Edit Profile (opens in new tab) Martcheva, Maia Co-Author Distance Author ID: martcheva.maia Published as: Martcheva, Maia; Martcheva, M. Documents Indexed: 115 Publications since 1997, including 3 Books and 1 Additional arXiv Preprint 3 Contributions as Editor Co-Authors: 97 Co-Authors with 112 Joint Publications 2,586 Co-Co-Authors all top 5 Co-Authors 6 single-authored 29 Li, Xuezhi 21 Tuncer, Necibe 9 Duan, Xichao 7 Cai, Liming 7 Castillo-Chavez, Carlos 7 Gao, Shasha 6 Bhattacharya, Souvik 6 Iannelli, Mimmo 5 Prosper, Olivia 5 Rong, Libin 5 Thieme, Horst R. 5 Tiwari, Pankaj Kumar 5 Yang, Junyuan 4 Chattopadhyay, Joydev 4 Gulbudak, Hayriye 4 Nuno, Miriam 3 Fang, Bin 3 Feng, Zhilan 3 Holt, Robert D. 3 Miao, Hongyu 3 Milner, Fabio Augusto 3 Misra, Arvind Kumar 3 Numfor, Eric 3 Pilyugin, Sergei S. 3 Qiu, Zhipeng 3 Rai, Rajanish Kumar 3 Yuan, Sanling 2 Barfield, Michael 2 Bolker, Benjamin M. 2 Cannataro, Vincent L. 2 Chen, Yuming 2 Childs, Lauren M. 2 Dang, Yanxia 2 Dhirasakdanon, Thanate 2 Ghosh, Indrajit 2 Gupta, Churni 2 Gupta, Rabindra Kumar 2 Lenhart, Suzanne M. 2 Ngonghala, Calistus N. 2 Ruktanonchai, Nick W. 2 Samanta, Sudip 2 Saucedo, Omar 2 Welker, Jonathan Shane 1 Aghaee, Mahya 1 Annor, Abena 1 Atkins, Summer 1 Bajiya, Vijay Pal 1 Bandara, Tharusha 1 Barbu, Viorel 1 Bugalia, Sarita 1 Cantrell, Robert Stephen 1 Cheng, Huanhuan 1 Chowell, Gerardo 1 Crispino-O’Connell, Gloria 1 Debroy, Swati 1 Fu, Yike 1 Hager, William W. 1 Hoppensteadt, Frank C. 1 Inaba, Hisashi 1 Işik, Osman Raşit 1 Jung, Il Hyo 1 Kim, Yena 1 Kong, Qingkai 1 Kribs-Zaleta, Christopher M. 1 Lashari, Abid Ali 1 Liu, Hui 1 Liu, Jixuan 1 Mandal, Sandip 1 St. Mary, Colette Marie 1 Mohanakumar, Chindu 1 Mubayi, Anuj 1 Nadim, Sk Shahid 1 Nevai, Andrew L. 1 Pal, Nikhil Ranjan 1 Pal, Samaresh 1 Ruan, Shigui 1 Sha, Amar 1 Shen, Mingwang 1 Shim, Eunha 1 Shuai, Zhisheng 1 Sk, Nazmul 1 Smirnova, Alexandra B. 1 Swanson, Samuel 1 Thomasey, Douglas H. 1 Timsina, Archana Neupane 1 Tripathi, Jai Prakash 1 Wang, Chenglong 1 Wang, Jin 1 Wang, Lin 1 Wang, Xia 1 Wang, Xueying 1 Wei, Huiming 1 Wu, YiXiang 1 Yakubu, Abdul-Aziz 1 Yin, Junfeng 1 Zaleta, Christopher Kribs 1 Zhao, Jiangyue all top 5 Serials 28 Journal of Biological Dynamics 11 Mathematical Biosciences 10 Bulletin of Mathematical Biology 10 Journal of Biological Systems 9 Journal of Mathematical Analysis and Applications 7 Mathematical Biosciences and Engineering 5 Journal of Mathematical Biology 4 Journal of Theoretical Biology 3 Mathematical Population Studies 3 Discrete and Continuous Dynamical Systems. Series B 2 Mathematical Methods in the Applied Sciences 2 SIAM Journal on Applied Mathematics 2 Mathematical Modelling of Natural Phenomena 2 Biomath 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Dynamic Systems and Applications 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of Inverse and Ill-Posed Problems 1 Natural Resource Modeling 1 Nonlinear Analysis. Real World Applications 1 Journal of Systems Science and Complexity 1 Frontiers in Applied Mathematics 1 Interdisciplinary Applied Mathematics 1 Texts in Applied Mathematics 1 Mathematics 1 Contemporary Mathematics and Its Applications: Monographs, Expositions and Lecture Notes all top 5 Fields 115 Biology and other natural sciences (92-XX) 38 Ordinary differential equations (34-XX) 26 Partial differential equations (35-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Numerical analysis (65-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Systems theory; control (93-XX) 6 Operator theory (47-XX) 4 Integral equations (45-XX) 3 General and overarching topics; collections (00-XX) 2 Probability theory and stochastic processes (60-XX) 1 Difference and functional equations (39-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 104 Publications have been cited 1,937 times in 1,414 Documents Cited by ▼ Year ▼ An introduction to mathematical epidemiology. Zbl 1333.92006 Martcheva, Maia 431 2015 Progression age enhanced backward bifurcation in an epidemic model with super-infection. Zbl 1097.92046 Martcheva, Maia; Thieme, Horst R. 96 2003 An epidemic model of a vector-borne disease with direct transmission and time delay. Zbl 1146.34059 Wei, Hui-Ming; Li, Xue-Zhi; Martcheva, Maia 78 2008 Dynamics of two-strain influenza with isolation and partial cross-immunity. Zbl 1075.92041 Nuño, M.; Feng, Z.; Martcheva, M.; Castillo-Chavez, C. 58 2005 Gender-structured population modeling. Mathematical methods, numerics, and simulations. Zbl 1107.91076 Iannelli, M.; Martcheva, M.; Milner, F. A. 55 2005 Vaccination strategies and backward bifurcation in an age-since-infection structured model. Zbl 0998.92033 Kribs-Zaleta, Christopher M.; Martcheva, Maia 52 2002 Strain replacement