Edit Profile (opens in new tab) Martcheva, Maia Co-Author Distance Author ID: martcheva.maia Published as: Martcheva, Maia; Martcheva, M. Documents Indexed: 111 Publications since 1997, including 3 Books 3 Contributions as Editor Co-Authors: 92 Co-Authors with 108 Joint Publications 2,271 Co-Co-Authors all top 5 Co-Authors 6 single-authored 29 Li, Xuezhi 19 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 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 Numfor, Eric 2 Ruktanonchai, Nick W. 2 Samanta, Sudip 2 Saucedo, Omar 2 Welker, Jonathan Shane 1 Annor, Abena 1 Bajiya, Vijay Pal 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 Hoppensteadt, Frank C. 1 Inaba, Hisashi 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 Ngonghala, Calistus N. 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 26 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 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 all top 5 Fields 112 Biology and other natural sciences (92-XX) 37 Ordinary differential equations (34-XX) 26 Partial differential equations (35-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 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) 6 Operator theory (47-XX) 6 Systems theory; control (93-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 96 Publications have been cited 1,480 times in 1,100 Documents Cited by ▼ Year ▼ An introduction to mathematical epidemiology. Zbl 1333.92006Martcheva, Maia 275 2015 Progression age enhanced backward bifurcation in an epidemic model with super-infection. Zbl 1097.92046Martcheva, Maia; Thieme, Horst R. 84 2003 An epidemic model of a vector-borne disease with direct transmission and time delay. Zbl 1146.34059Wei, Hui-Ming; Li, Xue-Zhi; Martcheva, Maia 72 2008 Dynamics of two-strain influenza with isolation and partial cross-immunity. Zbl 1075.92041Nuño, M.; Feng, Z.; Martcheva, M.; Castillo-Chavez, C. 50 2005 Vaccination strategies and backward bifurcation in an age-since-infection structured model. Zbl 0998.92033Kribs-Zaleta, Christopher M.; Martcheva, Maia 50 2002 On the controllability of the Lotka-McKendrick model of population dynamics. Zbl 0961.92024Barbu, Viorel; Iannelli, Mimmo; Martcheva, Maia 47 2001 Gender-structured population modeling. Mathematical methods, numerics, and simulations. Zbl 1107.91076Iannelli, M.; Martcheva, M.; Milner, F. A. 46 2005 Strain replacement in an epidemic model with super-infection and perfect vaccination. Zbl 1065.92043Iannelli, Mimmo; Martcheva, Maia; Li, Xue-Zhi 44 2005 The role of coinfection in multidisease dynamics. Zbl 1096.92037Martcheva, Maia; Pilyugin, Sergei S. 34 2006 An age-structured epidemic model of rotavirus with vaccination. Zbl 1113.92045Shim, E.; Feng, Z.; Martcheva, M.; Castillo-Chavez, C. 32 2006 Diseases with chronic stage in a population with varying size. Zbl 1012.92024Martcheva, Maia; Castillo-Chavez, Carlos 31 2003 Global asymptotic properties of a heroin epidemic model with treat-age. Zbl 1410.92119Fang, Bin; Li, Xue-Zhi; Martcheva, Maia; Cai, Li-Ming 26 2015 A non-autonomous multi-strain SIS epidemic model. Zbl 1342.92258Martcheva, Maia 25 2009 Global stability for a heroin model with two distributed delays. Zbl 1281.92029Fang, Bin; Li, Xue-Zhi; Martcheva, Maia; Cai, Liming 25 2014 Modeling seasonality in avian influenza H5N1. Zbl 1342.92285Tuncer, Necibe; Martcheva, Maia 21 2013 Global threshold dynamics of an SIVS model with waning vaccine-induced immunity and nonlinear incidence. Zbl 1343.92529Yang, Junyuan; Martcheva, Maia; Wang, Lin 20 2015 Analytical and numerical approaches to coexistence of strains in a two-strain SIS model with diffusion. Zbl 1447.92478Tuncer, Necibe; Martcheva, Maia 20 2012 Optimal control in coupled within-host and between-host models. Zbl 1294.49013Numfor, E.; Bhattacharya, S.; Lenhart, S.; Martcheva, M. 20 2014 Epidemic models with age of infection, indirect transmission and incomplete treatment. Zbl 1277.92021Cai, Liming; Martcheva, Maia; Li, Xue-Zhi 19 2013 Competitive exclusion in an infection-age structured model with environmental transmission. Zbl 1306.92047Martcheva, Maia; Li, Xue-Zhi 19 2013 Structural and practical identifiability issues of immuno-epidemiological vector-host models with application to Rift Valley Fever. Zbl 1352.92173Tuncer, Necibe; Gulbudak, Hayriye; Cannataro, Vincent L.; Martcheva, Maia 18 2016 Optimal control of a malaria model with asymptomatic class and superinfection. Zbl 1377.92082Cai, Liming; Li, Xuezhi; Tuncer, Necibe; Martcheva, Maia; Lashari, Abid Ali 18 2017 How does within-host dynamics affect population-level