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Stability Analysis of Co-Infection of Malaria-Dengue

Stability Analysis of Co-Infection of Malaria-Dengue

Nisha Sheoran, Moksha H. Satia
Copyright: © 2020 |Pages: 40
ISBN13: 9781799837411|ISBN10: 1799837416|EISBN13: 9781799837428
DOI: 10.4018/978-1-7998-3741-1.ch007
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MLA

Sheoran, Nisha, and Moksha H. Satia. "Stability Analysis of Co-Infection of Malaria-Dengue." Mathematical Models of Infectious Diseases and Social Issues, edited by Nita H. Shah and Mandeep Mittal, IGI Global, 2020, pp. 138-177. https://doi.org/10.4018/978-1-7998-3741-1.ch007

APA

Sheoran, N. & Satia, M. H. (2020). Stability Analysis of Co-Infection of Malaria-Dengue. In N. Shah & M. Mittal (Eds.), Mathematical Models of Infectious Diseases and Social Issues (pp. 138-177). IGI Global. https://doi.org/10.4018/978-1-7998-3741-1.ch007

Chicago

Sheoran, Nisha, and Moksha H. Satia. "Stability Analysis of Co-Infection of Malaria-Dengue." In Mathematical Models of Infectious Diseases and Social Issues, edited by Nita H. Shah and Mandeep Mittal, 138-177. Hershey, PA: IGI Global, 2020. https://doi.org/10.4018/978-1-7998-3741-1.ch007

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Abstract

Dengue and malaria most commonly occur in tropical and sub-tropical areas. Dengue is a viral infection in a human being caused by a bite of a female aedes mosquito whereas malaria is caused by plasmodium parasite transmitted by a bite of infected mosquito. In this chapter, a mathematical model of co-infection of malaria and dengue is described by deterministic system of non-linear ordinary differential equations. This system considers the force of infection which is applied to dengue susceptible individuals. Moreover, two sub-models, namely malaria-only and dengue-only, are also constructed to study the transmission dynamics. Basic reproduction number is calculated for these models to investigate the existence of the models. The system is proved to be locally and globally stable at its equilibrium points. Stability of these models is also shown through numerical simulation.

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