in an epidemic model with super-infection and perfect vaccination. Zbl 1065.92043 Iannelli, Mimmo; Martcheva, Maia; Li, Xue-Zhi 51 2005 On the controllability of the Lotka-McKendrick model of population dynamics. Zbl 0961.92024 Barbu, Viorel; Iannelli, Mimmo; Martcheva, Maia 49 2001 An age-structured epidemic model of rotavirus with vaccination. Zbl 1113.92045 Shim, E.; Feng, Z.; Martcheva, M.; Castillo-Chavez, C. 41 2006 The role of coinfection in multidisease dynamics. Zbl 1096.92037 Martcheva, Maia; Pilyugin, Sergei S. 39 2006 Age structured epidemic modeling. Zbl 1435.92002 Li, Xue-Zhi; Yang, Junyuan; Martcheva, Maia 38 2020 Diseases with chronic stage in a population with varying size. Zbl 1012.92024 Martcheva, Maia; Castillo-Chavez, Carlos 35 2003 A non-autonomous multi-strain SIS epidemic model. Zbl 1342.92258 Martcheva, Maia 33 2009 Global asymptotic properties of a heroin epidemic model with treat-age. Zbl 1410.92119 Fang, Bin; Li, Xue-Zhi; Martcheva, Maia; Cai, Li-Ming 31 2015 Structural and practical identifiability issues of immuno-epidemiological vector-host models with application to Rift Valley Fever. Zbl 1352.92173 Tuncer, Necibe; Gulbudak, Hayriye; Cannataro, Vincent L.; Martcheva, Maia 28 2016 Global stability for a heroin model with two distributed delays. Zbl 1281.92029 Fang, Bin; Li, Xue-Zhi; Martcheva, Maia; Cai, Liming 28 2014 Optimal control in coupled within-host and between-host models. Zbl 1294.49013 Numfor, E.; Bhattacharya, S.; Lenhart, S.; Martcheva, M. 26 2014 Analytical and numerical approaches to coexistence of strains in a two-strain SIS model with diffusion. Zbl 1447.92478 Tuncer, Necibe; Martcheva, Maia 26 2012 Linking immunological and epidemiological dynamics of HIV: the case of super-infection. Zbl 1447.92451 Martcheva, Maia; Li, Xue-Zhi 25 2013 Competitive exclusion in an infection-age structured model with environmental transmission. Zbl 1306.92047 Martcheva, Maia; Li, Xue-Zhi 24 2013 Modeling seasonality in avian influenza H5N1. Zbl 1342.92285 Tuncer, Necibe; Martcheva, Maia 24 2013 Global threshold dynamics of an SIVS model with waning vaccine-induced immunity and nonlinear incidence. Zbl 1343.92529 Yang, Junyuan; Martcheva, Maia; Wang, Lin 23 2015 Backward bifurcation, oscillations and chaos in an eco-epidemiological model with fear effect. Zbl 1447.92474 Sha, Amar; Samanta, Sudip; Martcheva, Maia; Chattopadhyay, Joydev 23 2019 Forward hysteresis and backward bifurcation caused by culling in an avian influenza model. Zbl 1281.92039 Gulbudak, Hayriye; Martcheva, Maia 22 2013 Epidemic models with age of infection, indirect transmission and incomplete treatment. Zbl 1277.92021 Cai, Liming; Martcheva, Maia; Li, Xue-Zhi 21 2013 Optimal control of a malaria model with asymptomatic class and superinfection. Zbl 1377.92082 Cai, Liming; Li, Xuezhi; Tuncer, Necibe; Martcheva, Maia; Lashari, Abid Ali 21 2017 How does within-host dynamics affect population-level dynamics? Insights from an immuno-epidemiological model of malaria. Zbl 1383.92078 Cai, Liming; Tuncer, Necibe; Martcheva, Maia 20 2017 Global stability for a heroin model with age-dependent susceptibility. Zbl 1332.93308 Fang, Bin; Li, Xuezhi; Martcheva, Maia; Cai, Liming 19 2015 An epidemic model structured by host immunity. Zbl 1105.92032 Martcheva, Maia; Pilyugin, Sergei S. 18 2006 Vector-borne pathogen and host evolution in a structured immuno-epidemiological system. Zbl 1366.92122 Gulbudak, Hayriye; Cannataro, Vincent L.; Tuncer, Necibe; Martcheva, Maia 16 2017 Avian flu: modeling and implications for control. Zbl 1343.92497 Martcheva, Maia 16 2014 The transmission of meningococcal infection: A mathematical study. Zbl 1032.92020 Martcheva, Maia; Crispino-O’Connell, Gloria 16 2003 Subthreshold coexistence of strains: the impact of vaccination and mutation. Zbl 1123.92017 Martcheva, Maia; Iannelli, Mimmo; Li, Xuezhi 16 2007 A structured avian influenza model with imperfect vaccination and vaccine-induced asymptomatic infection. Zbl 1330.92125 Gulbudak, Hayriye; Martcheva, Maia 15 2014 Competitive exclusion in a vector-host epidemic model with distributed delay. Zbl 1448.92280 Cai, Li-Ming; Martcheva, Maia; Li, Xue-Zhi 15 2013 Optimal vaccination and bednet maintenance for the control of malaria in a region with naturally acquired immunity. Zbl 1412.92295 Prosper, Olivia; Ruktanonchai, Nick; Martcheva, Maia 14 2014 Serotype replacement of vertically transmitted diseases through perfect vaccination. Zbl 1146.92023 Thomasey, Douglas H.; Martcheva, Maia 14 2008 The vector-host epidemic model with multiple strains in a patchy environment. Zbl 1306.92063 Qiu, Zhipeng; Kong, Qingkai; Li, Xuezhi; Martcheva, Maia 13 2013 Bistability and long-term cure in a