dynamics? Insights from an immuno-epidemiological model of malaria. Zbl 1383.92078Cai, Liming; Tuncer, Necibe; Martcheva, Maia 17 2017 Forward hysteresis and backward bifurcation caused by culling in an avian influenza model. Zbl 1281.92039Gulbudak, Hayriye; Martcheva, Maia 17 2013 Backward bifurcation, oscillations and chaos in an eco-epidemiological model with fear effect. Zbl 1447.92474Sha, Amar; Samanta, Sudip; Martcheva, Maia; Chattopadhyay, Joydev 16 2019 An epidemic model structured by host immunity. Zbl 1105.92032Martcheva, Maia; Pilyugin, Sergei S. 16 2006 Age structured epidemic modeling. Zbl 1435.92002Li, Xue-Zhi; Yang, Junyuan; Martcheva, Maia 16 2020 Global stability for a heroin model with age-dependent susceptibility. Zbl 1332.93308Fang, Bin; Li, Xuezhi; Martcheva, Maia; Cai, Liming 15 2015 Subthreshold coexistence of strains: the impact of vaccination and mutation. Zbl 1123.92017Martcheva, Maia; Iannelli, Mimmo; Li, Xuezhi 15 2007 A structured avian influenza model with imperfect vaccination and vaccine-induced asymptomatic infection. Zbl 1330.92125Gulbudak, Hayriye; Martcheva, Maia 13 2014 Serotype replacement of vertically transmitted diseases through perfect vaccination. Zbl 1146.92023Thomasey, Douglas H.; Martcheva, Maia 13 2008 Avian flu: modeling and implications for control. Zbl 1343.92497Martcheva, Maia 13 2014 The vector-host epidemic model with multiple strains in a patchy environment. Zbl 1306.92063Qiu, Zhipeng; Kong, Qingkai; Li, Xuezhi; Martcheva, Maia 12 2013 A cost-based comparison of quarantine strategies for new emerging diseases. Zbl 1260.92069Mubayi, Anuj; Zaleta, Christopher Kribs; Martcheva, Maia; Castillo-Chávez, Carlos 12 2010 Linking immunological and epidemiological dynamics of HIV: the case of super-infection. Zbl 1447.92451Martcheva, Maia; Li, Xue-Zhi 12 2013 Global stability of a DS-DI epidemic model with age of infection. Zbl 1245.92057Yang, Jun-Yuan; Li, Xue-Zhi; Martcheva, Maia 12 2012 Assessing the role of spatial heterogeneity and human movement in malaria dynamics and control. Zbl 1337.92215Prosper, Olivia; Ruktanonchai, Nick; Martcheva, Maia 11 2012 Competitive exclusion in a vector-host epidemic model with distributed delay. Zbl 1448.92280Cai, Li-Ming; Martcheva, Maia; Li, Xue-Zhi 11 2013 Optimal vaccination and bednet maintenance for the control of malaria in a region with naturally acquired immunity. Zbl 1412.92295Prosper, Olivia; Ruktanonchai, Nick; Martcheva, Maia 11 2014 Vector-borne pathogen and host evolution in a structured immuno-epidemiological system. Zbl 1366.92122Gulbudak, Hayriye; Cannataro, Vincent L.; Tuncer, Necibe; Martcheva, Maia 11 2017 The transmission of meningococcal infection: A mathematical study. Zbl 1032.92020Martcheva, Maia; Crispino-O’Connell, Gloria 11 2003 Oscillations in a size-structured prey-predator model. Zbl 1200.92039Bhattacharya, Souvik; Martcheva, Maia 10 2010 Bistability and long-term cure in a within-host model of hepatitis C. Zbl 1382.92177Debroy, Swati; Bolker, Benjamin M.; Martcheva, Maia 10 2011 Subthreshold and superthreshold coexistence of pathogen variants: The impact of host age-structure. Zbl 1114.92059Martcheva, Maia; Pilyugin, Sergei S.; Holt, Robert D. 9 2007 Mathematical models of influenza: the role of cross-immunity, quarantine and age-structure. Zbl 1206.92016Nuño, M.; Castillo-Chavez, C.; Feng, Z.; Martcheva, M. 9 2008 A predator-prey-disease model with immune response in infected prey. Zbl 1308.92080Bhattacharya, Souvik; Martcheva, Maia; Li, Xue-Zhi 8 2014 Optimal control in multi-group coupled within-host and between-host models. Zbl 1342.49064Numfor, Eric; Bhattacharya, Souvik; Martcheva, Maia; Lenhart, Suzanne 8 2016 Coexistence and competitive exclusion in an SIS model with standard incidence and diffusion. Zbl 1360.35307Wu, Yixiang; Tuncer, Necibe; Martcheva, Maia 8 2017 The mathematics of sex and marriage, revisited. Zbl 0990.91052Martcheva, Maia; Milner, Fabio A. 8 2001 Competitive exclusion in a multi-strain virus model with spatial diffusion and age of infection. Zbl 1381.92076Duan, Xi-Chao; Yin, Jun-Feng; Li, Xue-Zhi; Martcheva, Maia 7 2018 A two-sex age-structured population model: well posedness. Zbl 0973.92031Martcheva, Maia; Milner, Fabio A. 7 1999 Qualitative analysis on a diffusive age-structured heroin transmission model. Zbl 1437.92118Duan, Xi-Chao; Li, Xue-Zhi; Martcheva, Maia 7 2020 An age-structured two-strain epidemic model with super-infection. Zbl 1184.92041Li, Xue-Zhi; Liu, Ji-Xuan; Martcheva, Maia 7 2010 Evolutionary consequences of predation for pathogens in prey. Zbl 