Impact of Treatment on HIV-Malaria CoInfection Based on Mathematical Modeling

  • Amit Kumar Saha Department of Mathematics, Dhaka University, Dhaka-1000, Bangladesh
  • Ashrafi Meher Niger Department of Mathematics, Dhaka University, Dhaka-1000, Bangladesh
  • Chandra Nath Podder Department of Mathematics, Dhaka University, Dhaka-1000, Bangladesh
Keywords: HIV, Malaria, Co-infection, Treatment

Abstract

The distribution of HIV and malaria overlap globally. So there is always a chance of co-infection. In this paper the impact of medication on HIV-Malaria co-infection has been analyzed and we have developed a mathematical model using the idea of the models of Mukandavire, et al. [13] and Barley, et al. [3] where treatment classes are included. The disease-free equilibrium (DFE) of the HIV-only model is globally-asymptotically stable (GAS) when the reproduction number is less than one. But it is shown that in the malaria-only model, there is a coexistence of stable disease-free equilibrium and stable endemic equilibrium, for a certain interval of the reproduction number less than unity. This indicates the existence of backward bifurcation. Numerical simulations of the full model are performed to determine the impact of treatment strategies. It is shown that malaria-only treatment strategy reduces more new cases of the mixed infection than the HIV-only treatment strategy. Moreover, mixed treatment strategy reduces the least number of new cases compared to single treatment strategies.

GANIT J. Bangladesh Math. Soc.Vol. 39 (2019) 45-62

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Abstract
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Published
2019-11-19
How to Cite
Saha, A., Niger, A., & Podder, C. (2019). Impact of Treatment on HIV-Malaria CoInfection Based on Mathematical Modeling. GANIT: Journal of Bangladesh Mathematical Society, 39, 45-62. https://doi.org/10.3329/ganit.v39i0.44165
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