within-host model of hepatitis C. Zbl 1382.92177 Debroy, Swati; Bolker, Benjamin M.; Martcheva, Maia 13 2011 A cost-based comparison of quarantine strategies for new emerging diseases. Zbl 1260.92069 Mubayi, Anuj; Zaleta, Christopher Kribs; Martcheva, Maia; Castillo-Chávez, Carlos 13 2010 Methods for deriving necessary and sufficient conditions for backward bifurcation. Zbl 1447.92449 Martcheva, Maia 13 2019 Qualitative analysis on a diffusive age-structured heroin transmission model. Zbl 1437.92118 Duan, Xi-Chao; Li, Xue-Zhi; Martcheva, Maia 13 2020 Global stability of a DS-DI epidemic model with age of infection. Zbl 1245.92057 Yang, Jun-Yuan; Li, Xue-Zhi; Martcheva, Maia 12 2012 Coexistence and competitive exclusion in an SIS model with standard incidence and diffusion. Zbl 1360.35307 Wu, Yixiang; Tuncer, Necibe; Martcheva, Maia 12 2017 Assessing the role of spatial heterogeneity and human movement in malaria dynamics and control. Zbl 1337.92215 Prosper, Olivia; Ruktanonchai, Nick; Martcheva, Maia 12 2012 Coupling within-host and between-host infectious diseases models. Zbl 1368.92188 Martcheva, Maia; Tuncer, Necibe; St. Mary, Colette M. 11 2015 Optimal control in multi-group coupled within-host and between-host models. Zbl 1342.49064 Numfor, Eric; Bhattacharya, Souvik; Martcheva, Maia; Lenhart, Suzanne 10 2016 Oscillations in a size-structured prey-predator model. Zbl 1200.92039 Bhattacharya, Souvik; Martcheva, Maia 10 2010 Mathematical models of influenza: the role of cross-immunity, quarantine and age-structure. Zbl 1206.92016 Nuño, M.; Castillo-Chavez, C.; Feng, Z.; Martcheva, M. 10 2008 A dynamic model to assess human papillomavirus vaccination strategies in a heterosexual population combined with men who have sex with men. Zbl 1460.92119 Gao, Shasha; Martcheva, Maia; Miao, Hongyu; Rong, Libin 9 2021 A Lyapunov-Schmidt method for detecting backward bifurcation in age-structured population models. Zbl 1447.92450 Martcheva, Maia; Inaba, Hisashi 9 2020 Subthreshold and superthreshold coexistence of pathogen variants: The impact of host age-structure. Zbl 1114.92059 Martcheva, Maia; Pilyugin, Sergei S.; Holt, Robert D. 9 2007 A predator-prey-disease model with immune response in infected prey. Zbl 1308.92080 Bhattacharya, Souvik; Martcheva, Maia; Li, Xue-Zhi 8 2014 A network immuno-epidemiological HIV model. Zbl 1460.92200 Gupta, Churni; Tuncer, Necibe; Martcheva, Maia 8 2021 The mathematics of sex and marriage, revisited. Zbl 0990.91052 Martcheva, Maia; Milner, Fabio A. 8 2001 Efficacy of control measures in the control of Ebola, Liberia 2014–2015. Zbl 1447.92479 Tuncer, Necibe; Mohanakumar, Chindu; Swanson, Samuel; Martcheva, Maia 8 2018 Asymptotic analysis of a vector-borne disease model with the age of infection. Zbl 1447.92486 Wang, Xia; Chen, Yuming; Martcheva, Maia; Rong, Libin 8 2020 Competitive exclusion in a multi-strain immuno-epidemiological influenza model with environmental transmission. Zbl 1448.92284 Dang, Yan-Xia; Li, Xue-Zhi; Martcheva, Maia 8 2016 Competitive exclusion in a multi-strain virus model with spatial diffusion and age of infection. Zbl 1381.92076 Duan, Xi-Chao; Yin, Jun-Feng; Li, Xue-Zhi; Martcheva, Maia 7 2018 A two-sex age-structured population model: well posedness. Zbl 0973.92031 Martcheva, Maia; Milner, Fabio A. 7 1999 An age-structured two-strain epidemic model with super-infection. Zbl 1184.92041 Li, Xue-Zhi; Liu, Ji-Xuan; Martcheva, Maia 7 2010 Effects of social-distancing on infectious disease dynamics: an evolutionary game theory and economic perspective. Zbl 1484.92124 Martcheva, Maia; Tuncer, Necibe; Ngonghala, Calistus N. 6 2021 A two-sex model of human papillomavirus infection: vaccination strategies and a case study. Zbl 1483.92092 Gao, Shasha; Martcheva, Maia; Miao, Hongyu; Rong, Libin 6 2022 Global dynamics of a vector-host epidemic model with age of infection. Zbl 1365.92119 Dang, Yan-Xia; Qiu, Zhi-Peng; Li, Xue-Zhi; Martcheva, Maia 6 2017 Dynamics and optimal control of an age-structured SIRVS epidemic model. Zbl 1452.92024 Duan, Xi-Chao; Jung, Il Hyo; Li, Xue-zhi; Martcheva, Maia 6 2020 Backward bifurcation and oscillations in a nested immuno-eco-epidemiological model. Zbl 1447.92396 Barfield, Michael; Martcheva, Maia; Tuncer, Necibe; Holt, Robert D. 6 2018 Evolutionary consequences of predation for pathogens in prey. Zbl 1163.92039 Martcheva, Maia 6 2009 Imitation dynamics of vaccine decision-making behaviours based on the game theory. Zbl 1448.92362 Yang, Junyuan; Martcheva, Maia; Chen, Yuming 6 2016 Delay in budget allocation for vaccination and awareness induces chaos in an infectious disease model. Zbl 1484.92060 Misra, Arvind Kumar; Rai, Rajanish Kumar; Tiwari, Pankaj Kumar; Martcheva, Maia 5 