1163.92039Martcheva, Maia 6 2009 Methods for deriving necessary and sufficient conditions for backward bifurcation. Zbl 1447.92449Martcheva, Maia 6 2019 A Lyapunov-Schmidt method for detecting backward bifurcation in age-structured population models. Zbl 1447.92450Martcheva, Maia; Inaba, Hisashi 6 2020 Global dynamics of a vector-host epidemic model with age of infection. Zbl 1365.92119Dang, Yan-Xia; Qiu, Zhi-Peng; Li, Xue-Zhi; Martcheva, Maia 6 2017 Coupling within-host and between-host infectious diseases models. Zbl 1368.92188Martcheva, Maia; Tuncer, Necibe; St. Mary, Colette M. 6 2015 A metapopulation model with discrete size structure. Zbl 1128.92050Martcheva, Maia; Thieme, Horst R. 5 2005 Backward bifurcation and oscillations in a nested immuno-eco-epidemiological model. Zbl 1447.92396Barfield, Michael; Martcheva, Maia; Tuncer, Necibe; Holt, Robert D. 5 2018 Competitive exclusion in a multi-strain immuno-epidemiological influenza model with environmental transmission. Zbl 1448.92284Dang, Yan-Xia; Li, Xue-Zhi; Martcheva, Maia 5 2016 Role of bi-directional migration in two similar types of ecosystems. Zbl 1394.92110Pal, Nikhil; Samanta, Sudip; Martcheva, Maia; Chattopadhyay, Joydev 5 2018 Effects of social-distancing on infectious disease dynamics: an evolutionary game theory and economic perspective. Zbl 1484.92124Martcheva, Maia; Tuncer, Necibe; Ngonghala, Calistus N. 5 2021 A dynamic model to assess human papillomavirus vaccination strategies in a heterosexual population combined with men who have sex with men. Zbl 1460.92119Gao, Shasha; Martcheva, Maia; Miao, Hongyu; Rong, Libin 5 2021 A network immuno-epidemiological HIV model. Zbl 1460.92200Gupta, Churni; Tuncer, Necibe; Martcheva, Maia 5 2021 Efficacy of control measures in the control of Ebola, Liberia 2014–2015. Zbl 1447.92479Tuncer, Necibe; Mohanakumar, Chindu; Swanson, Samuel; Martcheva, Maia 4 2018 Homogeneous dynamical systems and the age-structured SIR model with proportionate mixing incidence. Zbl 1132.92339Iannelli, Mimmo; Martcheva, Maia 4 2003 Impact of enhanced malaria control on the competition between Plasmodium falciparum and Plasmodium vivax in India. Zbl 1316.92090Prosper, Olivia; Martcheva, Maia 3 2013 On the principle of host evolution in host-pathogen interactions. Zbl 1447.92452Martcheva, Maia; Tuncer, Necibe; Kim, Yena 3 2017 A mathematical study to control Guinea worm disease: a case study on Chad. Zbl 1447.92424Ghosh, Indrajit; Tiwari, Pankaj Kumar; Mandal, Sandip; Martcheva, Maia; Chattopadhyay, Joydev 3 2018 Asymptotic analysis of a vector-borne disease model with the age of infection. Zbl 1447.92486Wang, Xia; Chen, Yuming; Martcheva, Maia; Rong, Libin 3 2020 Imitation dynamics of vaccine decision-making behaviours based on the game theory. Zbl 1448.92362Yang, Junyuan; Martcheva, Maia; Chen, Yuming 3 2016 A delay non-autonomous model for the combined effects of fear, prey refuge and additional food for predator. Zbl 1484.92081Sk, Nazmul; Tiwari, Pankaj Kumar; Pal, Samares; Martcheva, Maia 3 2021 Using an age-structured COVID-19 epidemic model and data to model virulence evolution in Wuhan, China. Zbl 1484.92106Duan, Xi-Chao; Li, Xue-Zhi; Martcheva, Maia; Yuan, Sanling 3 2022 A two-sex model of human papillomavirus infection: vaccination strategies and a case study. Zbl 1483.92092Gao, Shasha; Martcheva, Maia; Miao, Hongyu; Rong, Libin 3 2022 Kolmogorov’s differential equations and positive semigroups on first moment sequence spaces. Zbl 1113.92069Martcheva, Maia; Thieme, Horst R.; Dhirasakdanon, Thanate 2 2006 India’s approach to eliminating Plasmodium falciparum malaria: a modeling perspective. Zbl 1404.92195Martcheva, Maia; Hoppensteadt, Frank 2 2010 A novel multi-scale immuno-epidemiological model of visceral leishmaniasis in dogs. Zbl 1425.92199Welker, Jonathan Shane; Martcheva, Maia 2 2019 Coinfection dynamics of heroin transmission and HIV infection in a single population. Zbl 1447.92415Duan, Xi-Chao; Li, Xue-Zhi; Martcheva, Maia 2 2020 An evolutionary model of influenza a with drift and shift. Zbl 1447.92289Martcheva, Maia 2 2012 Dynamics of low and high pathogenic avian influenza in wild and domestic bird populations. Zbl 1448.92346Tuncer, Necibe; Torres, Juan; Martcheva, Maia; Barfield, Michael; Holt, Robert D. 2 2016 An immuno-eco-epidemiological model of competition. Zbl 1448.92277Bhattacharya, Souvik; Martcheva, Maia 2 2016 Dynamics and optimal control of an age-structured SIRVS epidemic model. Zbl 1452.92024Duan, Xi-Chao; Jung, Il Hyo; Li, Xue-zhi; Martcheva, Maia 2 2020 Immune level approach for multiple strain pathogens. Zbl 