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Dynamics of HIV/AIDS and TB Co-infection with Treatment Rate as Holling Type-II Function

In: Trends in Biomathematics: Modeling Cells, Flows, Epidemics, and the Environment

Author

Listed:
  • Rajiv Aggarwal

    (University of Delhi, Deshbandhu College)

  • Tanvi

    (University of Delhi, Department of Mathematics)

  • Tamas Kovacs

    (Eotvos University, Institute for Theoretical Physics)

Abstract

In this paper, an HIV-TB co-infection model is explored which incorporates non-linear treatment rate for TB. We begin with presenting an HIV-TB co-infection model and analyse both HIV and TB sub-models separately. The basic reproduction numbers corresponding to HIV-only, TB-only and HIV-TB full model are computed. The disease-free equilibrium point of the HIV sub-model is shown to be locally as well as globally asymptotically stable when its corresponding reproduction number is less than unity. On the other hand, for TB sub-model, the disease-free equilibrium point is locally asymptotically stable but may not be globally asymptotically stable. We have also analysed the full HIV-TB co-infection model. Numerical simulations are performed to explore the effect of treatment rate in the presence of resource limitation for TB infected individuals which emphasizes the fact that to reduce co-infection from the population, programmes to accelerate treatment of TB should be implemented.

Suggested Citation

  • Rajiv Aggarwal & Tanvi & Tamas Kovacs, 2020. "Dynamics of HIV/AIDS and TB Co-infection with Treatment Rate as Holling Type-II Function," Springer Books, in: Rubem P. Mondaini (ed.), Trends in Biomathematics: Modeling Cells, Flows, Epidemics, and the Environment, pages 343-358, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-46306-9_21
    DOI: 10.1007/978-3-030-46306-9_21
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