2021 A delay non-autonomous model for the combined effects of fear, prey refuge and additional food for predator. Zbl 1484.92081 Sk, Nazmul; Tiwari, Pankaj Kumar; Pal, Samares; Martcheva, Maia 5 2021 Role of bi-directional migration in two similar types of ecosystems. Zbl 1394.92110 Pal, Nikhil; Samanta, Sudip; Martcheva, Maia; Chattopadhyay, Joydev 5 2018 A metapopulation model with discrete size structure. Zbl 1128.92050 Martcheva, Maia; Thieme, Horst R. 5 2005 Modeling and research on an immuno-epidemiological coupled system with coinfection. Zbl 1480.92206 Li, Xue-Zhi; Gao, Shasha; Fu, Yi-Ke; Martcheva, Maia 5 2021 Parameter identifiability and optimal control of an SARS-CoV-2 model early in the pandemic. Zbl 1494.92151 Tuncer, Necibe; Timsina, Archana; Nuno, Miriam; Chowell, Gerardo; Martcheva, Maia 4 2022 Using an age-structured COVID-19 epidemic model and data to model virulence evolution in Wuhan, China. Zbl 1484.92106 Duan, Xi-Chao; Li, Xue-Zhi; Martcheva, Maia; Yuan, Sanling 4 2022 Homogeneous dynamical systems and the age-structured SIR model with proportionate mixing incidence. Zbl 1132.92339 Iannelli, Mimmo; Martcheva, Maia 4 2003 Coinfection dynamics of heroin transmission and HIV infection in a single population. Zbl 1447.92415 Duan, Xi-Chao; Li, Xue-Zhi; Martcheva, Maia 4 2020 Dynamics of low and high pathogenic avian influenza in wild and domestic bird populations. Zbl 1448.92346 Tuncer, Necibe; Torres, Juan; Martcheva, Maia; Barfield, Michael; Holt, Robert D. 4 2016 Impact of enhanced malaria control on the competition between Plasmodium falciparum and Plasmodium vivax in India. Zbl 1316.92090 Prosper, Olivia; Martcheva, Maia 4 2013 A multi-strain model with asymptomatic transmission: application to COVID-19 in the US. Zbl 1518.92142 Gao, Shasha; Shen, Mingwang; Wang, Xueying; Wang, Jin; Martcheva, Maia; Rong, Libin 4 2023 Modeling the control of bacterial disease by social media advertisements: effects of awareness and sanitation. Zbl 1486.92090 Tiwari, Pankaj Kumar; Rai, Rajanish Kumar; Gupta, Rabindra Kumar; Martcheva, Maia; Misra, Arvind Kumar 3 2022 Competition between low and high pathogenicity avian influenza in a two-patch system. Zbl 1377.92100 Saucedo, Omar; Martcheva, M. 3 2017 On the principle of host evolution in host-pathogen interactions. Zbl 1447.92452 Martcheva, Maia; Tuncer, Necibe; Kim, Yena 3 2017 A mathematical study to control Guinea worm disease: a case study on Chad. Zbl 1447.92424 Ghosh, Indrajit; Tiwari, Pankaj Kumar; Mandal, Sandip; Martcheva, Maia; Chattopadhyay, Joydev 3 2018 India’s approach to eliminating Plasmodium falciparum malaria: a modeling perspective. Zbl 1404.92195 Martcheva, Maia; Hoppensteadt, Frank 3 2010 An evolutionary model of influenza a with drift and shift. Zbl 1447.92289 Martcheva, Maia 3 2012 An immuno-eco-epidemiological model of competition. Zbl 1448.92277 Bhattacharya, Souvik; Martcheva, Maia 3 2016 Dynamics of an age-structured heroin transmission model with vaccination and treatment. Zbl 1497.92152 Duan, Xi-Chao; Li, Xue-Zhi; Martcheva, Maia 3 2019 Determining reliable parameter estimates for within-host and within-vector models of Zika virus. Zbl 1484.92135 Tuncer, Necibe; Martcheva, Maia 2 2021 A novel multi-scale immuno-epidemiological model of visceral leishmaniasis in dogs. Zbl 1425.92199 Welker, Jonathan Shane; Martcheva, Maia 2 2019 Immune level approach for multiple strain pathogens. Zbl 1342.92268 Nuño, M.; Martcheva, M.; Castillo-Chavez, C. 2 2009 Modeling syphilis and HIV coinfection: a case study in the USA. Zbl 1508.92301 Wang, Cheng-Long; Gao, Shasha; Li, Xue-Zhi; Martcheva, Maia 2 2023 Multi-strain persistence induced by host age structure. Zbl 1236.92049 Qiu, Zhipeng; Li, Xuezhi; Martcheva, Maia 2 2012 Kolmogorov’s differential equations and positive semigroups on first moment sequence spaces. Zbl 1113.92069 Martcheva, Maia; Thieme, Horst R.; Dhirasakdanon, Thanate 2 2006 Computational and mathematical population dynamics. Zbl 07707198 2 2023 The impact of vaccination on human papillomavirus infection with disassortative geographical mixing: a two-patch modeling study. Zbl 1502.37093 Gao, Shasha; Martcheva, Maia; Miao, Hongyu; Rong, Libin 1 2022 A tuberculosis (TB) model with undetected compartment: an application to China. Zbl 1228.92051 Li, Xue-Zhi; Bhattacharya, Souvik; Yang, Jun-Yuan; Martcheva, Maia 1 2011 Immuno-epidemiological co-affection model of HIV infection and opioid addiction. Zbl 1489.92154 Gupta, Churni; Tuncer, Necibe; Martcheva, Maia 1 2022 Nonlinear mating models for populations with discrete generations. Zbl 1024.92018 Castillo-Chavez, Carlos; Yakubu, Abdul-Aziz; Thieme, Horst; Martcheva, Maia 1 2002 Modeling and control of malaria when