1342.92268Nuño, M.; Martcheva, M.; Castillo-Chavez, C. 2 2009 Competition between low and high pathogenicity avian influenza in a two-patch system. Zbl 1377.92100Saucedo, Omar; Martcheva, M. 2 2017 Delay in budget allocation for vaccination and awareness induces chaos in an infectious disease model. Zbl 1484.92060Misra, Arvind Kumar; Rai, Rajanish Kumar; Tiwari, Pankaj Kumar; Martcheva, Maia 2 2021 Parameter identifiability and optimal control of an SARS-CoV-2 model early in the pandemic. Zbl 1494.92151Tuncer, Necibe; Timsina, Archana; Nuno, Miriam; Chowell, Gerardo; Martcheva, Maia 2 2022 Dynamics of an age-structured heroin transmission model with vaccination and treatment. Zbl 1497.92152Duan, Xi-Chao; Li, Xue-Zhi; Martcheva, Maia 2 2019 Multi-strain persistence induced by host age structure. Zbl 1236.92049Qiu, Zhipeng; Li, Xuezhi; Martcheva, Maia 2 2012 Dynamics of an age structured heroin transmission model with imperfect vaccination. Zbl 1471.92200Duan, Xi-Chao; Cheng, Huanhuan; Martcheva, Maia; Yuan, Sanling 1 2021 Analysis and simulations with a multi-scale model of canine visceral leishmaniasis. Zbl 1467.92233Welker, Jonathan Shane; Martcheva, Maia 1 2020 Modeling and control of malaria when mosquitoes are used as vaccinators. Zbl 1409.92243Li, Xue-Zhi; Gao, Sha-Sha; Martcheva, Maia 1 2015 Modeling and research on an immuno-epidemiological coupled system with coinfection. Zbl 1480.92206Li, Xue-Zhi; Gao, Shasha; Fu, Yi-Ke; Martcheva, Maia 1 2021 Nonlinear mating models for populations with discrete generations. Zbl 1024.92018Castillo-Chavez, Carlos; Yakubu, Abdul-Aziz; Thieme, Horst; Martcheva, Maia 1 2002 A tuberculosis (TB) model with undetected compartment: an application to China. Zbl 1228.92051Li, Xue-Zhi; Bhattacharya, Souvik; Yang, Jun-Yuan; Martcheva, Maia 1 2011 Modeling syphilis and HIV coinfection: a case study in the USA. Zbl 1508.92301Wang, Cheng-Long; Gao, Shasha; Li, Xue-Zhi; Martcheva, Maia 1 2023 Modeling syphilis and HIV coinfection: a case study in the USA. Zbl 1508.92301Wang, Cheng-Long; Gao, Shasha; Li, Xue-Zhi; Martcheva, Maia 1 2023 Using an age-structured COVID-19 epidemic model and data to model virulence evolution in Wuhan, China. Zbl 1484.92106Duan, Xi-Chao; Li, Xue-Zhi; Martcheva, Maia; Yuan, Sanling 3 2022 A two-sex model of human papillomavirus infection: vaccination strategies and a case study. Zbl 1483.92092Gao, Shasha; Martcheva, Maia; Miao, Hongyu; Rong, Libin 3 2022 Parameter identifiability and optimal control of an SARS-CoV-2 model early in the pandemic. Zbl 1494.92151Tuncer, Necibe; Timsina, Archana; Nuno, Miriam; Chowell, Gerardo; Martcheva, Maia 2 2022 Effects of social-distancing on infectious disease dynamics: an evolutionary game theory and economic perspective. Zbl 1484.92124Martcheva, Maia; Tuncer, Necibe; Ngonghala, Calistus N. 5 2021 A dynamic model to assess human papillomavirus vaccination strategies in a heterosexual population combined with men who have sex with men. Zbl 1460.92119Gao, Shasha; Martcheva, Maia; Miao, Hongyu; Rong, Libin 5 2021 A network immuno-epidemiological HIV model. Zbl 1460.92200Gupta, Churni; Tuncer, Necibe; Martcheva, Maia 5 2021 A delay non-autonomous model for the combined effects of fear, prey refuge and additional food for predator. Zbl 1484.92081Sk, Nazmul; Tiwari, Pankaj Kumar; Pal, Samares; Martcheva, Maia 3 2021 Delay in budget allocation for vaccination and awareness induces chaos in an infectious disease model. Zbl 1484.92060Misra, Arvind Kumar; Rai, Rajanish Kumar; Tiwari, Pankaj Kumar; Martcheva, Maia 2 2021 Dynamics of an age structured heroin transmission model with imperfect vaccination. Zbl 1471.92200Duan, Xi-Chao; Cheng, Huanhuan; Martcheva, Maia; Yuan, Sanling 1 2021 Modeling and research on an immuno-epidemiological coupled system with coinfection. Zbl 1480.92206Li, Xue-Zhi; Gao, Shasha; Fu, Yi-Ke; Martcheva, Maia 1 2021 Age structured epidemic modeling. Zbl 1435.92002Li, Xue-Zhi; Yang, Junyuan; Martcheva, Maia 16 2020 Qualitative analysis on a diffusive age-structured heroin transmission model. Zbl 1437.92118Duan, Xi-Chao; Li, Xue-Zhi; Martcheva, Maia 7 2020 A Lyapunov-Schmidt method for detecting backward bifurcation in age-structured population models. Zbl 1447.92450Martcheva, Maia; Inaba, Hisashi 6 2020 Asymptotic analysis of a vector-borne disease model with the age of infection. Zbl 1447.92486Wang, Xia; Chen, Yuming; Martcheva, Maia; Rong, Libin 3 2020 Coinfection dynamics of heroin transmission and HIV infection in a single population. Zbl 1447.92415Duan, Xi-Chao; Li, Xue-Zhi; Martcheva, Maia 2 2020 Dynamics