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Journal of Biological Dynamics Volume 7, 2013 - Issue 1
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Original Articles

Linking immunological and epidemiological dynamics of HIV: the case of super-infection

Maia MartchevaDepartment of Mathematics, University of Florida, 358 Little Hall, PO Box 118105, Gainesville, FL32611–8105, USACorrespondence[email protected]
&
Xue-Zhi LiDepartment of Mathematics, Xinyang Normal University, Xinyang464000, People's Republic of China
Pages 161-182 | Received 12 Nov 2012, Accepted 24 Jun 2013, Published online: 29 Jul 2013

Citations (31)

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Read on this site (5)

Michael Barfield, Maia Martcheva, Necibe Tuncer & Robert D. Holt. (2018) Backward bifurcation and oscillations in a nested immuno-eco-epidemiological model. Journal of Biological Dynamics 12:1, pages 51-88.
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Maia Martcheva, Necibe Tuncer & Yena Kim. (2017) On the principle of host evolution in host–pathogen interactions. Journal of Biological Dynamics 11:sup1, pages 102-119.
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Winston Garira. (2017) A complete categorization of multiscale models of infectious disease systems. Journal of Biological Dynamics 11:1, pages 378-435.
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Yan-Xia Dang, Xue-Zhi Li & Maia Martcheva. (2016) Competitive exclusion in a multi-strain immuno-epidemiological influenza model with environmental transmission. Journal of Biological Dynamics 10:1, pages 416-456.
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Souvik Bhattacharya & Maia Martcheva. (2016) An immuno-eco-epidemiological model of competition. Journal of Biological Dynamics 10:1, pages 314-341.
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Articles from other publishers (26)