mosquitoes are used as vaccinators. Zbl 1409.92243 Li, Xue-Zhi; Gao, Sha-Sha; Martcheva, Maia 1 2015 A multi-strain model with asymptomatic transmission: application to COVID-19 in the US. Zbl 1518.92142 Gao, Shasha; Shen, Mingwang; Wang, Xueying; Wang, Jin; Martcheva, Maia; Rong, Libin 4 2023 Modeling syphilis and HIV coinfection: a case study in the USA. Zbl 1508.92301 Wang, Cheng-Long; Gao, Shasha; Li, Xue-Zhi; Martcheva, Maia 2 2023 Computational and mathematical population dynamics. Zbl 07707198 2 2023 A mathematical model for the impact of disinfectants on the control of bacterial diseases. Zbl 1519.92120 Gupta, Rabindra Kumar; Rai, Rajanish Kumar; Tiwari, Pankaj Kumar; Misra, Arvind Kumar; Martcheva, Maia 1 2023 A two-sex model of human papillomavirus infection: vaccination strategies and a case study. Zbl 1483.92092 Gao, Shasha; Martcheva, Maia; Miao, Hongyu; Rong, Libin 6 2022 Parameter identifiability and optimal control of an SARS-CoV-2 model early in the pandemic. Zbl 1494.92151 Tuncer, Necibe; Timsina, Archana; Nuno, Miriam; Chowell, Gerardo; Martcheva, Maia 4 2022 Using an age-structured COVID-19 epidemic model and data to model virulence evolution in Wuhan, China. Zbl 1484.92106 Duan, Xi-Chao; Li, Xue-Zhi; Martcheva, Maia; Yuan, Sanling 4 2022 Modeling the control of bacterial disease by social media advertisements: effects of awareness and sanitation. Zbl 1486.92090 Tiwari, Pankaj Kumar; Rai, Rajanish Kumar; Gupta, Rabindra Kumar; Martcheva, Maia; Misra, Arvind Kumar 3 2022 The impact of vaccination on human papillomavirus infection with disassortative geographical mixing: a two-patch modeling study. Zbl 1502.37093 Gao, Shasha; Martcheva, Maia; Miao, Hongyu; Rong, Libin 1 2022 Immuno-epidemiological co-affection model of HIV infection and opioid addiction. Zbl 1489.92154 Gupta, Churni; Tuncer, Necibe; Martcheva, Maia 1 2022 Deciphering the transmission dynamics of COVID-19 in India: optimal control and cost effective analysis. Zbl 1504.92112 Bajiya, Vijay Pal; Bugalia, Sarita; Tripathi, Jai Prakash; Martcheva, Maia 1 2022 A dynamic model to assess human papillomavirus vaccination strategies in a heterosexual population combined with men who have sex with men. Zbl 1460.92119 Gao, Shasha; Martcheva, Maia; Miao, Hongyu; Rong, Libin 9 2021 A network immuno-epidemiological HIV model. Zbl 1460.92200 Gupta, Churni; Tuncer, Necibe; Martcheva, Maia 8 2021 Effects of social-distancing on infectious disease dynamics: an evolutionary game theory and economic perspective. Zbl 1484.92124 Martcheva, Maia; Tuncer, Necibe; Ngonghala, Calistus N. 6 2021 Delay in budget allocation for vaccination and awareness induces chaos in an infectious disease model. Zbl 1484.92060 Misra, Arvind Kumar; Rai, Rajanish Kumar; Tiwari, Pankaj Kumar; Martcheva, Maia 5 2021 A delay non-autonomous model for the combined effects of fear, prey refuge and additional food for predator. Zbl 1484.92081 Sk, Nazmul; Tiwari, Pankaj Kumar; Pal, Samares; Martcheva, Maia 5 2021 Modeling and research on an immuno-epidemiological coupled system with coinfection. Zbl 1480.92206 Li, Xue-Zhi; Gao, Shasha; Fu, Yi-Ke; Martcheva, Maia 5 2021 Determining reliable parameter estimates for within-host and within-vector models of Zika virus. Zbl 1484.92135 Tuncer, Necibe; Martcheva, Maia 2 2021 Dynamics of an age structured heroin transmission model with imperfect vaccination. Zbl 1471.92200 Duan, Xi-Chao; Cheng, Huanhuan; Martcheva, Maia; Yuan, Sanling 1 2021 Age structured epidemic modeling. Zbl 1435.92002 Li, Xue-Zhi; Yang, Junyuan; Martcheva, Maia 38 2020 Qualitative analysis on a diffusive age-structured heroin transmission model. Zbl 1437.92118 Duan, Xi-Chao; Li, Xue-Zhi; Martcheva, Maia 13 2020 A Lyapunov-Schmidt method for detecting backward bifurcation in age-structured population models. Zbl 1447.92450 Martcheva, Maia; Inaba, Hisashi 9 2020 Asymptotic analysis of a vector-borne disease model with the age of infection. Zbl 1447.92486 Wang, Xia; Chen, Yuming; Martcheva, Maia; Rong, Libin 8 2020 Dynamics and optimal control of an age-structured SIRVS epidemic model. Zbl 1452.92024 Duan, Xi-Chao; Jung, Il Hyo; Li, Xue-zhi; Martcheva, Maia 6 2020 Coinfection dynamics of heroin transmission and HIV infection in a single population. Zbl 1447.92415 Duan, Xi-Chao; Li, Xue-Zhi; Martcheva, Maia 4 2020 Analysis and simulations with a multi-scale model of canine visceral leishmaniasis. Zbl 1467.92233 Welker, Jonathan Shane; Martcheva, Maia 1 2020 Backward bifurcation, oscillations and chaos in an eco-epidemiological model with fear effect. Zbl 1447.92474 Sha, Amar; Samanta, Sudip; Martcheva, Maia; Chattopadhyay, Joydev 23 2019 Methods for deriving necessary and sufficient conditions for backward