and optimal control of an age-structured SIRVS epidemic model. Zbl 1452.92024Duan, Xi-Chao; Jung, Il Hyo; Li, Xue-zhi; Martcheva, Maia 2 2020 Analysis and simulations with a multi-scale model of canine visceral leishmaniasis. Zbl 1467.92233Welker, Jonathan Shane; Martcheva, Maia 1 2020 Backward bifurcation, oscillations and chaos in an eco-epidemiological model with fear effect. Zbl 1447.92474Sha, Amar; Samanta, Sudip; Martcheva, Maia; Chattopadhyay, Joydev 16 2019 Methods for deriving necessary and sufficient conditions for backward bifurcation. Zbl 1447.92449Martcheva, Maia 6 2019 A novel multi-scale immuno-epidemiological model of visceral leishmaniasis in dogs. Zbl 1425.92199Welker, Jonathan Shane; Martcheva, Maia 2 2019 Dynamics of an age-structured heroin transmission model with vaccination and treatment. Zbl 1497.92152Duan, Xi-Chao; Li, Xue-Zhi; Martcheva, Maia 2 2019 Competitive exclusion in a multi-strain virus model with spatial diffusion and age of infection. Zbl 1381.92076Duan, Xi-Chao; Yin, Jun-Feng; Li, Xue-Zhi; Martcheva, Maia 7 2018 Backward bifurcation and oscillations in a nested immuno-eco-epidemiological model. Zbl 1447.92396Barfield, Michael; Martcheva, Maia; Tuncer, Necibe; Holt, Robert D. 5 2018 Role of bi-directional migration in two similar types of ecosystems. Zbl 1394.92110Pal, Nikhil; Samanta, Sudip; Martcheva, Maia; Chattopadhyay, Joydev 5 2018 Efficacy of control measures in the control of Ebola, Liberia 2014–2015. Zbl 1447.92479Tuncer, Necibe; Mohanakumar, Chindu; Swanson, Samuel; Martcheva, Maia 4 2018 A mathematical study to control Guinea worm disease: a case study on Chad. Zbl 1447.92424Ghosh, Indrajit; Tiwari, Pankaj Kumar; Mandal, Sandip; Martcheva, Maia; Chattopadhyay, Joydev 3 2018 Optimal control of a malaria model with asymptomatic class and superinfection. Zbl 1377.92082Cai, Liming; Li, Xuezhi; Tuncer, Necibe; Martcheva, Maia; Lashari, Abid Ali 18 2017 How does within-host dynamics affect population-level dynamics? Insights from an immuno-epidemiological model of malaria. Zbl 1383.92078Cai, Liming; Tuncer, Necibe; Martcheva, Maia 17 2017 Vector-borne pathogen and host evolution in a structured immuno-epidemiological system. Zbl 1366.92122Gulbudak, Hayriye; Cannataro, Vincent L.; Tuncer, Necibe; Martcheva, Maia 11 2017 Coexistence and competitive exclusion in an SIS model with standard incidence and diffusion. Zbl 1360.35307Wu, Yixiang; Tuncer, Necibe; Martcheva, Maia 8 2017 Global dynamics of a vector-host epidemic model with age of infection. Zbl 1365.92119Dang, Yan-Xia; Qiu, Zhi-Peng; Li, Xue-Zhi; Martcheva, Maia 6 2017 On the principle of host evolution in host-pathogen interactions. Zbl 1447.92452Martcheva, Maia; Tuncer, Necibe; Kim, Yena 3 2017 Competition between low and high pathogenicity avian influenza in a two-patch system. Zbl 1377.92100Saucedo, Omar; Martcheva, M. 2 2017 Structural and practical identifiability issues of immuno-epidemiological vector-host models with application to Rift Valley Fever. Zbl 1352.92173Tuncer, Necibe; Gulbudak, Hayriye; Cannataro, Vincent L.; Martcheva, Maia 18 2016 Optimal control in multi-group coupled within-host and between-host models. Zbl 1342.49064Numfor, Eric; Bhattacharya, Souvik; Martcheva, Maia; Lenhart, Suzanne 8 2016 Competitive exclusion in a multi-strain immuno-epidemiological influenza model with environmental transmission. Zbl 1448.92284Dang, Yan-Xia; Li, Xue-Zhi; Martcheva, Maia 5 2016 Imitation dynamics of vaccine decision-making behaviours based on the game theory. Zbl 1448.92362Yang, Junyuan; Martcheva, Maia; Chen, Yuming 3 2016 Dynamics of low and high pathogenic avian influenza in wild and domestic bird populations. Zbl 1448.92346Tuncer, Necibe; Torres, Juan; Martcheva, Maia; Barfield, Michael; Holt, Robert D. 2 2016 An immuno-eco-epidemiological model of competition. Zbl 1448.92277Bhattacharya, Souvik; Martcheva, Maia 2 2016 An introduction to mathematical epidemiology. Zbl 1333.92006Martcheva, Maia 275 2015 Global asymptotic properties of a heroin epidemic model with treat-age. Zbl 1410.92119Fang, Bin; Li, Xue-Zhi; Martcheva, Maia; Cai, Li-Ming 26 2015 Global threshold dynamics of an SIVS model with waning vaccine-induced immunity and nonlinear incidence. Zbl 1343.92529Yang, Junyuan; Martcheva, Maia; Wang, Lin 20 2015 Global stability for a heroin model with age-dependent susceptibility. Zbl 1332.93308Fang, Bin; Li, Xuezhi; Martcheva, Maia; Cai, Liming 15 2015 Coupling within-host and between-host infectious diseases models. Zbl 1368.92188Martcheva, Maia; Tuncer, Necibe; St. Mary, Colette M. 6 2015 Modeling and