ArticleResults in physics2022
Backward bifurcation and optimal control in a co-infection model for SARS-CoV-2 and ZIKV.
Article in Results in physics, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 12 papers.
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Who cites it
12 citing papers in PubMed.
- Resurgence in focus: Covid-19 dynamics and optimal control frameworks.Global epidemiology · 2025Article
- Exploring Zika's dynamics: A scoping review journey from epidemic to equations through mathematical modelling.Infectious Disease Modelling · 2025Review
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- Article
- Dynamics of the optimality control of transmission of infectious disease: a sensitivity analysis.Scientific reports · 2024Article
- The stability analysis of a co-circulation model for COVID-19, dengue, and zika with nonlinear incidence rates and vaccination strategies.Healthcare analytics (New York, N.Y.) · 2023Article
- Co-infection dynamics of COVID-19 and HIV/AIDS.Scientific reports · 2023Article
- Modelling the dynamics of acute and chronic hepatitis B with optimal control.Scientific reports · 2023Article
- Role of immigration and emigration on the spread of COVID-19 in a multipatch environment: a case study of India.Scientific reports · 2023Article
- Modeling SARS-CoV-2 and HBV co-dynamics with optimal control.Physica A · 2023Article
- Global asymptotic stability, extinction and ergodic stationary distribution in a stochastic model for dual variants of SARS-CoV-2.Mathematics and computers in simulation · 2023Article
- An optimal control model for COVID-19, zika, dengue, and chikungunya co-dynamics with reinfection.Optimal control applications & methods · 2022Article
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3 authors.
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Abstract
In co-infection models for two diseases, it is mostly claimed that, the dynamical behavior of the sub-models usually predict or drive the behavior of the complete models. However, under a certain assumption such as, allowing incident co-infection with both diseases, we have a different observation. In this paper, a new mathematical model for SARS-CoV-2 and Zika co-dynamics is presented which incorporates incident co-infection by susceptible individuals. It is worth mentioning that the assumption is missing in many existing co-infection models. We shall discuss the impact of this assumption on the dynamics of a co-infection model. The model also captures sexual transmission of Zika virus. The positivity and boundedness of solution of the proposed model are studied, in addition to the local asymptotic stability analysis. The model is shown to exhibit backward bifurcation caused by the disease-induced death rates and parameters associated with susceptibility to a second infection by those singly infected. Using Lyapunov functions, the disease free and endemic equilibria are shown to be globally asymptotically stable for
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