bifurcation. Zbl 1447.92449 Martcheva, Maia 13 2019 Dynamics of an age-structured heroin transmission model with vaccination and treatment. Zbl 1497.92152 Duan, Xi-Chao; Li, Xue-Zhi; Martcheva, Maia 3 2019 A novel multi-scale immuno-epidemiological model of visceral leishmaniasis in dogs. Zbl 1425.92199 Welker, Jonathan Shane; Martcheva, Maia 2 2019 Efficacy of control measures in the control of Ebola, Liberia 2014–2015. Zbl 1447.92479 Tuncer, Necibe; Mohanakumar, Chindu; Swanson, Samuel; Martcheva, Maia 8 2018 Competitive exclusion in a multi-strain virus model with spatial diffusion and age of infection. Zbl 1381.92076 Duan, Xi-Chao; Yin, Jun-Feng; Li, Xue-Zhi; Martcheva, Maia 7 2018 Backward bifurcation and oscillations in a nested immuno-eco-epidemiological model. Zbl 1447.92396 Barfield, Michael; Martcheva, Maia; Tuncer, Necibe; Holt, Robert D. 6 2018 Role of bi-directional migration in two similar types of ecosystems. Zbl 1394.92110 Pal, Nikhil; Samanta, Sudip; Martcheva, Maia; Chattopadhyay, Joydev 5 2018 A mathematical study to control Guinea worm disease: a case study on Chad. Zbl 1447.92424 Ghosh, Indrajit; Tiwari, Pankaj Kumar; Mandal, Sandip; Martcheva, Maia; Chattopadhyay, Joydev 3 2018 Optimal control of a malaria model with asymptomatic class and superinfection. Zbl 1377.92082 Cai, Liming; Li, Xuezhi; Tuncer, Necibe; Martcheva, Maia; Lashari, Abid Ali 21 2017 How does within-host dynamics affect population-level dynamics? Insights from an immuno-epidemiological model of malaria. Zbl 1383.92078 Cai, Liming; Tuncer, Necibe; Martcheva, Maia 20 2017 Vector-borne pathogen and host evolution in a structured immuno-epidemiological system. Zbl 1366.92122 Gulbudak, Hayriye; Cannataro, Vincent L.; Tuncer, Necibe; Martcheva, Maia 16 2017 Coexistence and competitive exclusion in an SIS model with standard incidence and diffusion. Zbl 1360.35307 Wu, Yixiang; Tuncer, Necibe; Martcheva, Maia 12 2017 Global dynamics of a vector-host epidemic model with age of infection. Zbl 1365.92119 Dang, Yan-Xia; Qiu, Zhi-Peng; Li, Xue-Zhi; Martcheva, Maia 6 2017 Competition between low and high pathogenicity avian influenza in a two-patch system. Zbl 1377.92100 Saucedo, Omar; Martcheva, M. 3 2017 On the principle of host evolution in host-pathogen interactions. Zbl 1447.92452 Martcheva, Maia; Tuncer, Necibe; Kim, Yena 3 2017 Structural and practical identifiability issues of immuno-epidemiological vector-host models with application to Rift Valley Fever. Zbl 1352.92173 Tuncer, Necibe; Gulbudak, Hayriye; Cannataro, Vincent L.; Martcheva, Maia 28 2016 Optimal control in multi-group coupled within-host and between-host models. Zbl 1342.49064 Numfor, Eric; Bhattacharya, Souvik; Martcheva, Maia; Lenhart, Suzanne 10 2016 Competitive exclusion in a multi-strain immuno-epidemiological influenza model with environmental transmission. Zbl 1448.92284 Dang, Yan-Xia; Li, Xue-Zhi; Martcheva, Maia 8 2016 Imitation dynamics of vaccine decision-making behaviours based on the game theory. Zbl 1448.92362 Yang, Junyuan; Martcheva, Maia; Chen, Yuming 6 2016 Dynamics of low and high pathogenic avian influenza in wild and domestic bird populations. Zbl 1448.92346 Tuncer, Necibe; Torres, Juan; Martcheva, Maia; Barfield, Michael; Holt, Robert D. 4 2016 An immuno-eco-epidemiological model of competition. Zbl 1448.92277 Bhattacharya, Souvik; Martcheva, Maia 3 2016 An introduction to mathematical epidemiology. Zbl 1333.92006 Martcheva, Maia 431 2015 Global asymptotic properties of a heroin epidemic model with treat-age. Zbl 1410.92119 Fang, Bin; Li, Xue-Zhi; Martcheva, Maia; Cai, Li-Ming 31 2015 Global threshold dynamics of an SIVS model with waning vaccine-induced immunity and nonlinear incidence. Zbl 1343.92529 Yang, Junyuan; Martcheva, Maia; Wang, Lin 23 2015 Global stability for a heroin model with age-dependent susceptibility. Zbl 1332.93308 Fang, Bin; Li, Xuezhi; Martcheva, Maia; Cai, Liming 19 2015 Coupling within-host and between-host infectious diseases models. Zbl 1368.92188 Martcheva, Maia; Tuncer, Necibe; St. Mary, Colette M. 11 2015 Modeling and control of malaria when mosquitoes are used as vaccinators. Zbl 1409.92243 Li, Xue-Zhi; Gao, Sha-Sha; Martcheva, Maia 1 2015 Global stability for a heroin model with two distributed delays. Zbl 1281.92029 Fang, Bin; Li, Xue-Zhi; Martcheva, Maia; Cai, Liming 28 2014 Optimal control in coupled within-host and between-host models. Zbl 1294.49013 Numfor, E.; Bhattacharya, S.; Lenhart, S.; Martcheva, M. 26 2014 Avian flu: modeling and implications for control. Zbl 1343.92497 Martcheva, Maia 16 2014 A structured avian influenza model with imperfect vaccination and vaccine-induced asymptomatic infection. Zbl 1330.92125 Gulbudak, Hayriye; Martcheva, Maia 