control of malaria when mosquitoes are used as vaccinators. Zbl 1409.92243Li, Xue-Zhi; Gao, Sha-Sha; Martcheva, Maia 1 2015 Global stability for a heroin model with two distributed delays. Zbl 1281.92029Fang, Bin; Li, Xue-Zhi; Martcheva, Maia; Cai, Liming 25 2014 Optimal control in coupled within-host and between-host models. Zbl 1294.49013Numfor, E.; Bhattacharya, S.; Lenhart, S.; Martcheva, M. 20 2014 A structured avian influenza model with imperfect vaccination and vaccine-induced asymptomatic infection. Zbl 1330.92125Gulbudak, Hayriye; Martcheva, Maia 13 2014 Avian flu: modeling and implications for control. Zbl 1343.92497Martcheva, Maia 13 2014 Optimal vaccination and bednet maintenance for the control of malaria in a region with naturally acquired immunity. Zbl 1412.92295Prosper, Olivia; Ruktanonchai, Nick; Martcheva, Maia 11 2014 A predator-prey-disease model with immune response in infected prey. Zbl 1308.92080Bhattacharya, Souvik; Martcheva, Maia; Li, Xue-Zhi 8 2014 Modeling seasonality in avian influenza H5N1. Zbl 1342.92285Tuncer, Necibe; Martcheva, Maia 21 2013 Epidemic models with age of infection, indirect transmission and incomplete treatment. Zbl 1277.92021Cai, Liming; Martcheva, Maia; Li, Xue-Zhi 19 2013 Competitive exclusion in an infection-age structured model with environmental transmission. Zbl 1306.92047Martcheva, Maia; Li, Xue-Zhi 19 2013 Forward hysteresis and backward bifurcation caused by culling in an avian influenza model. Zbl 1281.92039Gulbudak, Hayriye; Martcheva, Maia 17 2013 The vector-host epidemic model with multiple strains in a patchy environment. Zbl 1306.92063Qiu, Zhipeng; Kong, Qingkai; Li, Xuezhi; Martcheva, Maia 12 2013 Linking immunological and epidemiological dynamics of HIV: the case of super-infection. Zbl 1447.92451Martcheva, Maia; Li, Xue-Zhi 12 2013 Competitive exclusion in a vector-host epidemic model with distributed delay. Zbl 1448.92280Cai, Li-Ming; Martcheva, Maia; Li, Xue-Zhi 11 2013 Impact of enhanced malaria control on the competition between Plasmodium falciparum and Plasmodium vivax in India. Zbl 1316.92090Prosper, Olivia; Martcheva, Maia 3 2013 Analytical and numerical approaches to coexistence of strains in a two-strain SIS model with diffusion. Zbl 1447.92478Tuncer, Necibe; Martcheva, Maia 20 2012 Global stability of a DS-DI epidemic model with age of infection. Zbl 1245.92057Yang, Jun-Yuan; Li, Xue-Zhi; Martcheva, Maia 12 2012 Assessing the role of spatial heterogeneity and human movement in malaria dynamics and control. Zbl 1337.92215Prosper, Olivia; Ruktanonchai, Nick; Martcheva, Maia 11 2012 An evolutionary model of influenza a with drift and shift. Zbl 1447.92289Martcheva, Maia 2 2012 Multi-strain persistence induced by host age structure. Zbl 1236.92049Qiu, Zhipeng; Li, Xuezhi; Martcheva, Maia 2 2012 Bistability and long-term cure in a within-host model of hepatitis C. Zbl 1382.92177Debroy, Swati; Bolker, Benjamin M.; Martcheva, Maia 10 2011 A tuberculosis (TB) model with undetected compartment: an application to China. Zbl 1228.92051Li, Xue-Zhi; Bhattacharya, Souvik; Yang, Jun-Yuan; Martcheva, Maia 1 2011 A cost-based comparison of quarantine strategies for new emerging diseases. Zbl 1260.92069Mubayi, Anuj; Zaleta, Christopher Kribs; Martcheva, Maia; Castillo-Chávez, Carlos 12 2010 Oscillations in a size-structured prey-predator model. Zbl 1200.92039Bhattacharya, Souvik; Martcheva, Maia 10 2010 An age-structured two-strain epidemic model with super-infection. Zbl 1184.92041Li, Xue-Zhi; Liu, Ji-Xuan; Martcheva, Maia 7 2010 India’s approach to eliminating Plasmodium falciparum malaria: a modeling perspective. Zbl 1404.92195Martcheva, Maia; Hoppensteadt, Frank 2 2010 A non-autonomous multi-strain SIS epidemic model. Zbl 1342.92258Martcheva, Maia 25 2009 Evolutionary consequences of predation for pathogens in prey. Zbl 1163.92039Martcheva, Maia 6 2009 Immune level approach for multiple strain pathogens. Zbl 1342.92268Nuño, M.; Martcheva, M.; Castillo-Chavez, C. 2 2009 An epidemic model of a vector-borne disease with direct transmission and time delay. Zbl 1146.34059Wei, Hui-Ming; Li, Xue-Zhi; Martcheva, Maia 72 2008 Serotype replacement of vertically transmitted diseases through perfect vaccination. Zbl 1146.92023Thomasey, Douglas H.; Martcheva, Maia 13 2008 Mathematical models of influenza: the role of cross-immunity, quarantine and age-structure. Zbl 1206.92016Nuño, M.; Castillo-Chavez, C.; Feng, Z.; Martcheva, M. 9 2008 Subthreshold coexistence of strains: the impact of vaccination and mutation. Zbl 1123.92017Martcheva, Maia; Iannelli, Mimmo; Li, Xuezhi 