Search Results - "Maia Martcheva"
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1
Methods for deriving necessary and sufficient conditions for backward bifurcation
Published in Journal of biological dynamics (01-01-2019)“…Backward bifurcation has significant implications for disease control. Deriving necessary and sufficient conditions for backward bifurcation is of paramount…”
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Modeling the effects of prosocial awareness on COVID-19 dynamics: Case studies on Colombia and India
Published in Nonlinear dynamics (01-06-2021)“…The ongoing COVID-19 pandemic has affected most of the countries on Earth. It has become a pandemic outbreak with more than 50 million confirmed infections and…”
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A Dynamic Model to Assess Human Papillomavirus Vaccination Strategies in a Heterosexual Population Combined with Men Who have Sex with Men
Published in Bulletin of mathematical biology (2021)“…Vaccination is effective in preventing human papillomavirus (HPV) infection. It is imperative to investigate who should be vaccinated and what the best vaccine…”
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4
A Network Immuno-Epidemiological HIV Model
Published in Bulletin of mathematical biology (01-03-2021)“…In this paper we formulate a multi-scale nested immuno-epidemiological model of HIV on complex networks. The system is described by ordinary differential…”
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Coevolutionary Dynamics of Host Immune and Parasite Virulence Based on an Age-Structured Epidemic Model
Published in Bulletin of mathematical biology (01-04-2023)“…Hosts can activate a defensive response to clear the parasite once being infected. To explore how host survival and fecundity are affected by host-parasite…”
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The impact of vaccination on human papillomavirus infection with disassortative geographical mixing: a two-patch modeling study
Published in Journal of mathematical biology (01-05-2022)“…Human papillomavirus (HPV) infection can spread between regions. What is the impact of disassortative geographical mixing on the dynamics of HPV transmission?…”
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Optimal control of a multi-scale HIV-opioid model
Published in Journal of biological dynamics (01-12-2024)“…In this study, we apply optimal control theory to an immuno-epidemiological model of HIV and opioid epidemics. For the multi-scale model, we used four…”
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Backward bifurcation, oscillations and chaos in an eco-epidemiological model with fear effect
Published in Journal of biological dynamics (01-01-2019)“…This paper considers an eco-epidemiological model with disease in the prey population. The disease in the prey divides the total prey population into two…”
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Determining reliable parameter estimates for within-host and within-vector models of Zika virus
Published in Journal of biological dynamics (01-01-2021)“…In this paper, we introduce three within-host and one within-vector models of Zika virus. The within-host models are the target cell limited model, the target…”
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10
Habitat adaption promotes the evolution of predator species
Published in Zeitschrift für angewandte Mathematik und Physik (01-02-2023)“…Seagrass meadows always provide a habitat for many kinds of fish. As the environment changes, some kinds of fish persist if they can evolve a positive growth…”
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A Lyapunov-Schmidt method for detecting backward bifurcation in age-structured population models
Published in Journal of biological dynamics (01-01-2020)“…Backward bifurcation is an important property of infectious disease models. A centre manifold method has been developed by Castillo-Chavez and Song for…”
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12
Parameter identifiability and optimal control of an SARS-CoV-2 model early in the pandemic
Published in Journal of biological dynamics (01-12-2022)“…We fit an SARS-CoV-2 model to US data of COVID-19 cases and deaths. We conclude that the model is not structurally identifiable. We make the model identifiable…”
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13
A network immuno-epidemiological model of HIV and opioid epidemics
Published in Mathematical biosciences and engineering : MBE (01-01-2023)“…In this paper, we introduce a novel multi-scale network model of two epidemics: HIV infection and opioid addiction. The HIV infection dynamics is modeled on a…”
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Immuno-epidemiological co-affection model of HIV infection and opioid addiction
Published in Mathematical biosciences and engineering : MBE (01-04-2022)“…In this paper, we present a multi-scale co-affection model of HIV infection and opioid addiction. The population scale epidemiological model is linked to the…”
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Modeling Syphilis and HIV Coinfection: A Case Study in the USA
Published in Bulletin of mathematical biology (01-03-2023)“…Syphilis and HIV infections form a dangerous combination. In this paper, we propose an epidemic model of HIV-syphilis coinfection. The model always has a…”
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Modeling and Research on an Immuno-Epidemiological Coupled System with Coinfection
Published in Bulletin of mathematical biology (01-11-2021)“…In this paper, a two-strain model with coinfection that links immunological and epidemiological dynamics across scales is formulated. On the with-in host…”
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Deciphering the transmission dynamics of COVID-19 in India: optimal control and cost effective analysis
Published in Journal of biological dynamics (31-12-2022)“…In this paper we assess the effectiveness of different non-pharmaceutical interventions (NPIs) against COVID-19 utilizing a compartmental model. The local…”
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18
The switch point algorithm applied to a harvesting problem
Published in Mathematical biosciences and engineering : MBE (30-05-2024)“…In this paper, we investigate an optimal harvesting problem of a spatially explicit fishery model that was previously analyzed. On the surface, this problem…”
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Mathematical model on HIV and nutrition
Published in Journal of biological dynamics (31-12-2023)“…HIV continues to be a major global health issue, having claimed millions of lives in the last few decades. While several empirical studies support the fact…”
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Asymptotic analysis of a vector-borne disease model with the age of infection
Published in Journal of biological dynamics (01-01-2020)“…Vector-borne infectious diseases may involve both horizontal transmission between hosts and transmission from infected vectors to susceptible hosts. In this…”
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