15 2014 Optimal vaccination and bednet maintenance for the control of malaria in a region with naturally acquired immunity. Zbl 1412.92295 Prosper, Olivia; Ruktanonchai, Nick; Martcheva, Maia 14 2014 A predator-prey-disease model with immune response in infected prey. Zbl 1308.92080 Bhattacharya, Souvik; Martcheva, Maia; Li, Xue-Zhi 8 2014 Linking immunological and epidemiological dynamics of HIV: the case of super-infection. Zbl 1447.92451 Martcheva, Maia; Li, Xue-Zhi 25 2013 Competitive exclusion in an infection-age structured model with environmental transmission. Zbl 1306.92047 Martcheva, Maia; Li, Xue-Zhi 24 2013 Modeling seasonality in avian influenza H5N1. Zbl 1342.92285 Tuncer, Necibe; Martcheva, Maia 24 2013 Forward hysteresis and backward bifurcation caused by culling in an avian influenza model. Zbl 1281.92039 Gulbudak, Hayriye; Martcheva, Maia 22 2013 Epidemic models with age of infection, indirect transmission and incomplete treatment. Zbl 1277.92021 Cai, Liming; Martcheva, Maia; Li, Xue-Zhi 21 2013 Competitive exclusion in a vector-host epidemic model with distributed delay. Zbl 1448.92280 Cai, Li-Ming; Martcheva, Maia; Li, Xue-Zhi 15 2013 The vector-host epidemic model with multiple strains in a patchy environment. Zbl 1306.92063 Qiu, Zhipeng; Kong, Qingkai; Li, Xuezhi; Martcheva, Maia 13 2013 Impact of enhanced malaria control on the competition between Plasmodium falciparum and Plasmodium vivax in India. Zbl 1316.92090 Prosper, Olivia; Martcheva, Maia 4 2013 Analytical and numerical approaches to coexistence of strains in a two-strain SIS model with diffusion. Zbl 1447.92478 Tuncer, Necibe; Martcheva, Maia 26 2012 Global stability of a DS-DI epidemic model with age of infection. Zbl 1245.92057 Yang, Jun-Yuan; Li, Xue-Zhi; Martcheva, Maia 12 2012 Assessing the role of spatial heterogeneity and human movement in malaria dynamics and control. Zbl 1337.92215 Prosper, Olivia; Ruktanonchai, Nick; Martcheva, Maia 12 2012 An evolutionary model of influenza a with drift and shift. Zbl 1447.92289 Martcheva, Maia 3 2012 Multi-strain persistence induced by host age structure. Zbl 1236.92049 Qiu, Zhipeng; Li, Xuezhi; Martcheva, Maia 2 2012 Bistability and long-term cure in a within-host model of hepatitis C. Zbl 1382.92177 Debroy, Swati; Bolker, Benjamin M.; Martcheva, Maia 13 2011 A tuberculosis (TB) model with undetected compartment: an application to China. Zbl 1228.92051 Li, Xue-Zhi; Bhattacharya, Souvik; Yang, Jun-Yuan; Martcheva, Maia 1 2011 A cost-based comparison of quarantine strategies for new emerging diseases. Zbl 1260.92069 Mubayi, Anuj; Zaleta, Christopher Kribs; Martcheva, Maia; Castillo-Chávez, Carlos 13 2010 Oscillations in a size-structured prey-predator model. Zbl 1200.92039 Bhattacharya, Souvik; Martcheva, Maia 10 2010 An age-structured two-strain epidemic model with super-infection. Zbl 1184.92041 Li, Xue-Zhi; Liu, Ji-Xuan; Martcheva, Maia 7 2010 India’s approach to eliminating Plasmodium falciparum malaria: a modeling perspective. Zbl 1404.92195 Martcheva, Maia; Hoppensteadt, Frank 3 2010 A non-autonomous multi-strain SIS epidemic model. Zbl 1342.92258 Martcheva, Maia 33 2009 Evolutionary consequences of predation for pathogens in prey. Zbl 1163.92039 Martcheva, Maia 6 2009 Immune level approach for multiple strain pathogens. Zbl 1342.92268 Nuño, M.; Martcheva, M.; Castillo-Chavez, C. 2 2009 An epidemic model of a vector-borne disease with direct transmission and time delay. Zbl 1146.34059 Wei, Hui-Ming; Li, Xue-Zhi; Martcheva, Maia 78 2008 Serotype replacement of vertically transmitted diseases through perfect vaccination. Zbl 1146.92023 Thomasey, Douglas H.; Martcheva, Maia 14 2008 Mathematical models of influenza: the role of cross-immunity, quarantine and age-structure. Zbl 1206.92016 Nuño, M.; Castillo-Chavez, C.; Feng, Z.; Martcheva, M. 10 2008 Subthreshold coexistence of strains: the impact of vaccination and mutation. Zbl 1123.92017 Martcheva, Maia; Iannelli, Mimmo; Li, Xuezhi 16 2007 Subthreshold and superthreshold coexistence of pathogen variants: The impact of host age-structure. Zbl 1114.92059 Martcheva, Maia; Pilyugin, Sergei S.; Holt, Robert D. 9 2007 An age-structured epidemic model of rotavirus with vaccination. Zbl 1113.92045 Shim, E.; Feng, Z.; Martcheva, M.; Castillo-Chavez, C. 41 2006 The role of coinfection in multidisease dynamics. Zbl 1096.92037 Martcheva, Maia; Pilyugin, Sergei S. 39 2006 An epidemic model structured by host immunity. Zbl 1105.92032 Martcheva, Maia; Pilyugin, Sergei S. 18 2006 Kolmogorov’s differential equations and positive semigroups on first moment sequence spaces. Zbl 1113.92069 Martcheva, Maia; Thieme, Horst R.; Dhirasakdanon, Thanate 2 2006 Dynamics of two-strain