform persistence and permanence for non-autonomous semiflows in population biology 2000 Horst R. Thieme
12
+ Dynamical Models of Tuberculosis and Their Applications 2004 Carlos Castillo‐Chávez
Baojun Song
10
+ Mathematics in Population Biology 2003 Horst R. Thieme
10
+ 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
9
+ Strain replacement in an epidemic model with super-infection and perfect vaccination 2005 Mimmo Iannelli
Maia Martcheva
Xue-Zhi Li
9
+ PDF Chat Linking immunological and epidemiological dynamics of HIV: the case of super-infection 2013 Maia Martcheva
Xue-Zhi Li
9
+ The Mathematics of Infectious Diseases 2000 Herbert W. Hethcote
9
+ Avian flu pandemic: Can we prevent it? 2008 Shingo Iwami
Yasuhiro Takeuchi
Xianning Liu
8
+ A contribution to the mathematical theory of epidemics 1927 W. O. Kermack
A. G. McKendrick
8
+ PDF Chat Semiflows generated by Lipschitz perturbations of non-densely defined operators 1990 Horst R. Thieme
8
+ PDF Chat Dynamics of Two-Strain Influenza with Isolation and Partial Cross-Immunity 2005 Miriam Nuño
Zhilan Feng
Maia Martcheva
Carlos Castillo‐Chávez
7
+ The dynamics of cocirculating influenza strains conferring partial cross-immunity 1997 Viggo Andreasen
Juan Lin
Simon A. Levin
7
+ Avian–human influenza epidemic model 2006 Shingo Iwami
Yasuhiro Takeuchi
Xianning Liu
7
+ PDF Chat Prevention of avian influenza epidemic: What policy should we choose? 2008 Shingo Iwami
Yasuhiro Takeuchi
Andrei Korobeinikov
Xianning Liu
7
+ PDF Chat Competitive exclusion in a vector-host model for the dengue fever 1997 Zhilan Feng
Jorge X. Velasco‐Hernández
7
+ Compact attractors for time-periodic age-structured population models. 2001 Pierre Magal
6
+ Recurrent outbreaks of childhood diseases revisited: The impact of isolation 1995 Zhilan Feng
Horst R. Thieme
6
+ Persistence in Infinite-Dimensional Systems 1989 Jack K. Hale
Paul Waltman
6
+ PDF Chat Vaccination strategies and backward bifurcation in an age-since-infection structured model 2002 Christopher M. Kribs-Zaleta
Maia Martcheva
6
+ PDF Chat A simple vaccination model with multiple endemic states 2000 Christopher M. Kribs-Zaleta
Jorge X. Velasco‐Hernández
6
+ A Model for Tuberculosis with Exogenous Reinfection 2000 Zhilan Feng
Carlos Castillo‐Chávez
Angel F. Capurro
6
+ PDF Chat Mathematical Models in Population Biology and Epidemiology 2001 Fred Brauer
Carlos Castillo‐Chávez
6
+ Subthreshold and superthreshold coexistence of pathogen variants: The impact of host age-structure 2006 Maia Martcheva
Sergei S. Pilyugin
Robert D. Holt
6
+ Global stability of an age-structure model for TB and its applications to optimal vaccination strategies 1998 Carlos Castillo‐Chávez
Zhilan Feng
6
+ Mathematical assessment of the impact of non-pharmaceutical interventions on curtailing the 2019 novel Coronavirus 2020 Calistus N. Ngonghala
Enahoro Iboi
Steffen E. Eikenberry
Matthew Scotch
C. Raina MacIntyre
Matthew H. Bonds
Abba B. Gumel
5
+ Periodic solutions: a robust numerical method for an S-I-R model of epidemics 1999 Fabio Milner
Andrea Pugliese
5
+ Virus dynamics 2000 Martin A. Nowak
Robert M. May
5
+ A model for coupling within-host and between-host dynamics in an infectious disease 2011 Zhilan Feng
Jorge X. Velasco‐Hernández
Brenda Tapia-Santos
Maria C. A. Leite
5
+ Pathogen Coexistence Induced by Density-dependent Host Mortality 1995 Viggo Andreasen
Andrea Pugliese
5
+ Global stability of an SVEIR epidemic model with ages of vaccination and latency 2014 Xi-Chao Duan
Sanling Yuan
Zhipeng Qiu
Junling Ma
5
+ Global Behavior of an Age-Structured Epidemic Model 1991 Stavros Busenberg
Mimmo Iannelli
Horst R. Thieme
5
+ Global asymptotic properties of a heroin epidemic model with treat-age 2015 Bin Fang
Xue-Zhi Li
Maia Martcheva
Liming Cai
5
+ Avian-human influenza epidemic model with diffusion 2008 Kwang Ik Kim
Zhigui Lin
Lai Zhang
5
+ Differential equation models of some parasitic infections: Methods for the study of asymptotic behavior 1985 Warren M. Hirsch
Herman Hanisch
J.-P. Gabriel
5
+ Global analysis of age-structured within-host virus model 2013 Cameron J. Browne
Sergei S. Pilyugin
5
+ Global Attractors and Steady States for Uniformly Persistent Dynamical Systems 2005 Pierre Magal
Xiaoqiang Zhao
5
+ PDF Chat Optimal Control in Coupled Within-host and Between-host Models 2014 Eric Numfor
Souvik Bhattacharya
Suzanne Lenhart
Maia Martcheva
5
+ Within-host pathogen dynamics: Some ecological and evolutionary consequences of transients, dispersal mode, and within-host spatial heterogeneity 2006 Robert D. Holt
Michael Barfield
5
+ Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems 2008 Hal L. Smith
5
+ The vector–host epidemic model with multiple strains in a patchy environment 2013 Zhipeng Qiu
Qingkai Kong
Xue-Zhi Li
Maia Martcheva
5
+ PDF Chat An evolutionary model of influenza A with drift and shift 2011 Maia Martcheva
5
+ AVIAN FLU: MODELING AND IMPLICATIONS FOR CONTROL 2014 Maia Martcheva
5
+ Lyapunov Functions and Global Stability for Age-Structured HIV Infection Model 2012 Gang Huang
Xianning Liu
Yasuhiro Takeuchi
4
+ Competitive exclusion in an infection-age structured model with environmental transmission 2013 Maia Martcheva
Xue-Zhi Li
4