15 2007 Subthreshold and superthreshold coexistence of pathogen variants: The impact of host age-structure. Zbl 1114.92059Martcheva, Maia; Pilyugin, Sergei S.; Holt, Robert D. 9 2007 The role of coinfection in multidisease dynamics. Zbl 1096.92037Martcheva, Maia; Pilyugin, Sergei S. 34 2006 An age-structured epidemic model of rotavirus with vaccination. Zbl 1113.92045Shim, E.; Feng, Z.; Martcheva, M.; Castillo-Chavez, C. 32 2006 An epidemic model structured by host immunity. Zbl 1105.92032Martcheva, Maia; Pilyugin, Sergei S. 16 2006 Kolmogorov’s differential equations and positive semigroups on first moment sequence spaces. Zbl 1113.92069Martcheva, Maia; Thieme, Horst R.; Dhirasakdanon, Thanate 2 2006 Dynamics of two-strain influenza with isolation and partial cross-immunity. Zbl 1075.92041Nuño, M.; Feng, Z.; Martcheva, M.; Castillo-Chavez, C. 50 2005 Gender-structured population modeling. Mathematical methods, numerics, and simulations. Zbl 1107.91076Iannelli, M.; Martcheva, M.; Milner, F. A. 46 2005 Strain replacement in an epidemic model with super-infection and perfect vaccination. Zbl 1065.92043Iannelli, Mimmo; Martcheva, Maia; Li, Xue-Zhi 44 2005 A metapopulation model with discrete size structure. Zbl 1128.92050Martcheva, Maia; Thieme, Horst R. 5 2005 Progression age enhanced backward bifurcation in an epidemic model with super-infection. Zbl 1097.92046Martcheva, Maia; Thieme, Horst R. 84 2003 Diseases with chronic stage in a population with varying size. Zbl 1012.92024Martcheva, Maia; Castillo-Chavez, Carlos 31 2003 The transmission of meningococcal infection: A mathematical study. Zbl 1032.92020Martcheva, Maia; Crispino-O’Connell, Gloria 11 2003 Homogeneous dynamical systems and the age-structured SIR model with proportionate mixing incidence. Zbl 1132.92339Iannelli, Mimmo; Martcheva, Maia 4 2003 Vaccination strategies and backward bifurcation in an age-since-infection structured model. Zbl 0998.92033Kribs-Zaleta, Christopher M.; Martcheva, Maia 50 2002 Nonlinear mating models for populations with discrete generations. Zbl 1024.92018Castillo-Chavez, Carlos; Yakubu, Abdul-Aziz; Thieme, Horst; Martcheva, Maia 1 2002 On the controllability of the Lotka-McKendrick model of population dynamics. Zbl 0961.92024Barbu, Viorel; Iannelli, Mimmo; Martcheva, Maia 47 2001 The mathematics of sex and marriage, revisited. Zbl 0990.91052Martcheva, Maia; Milner, Fabio A. 8 2001 A two-sex age-structured population model: well posedness. Zbl 0973.92031Martcheva, Maia; Milner, Fabio A. 7 1999 all cited Publications top 5 cited Publications all top 5 Cited by 1,793 Authors 56 Martcheva, Maia 41 Li, Xuezhi 33 Yang, Junyuan 19 Jiang, Daqing 18 Cai, Liming 17 Jin, Zhen 17 Tuncer, Necibe 15 Kuniya, Toshikazu 15 Thieme, Horst R. 14 Chattopadhyay, Joydev 13 Duan, Xichao 13 Teng, Zhi-dong 13 Wang, Jin 12 Rong, Libin 11 Gulbudak, Hayriye 11 Zhang, Fengqin 10 Hayat, Tasawar 10 Ruan, Shigui 10 Samanta, Sudip 10 Wang, Xiaoyan 10 Xiao, Yanni 10 Xu, Rui 10 Yan, Dongxue 10 Zhou, Yicang 9 He, Zerong 9 Kar, Tapan Kumar 9 Pei, Yongzhen 9 Qiu, Zhipeng 9 Wang, Jinliang 9 Yuan, Sanling 8 Chekroun, Abdennasser 8 Ghosh, Mini 8 Hoang, Manh Tuan 8 Liu, Qun 8 Tiwari, Pankaj Kumar 8 Xu, Jinhu 7 Buonomo, Bruno 7 Cao, Hui 7 Chen, Yuming 7 Gao, Shasha 7 Inaba, Hisashi 7 Liu, Helong 7 Milner, Fabio Augusto 7 Pal, Nikhil Ranjan 7 Shen, Mingwang 7 Tian, Xiaohong 7 Touaoula, Tarik Mohamed 7 Wang, Lianwen 7 Wu, Jianhong 7 Wu, YiXiang 7 Xu, Fei 7 Zou, Xingfu 6 Al-saedi, Ahmed Eid Salem 6 Chowell, Gerardo 6 Cui, Jingan 6 Feng, Zhilan 6 Huo, Hai-Feng 6 Jana, Soovoojeet 6 Lashari, Abid Ali 6 Lenhart, Suzanne M. 6 Liu, Xianning 6 Liu, Zhijun 6 Maxin, Daniel 6 Nie, Linfei 6 Song, Xinyu 6 Xiang, Hong 6 Yang, Yu 6 Zaman, Gul 5 Ainseba, Bedr’Eddine 5 Berec, Luděk 5 Bowong, Samuel 5 Chang, Lili 5 Fragnelli, Genni 5 Ghosh, Jayanta Kumar 5 Ghosh, Uttam 5 Hritonenko, Natali 5 Khan, Muhammad Altaf 5 Li, Chun-Hsien 5 Liu, Lili 5 Liu, Rong 5 Luo, Xiaofeng 5 Luo, Zhixue 5 Misra, Arvind Kumar 5 Mohammed-Awel, Jemal 5 Safan, Muntaser 5 Sun, Guiquan 5 Tanimoto, Jun 5 Vargas-De-León, Cruz 5 Wang, Weiming 5 Wang, Wendi 5 Yatsenko, Yuri 5 Yu, Jingyuan 5 Zhang, Liang 5 Zhao, Yanan 5 Zhu, Guangtian 4 Akimenko, Vitalii V. 4 Arefin, Md Rajib 4 Asamoah, Joshua Kiddy K. 4 Baba, Isa Abdullahi 4 Banasiak, Jacek ...and 1,693 more Authors all top 5 Cited in 170 Serials 69 Mathematical Biosciences and Engineering 52 Journal of Mathematical Biology 49 Bulletin of Mathematical Biology 49 International Journal of Biomathematics 46 Mathematical Biosciences 45 Applied Mathematics and Computation 