influenza with isolation and partial cross-immunity. Zbl 1075.92041 Nuño, M.; Feng, Z.; Martcheva, M.; Castillo-Chavez, C. 58 2005 Gender-structured population modeling. Mathematical methods, numerics, and simulations. Zbl 1107.91076 Iannelli, M.; Martcheva, M.; Milner, F. A. 55 2005 Strain replacement in an epidemic model with super-infection and perfect vaccination. Zbl 1065.92043 Iannelli, Mimmo; Martcheva, Maia; Li, Xue-Zhi 51 2005 A metapopulation model with discrete size structure. Zbl 1128.92050 Martcheva, Maia; Thieme, Horst R. 5 2005 Progression age enhanced backward bifurcation in an epidemic model with super-infection. Zbl 1097.92046 Martcheva, Maia; Thieme, Horst R. 96 2003 Diseases with chronic stage in a population with varying size. Zbl 1012.92024 Martcheva, Maia; Castillo-Chavez, Carlos 35 2003 The transmission of meningococcal infection: A mathematical study. Zbl 1032.92020 Martcheva, Maia; Crispino-O’Connell, Gloria 16 2003 Homogeneous dynamical systems and the age-structured SIR model with proportionate mixing incidence. Zbl 1132.92339 Iannelli, Mimmo; Martcheva, Maia 4 2003 Vaccination strategies and backward bifurcation in an age-since-infection structured model. Zbl 0998.92033 Kribs-Zaleta, Christopher M.; Martcheva, Maia 52 2002 ...and 4 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,310 Authors 66 Martcheva, Maia 43 Li, Xuezhi 40 Yang, Junyuan 26 Jin, Zhen 21 Tuncer, Necibe 20 Jiang, Daqing 19 Cai, Liming 17 Thieme, Horst R. 16 Kuniya, Toshikazu 16 Wang, Jin 15 Chattopadhyay, Joydev 15 Duan, Xichao 14 Chen, Yuming 14 Xu, Rui 13 Rong, Libin 13 Teng, Zhi-dong 13 Tiwari, Pankaj Kumar 12 Gulbudak, Hayriye 12 Samanta, Sudip 12 Xiao, Yanni 12 Yan, Dongxue 11 Cao, Hui 11 Hayat, Tasawar 11 Hoang, Manh Tuan 11 Ruan, Shigui 11 Zhang, Fengqin 10 Buonomo, Bruno 10 Qiu, Zhipeng 10 Salako, Rachidi Bolaji 10 Wang, Lianwen 10 Wang, Xiaoyan 10 Wu, YiXiang 10 Xu, Fei 10 Zhou, Yicang 9 Akimenko, Vitalii V. 9 Chekroun, Abdennasser 9 He, Zerong 9 Inaba, Hisashi 9 Kar, Tapan Kumar 9 Liu, Qun 9 Liu, Zhijun 9 Nie, Linfei 9 Pei, Yongzhen 9 Touaoula, Tarik Mohamed 9 Wang, Jinliang 9 Xu, Jinhu 9 Yuan, Sanling 8 Ghosh, Mini 8 Ghosh, Uttam 8 Huo, Hai-Feng 8 Lenhart, Suzanne M. 8 Liu, Helong 8 Lou, Jie 8 Pal, Nikhil Ranjan 8 Tian, Xiaohong 8 Tripathi, Jai Prakash 8 Wu, Jianhong 7 Al-saedi, Ahmed Eid Salem 7 Banerjee, Malay 7 Gao, Shasha 7 Ghosh, Jayanta Kumar 7 Goreac, Dan 7 Liu, Lili 7 Liu, Xianning 7 Maxin, Daniel 7 Milner, Fabio Augusto 7 Misra, Arvind Kumar 7 Pugliese, Andrea 7 Shen, Mingwang 7 Song, Xinyu 7 Wang, Wendi 7 Xiang, Hong 7 Yang, Yu 7 Zaman, Gul 7 Zhang, Suxia 7 Zou, Xingfu 6 Bowong, Samuel 6 Bugalia, Sarita 6 Chang, Lili 6 Chowell, Gerardo 6 Cui, Jingan 6 Djilali, Salih 6 d’Onofrio, Alberto 6 Feng, Zhilan 6 Freddi, Lorenzo 6 Hritonenko, Natali 6 Jana, Soovoojeet 6 Lashari, Abid Ali 6 Li, Jianquan 6 Liu, Rong 6 Memarbashi, Reza 6 Saldaña, Fernando 6 Sun, Guiquan 6 Volpert, Vitaly A. 6 Wang, Hao 6 Wang, Shaoli 6 Wang, Xia 6 Wu, Peng 6 Yatsenko, Yuri 6 Yu, Jingyuan ...and 2,210 more Authors all top 5 Cited in 206 Serials 74 Journal of Mathematical Biology 71 Mathematical Biosciences and Engineering 57 Bulletin of Mathematical Biology 56 Mathematical Methods in the Applied Sciences 54 Mathematical Biosciences 54 Journal of Biological Dynamics 53 International Journal of Biomathematics 52 Journal of Theoretical Biology 49 Applied Mathematics and Computation 38 Discrete and Continuous Dynamical Systems. 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Hybrid Systems 2 Journal of Applied Mathematics & Informatics 2 Dynamic Games and Applications ...and 106 more Serials all top 5 Cited in 35 Fields 1,329 Biology and other natural sciences (92-XX) 593 Ordinary differential equations (34-XX) 289 Partial differential equations (35-XX) 168 Dynamical systems and ergodic theory (37-XX) 131 Calculus of variations and optimal control; optimization (49-XX) 87 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 84 Probability theory and stochastic processes (60-XX) 82 Numerical analysis (65-XX) 67 Systems theory; control (93-XX) 29 Integral equations (45-XX) 24 Difference and functional equations (39-XX) 22 Operator theory (47-XX) 15 Statistics (62-XX) 13 Combinatorics (05-XX) 13 Operations research, mathematical programming (90-XX) 12 Statistical mechanics, structure of matter (82-XX) 9 Computer science (68-XX) 8 Real functions (26-XX) 4 Field theory and polynomials (12-XX) 4 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 2 General and overarching topics; collections (00-XX) 2 Commutative algebra (13-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Functional analysis (46-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year