James W.G. Doran, Robin N. Thompson, Christian A. Yates & Ruth Bowness. (2023) Mathematical methods for scaling from within-host to population-scale in infectious disease systems. Epidemics 45, pages 100724.
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Xichao Duan, Xiaosa Sun & Sanling Yuan. (2022) Dynamics of an immune-epidemiological model with virus evolution and superinfection. Journal of the Franklin Institute 359:7, pages 3210-3237.
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Sara L. Loo & Mark M. Tanaka. (2022) The role of a programmatic immune response on the evolution of pathogen traits. Journal of Theoretical Biology 534, pages 110962.
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Churni Gupta, Necibe Tuncer & Maia Martcheva. (2022) A network immuno-epidemiological model of HIV and opioid epidemics. Mathematical Biosciences and Engineering 20:2, pages 4040-4068.
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Churni Gupta, Necibe Tuncer & Maia Martcheva. (2022) Immuno-epidemiological co-affection model of HIV infection and opioid addiction. Mathematical Biosciences and Engineering 19:4, pages 3636-3672.
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Malek Pourhosseini & Reza Memarbashi. (2022) The effect of irreversible drug abuse in a dynamic model. Discrete and Continuous Dynamical Systems - B 27:11, pages 6907.
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潇洒 孙. (2022) Coupled Models of Malaria and Vector-Borne Disease. Advances in Applied Mathematics 11:02, pages 695-704.
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Xue-Zhi Li, Shasha Gao, Yi-Ke Fu & Maia Martcheva. (2021) Modeling and Research on an Immuno-Epidemiological Coupled System with Coinfection. Bulletin of Mathematical Biology 83:11.
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Malek Pourhosseini & Reza Memarbashi. (2020) Relationship between addicts with incurable diseases in an epidemic model. Mathematical Methods in the Applied Sciences 44:9, pages 7820-7833.
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Churni Gupta, Necibe Tuncer & Maia Martcheva. (2021) A Network Immuno-Epidemiological HIV Model. Bulletin of Mathematical Biology 83:3.
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Jie Bai, Chayu Yang, Xueying Wang & Jin Wang. (2021) MODELING THE WITHIN-HOST DYNAMICS OF CHOLERA: BACTERIAL-VIRAL-IMMUNE INTERACTION. Journal of Applied Analysis & Computation 11:2, pages 690-710.
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Liming Cai, Zhaoqing Li, Chayu Yang & Jin Wang. (2020) Global analysis of an environmental disease transmission model linking within-host and between-host dynamics. Applied Mathematical Modelling 86, pages 404-423.
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Xue-Zhi Li, Junyuan Yang & Maia MartchevaXue-Zhi Li, Junyuan Yang & Maia Martcheva. 2020. Age Structured Epidemic Modeling. Age Structured Epidemic Modeling 69 103 .
Li-Ming Cai, Zhaoqing Li & Jinliang Liu. (2019) Modeling and analyzing dynamics of malaria transmission with host immunity. International Journal of Biomathematics 12:06, pages 1950074.
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WINSTON GARIRA & MARTIN CANAAN MAFUNDA. (2019) FROM INDIVIDUAL HEALTH TO COMMUNITY HEALTH: TOWARDS MULTISCALE MODELING OF DIRECTLY TRANSMITTED INFECTIOUS DISEASE SYSTEMS. Journal of Biological Systems 27:01, pages 131-166.
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Mingwang Shen, Yanni Xiao, Libin Rong & Lauren Ancel Meyers. (2019) Conflict and accord of optimal treatment strategies for HIV infection within and between hosts. Mathematical Biosciences 309, pages 107-117.
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Yan Li, Jinjin Cheng & Jie Lou. (2019) THE PERSISTENCE OF HIV-1 SPREADING IN MSM POPULATION IN CHINA. Journal of Applied Analysis & Computation 9:1, pages 245-260.
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Xiaodan Sun & Yanni Xiao. (2018) Multiscale System for Environmentally-Driven Infectious Disease with Threshold Control Strategy. International Journal of Bifurcation and Chaos 28:05, pages 1850064.
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Edna Chilenje Manda & Faraimunashe Chirove. (2017) Modelling coupled within host and population dynamics of $$R_5$$ R 5 and $$X_4$$ X 4 HIV infection. Journal of Mathematical Biology 76:5, pages 1123-1158.
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Liming Cai, Necibe Tuncer & Maia Martcheva. (2017) How does within‐host dynamics affect population‐level dynamics? Insights from an immuno‐epidemiological model of malaria. Mathematical Methods in the Applied Sciences 40:18, pages 6424-6450.
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Nargesalsadat Dorratoltaj, Ryan Nikin-Beers, Stanca M. Ciupe, Stephen G. Eubank & Kaja M. Abbas. (2017) Multi-scale immunoepidemiological modeling of within-host and between-host HIV dynamics: systematic review of mathematical models. PeerJ 5, pages e3877.
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Xiaodan Sun, Yanni Xiao, Sanyi Tang, Zhihang Peng, Jianhong Wu & Ning Wang. (2016) Early HAART Initiation May Not Reduce Actual Reproduction Number and Prevalence of MSM Infection: Perspectives from Coupled within- and between-Host Modelling Studies of Chinese MSM Populations. PLOS ONE 11:3, pages e0150513.
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Peipei Hu & Jie Lou. (2016) A NESTED MODEL ON HIV/AIDS, ANTIRETROVIRAL THERAPY AND DRUG RESISTANCE. Journal of Applied Analysis & Computation 6:3, pages 827-850.
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Mingwang Shen, Yanni Xiao & Libin Rong. (2015) Global stability of an infection-age structured HIV-1 model linking within-host and between-host dynamics. Mathematical Biosciences 263, pages 37-50.
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Jie Lou, Hongna Zhou, Dong Liang, Zhen Jin & Baojun Song. (2015) THE COUPLED WITHIN-AND BETWEEN-HOST DYNAMICS IN THE EVOLUTION OF HIV/AIDS IN CHINA. Journal of Applied Analysis & Computation 5:4, pages 731-750.
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Maia MartchevaMaia Martcheva. 2015. An Introduction to Mathematical Epidemiology. An Introduction to Mathematical Epidemiology 361 386 .

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