43 Journal of Theoretical Biology 41 Journal of Biological Dynamics 34 Journal of Mathematical Analysis and Applications 33 Discrete and Continuous Dynamical Systems. Series B 31 Nonlinear Analysis. Real World Applications 28 Advances in Difference Equations 25 Journal of Biological Systems 24 Applied Mathematical Modelling 23 Physica A 23 Chaos, Solitons and Fractals 19 Journal of Applied Mathematics and Computing 16 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 16 Mathematical Modelling of Natural Phenomena 13 Journal of Applied Mathematics 12 Mathematics and Computers in Simulation 11 Computers & Mathematics with Applications 11 Journal of the Franklin Institute 10 Journal of Computational and Applied Mathematics 10 Theoretical Population Biology 10 Mathematical Population Studies 10 Abstract and Applied Analysis 10 Chaos 10 Communications in Nonlinear Science and Numerical Simulation 9 Applicable Analysis 9 Nonlinear Dynamics 9 Discrete Dynamics in Nature and Society 9 Computational & Mathematical Methods in Medicine 8 Applied Mathematics Letters 8 Complexity 8 Journal of Applied Analysis and Computation 8 International Journal of Applied and Computational Mathematics 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Mathematical Methods in the Applied Sciences 6 Journal of Differential Equations 6 Computational and Applied Mathematics 6 Fractals 6 International Journal of Nonlinear Sciences and Numerical Simulation 6 AIMS Mathematics 5 Applied Mathematics and Optimization 5 Journal of Dynamics and Differential Equations 4 Ricerche di Matematica 4 Acta Applicandae Mathematicae 4 International Journal of Computer Mathematics 4 Journal of Difference Equations and Applications 4 Qualitative Theory of Dynamical Systems 4 Nonlinear Analysis. Modelling and Control 3 Journal of Optimization Theory and Applications 3 SIAM Journal on Applied Mathematics 3 Differential Equations and Dynamical Systems 3 The ANZIAM Journal 3 Mathematical Modelling and Analysis 3 Journal of Systems Science and Complexity 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Discrete and Continuous Dynamical Systems. Series S 3 Mathematical Control and Related Fields 3 Journal of Applied Nonlinear Dynamics 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 International Journal of Control 2 The Journal of Mathematical Sociology 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 SIAM Journal on Control and Optimization 2 Insurance Mathematics & Economics 2 Mathematical and Computer Modelling 2 European Journal of Operational Research 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Journal of Nonlinear Science 2 Applied Mathematics. Series B (English Edition) 2 Filomat 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Dynamical Systems 2 Advances in Complex Systems 2 Nonlinear Analysis. Hybrid Systems 2 Journal of Applied Mathematics & Informatics 2 Dynamic Games and Applications 2 S\(\vec{\text{e}}\)MA Journal 2 Biomath 2 Evolution Equations and Control Theory 2 Mathematics 2 Computational Methods for Differential Equations 2 Journal of Elliptic and Parabolic Equations 2 Computational and Mathematical Biophysics 2 Mathematics in Applied Sciences and Engineering 1 International Journal of Mathematical Education in Science and Technology 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Systems Science 1 Journal of Computational Physics 1 Lithuanian Mathematical Journal 1 Nonlinearity 1 Physics Reports 1 Rocky Mountain Journal of Mathematics 1 Automatica 1 Demonstratio Mathematica 1 International Journal of Mathematics and Mathematical Sciences ...and 70 more Serials all top 5 Cited in 33 Fields 1,032 Biology and other natural sciences (92-XX) 453 Ordinary differential equations (34-XX) 215 Partial differential equations (35-XX) 132 Dynamical systems and ergodic theory (37-XX) 96 Calculus of variations and optimal control; optimization (49-XX) 75 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 63 Probability theory and stochastic processes (60-XX) 57 Numerical analysis (65-XX) 53 Systems theory; control (93-XX) 23 Integral equations (45-XX) 21 Operator theory (47-XX) 18 Difference and functional equations (39-XX) 14 Statistical mechanics, structure of matter (82-XX) 12 Combinatorics (05-XX) 11 Operations research, mathematical programming (90-XX) 9 Statistics (62-XX) 8 Real functions (26-XX) 8 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 3 Field theory and polynomials (12-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Functional analysis (46-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year