An HIV / AIDS Epidemic Model with Non-Linear Saturated Incidence Rate and Treatment

Debashis Biswas

Abstract: In this paper, take an HIV/AIDS epidemic model with a non-linear saturated incidence rate, awareness, and treatment. The model approves that some infected individuals move from the infected class to the treatment class. First, formulate the model and find its basic reproduction number. Mathematical analyses establish that this kind of truly infectious disease is spreading globally it completely depends on the basic reproduction numberR_0. WhenR_0<1, the disease-free equilibrium is stable locally. Whether? R?_0>1, the endemic equilibrium point is stable locally. Also, the study mentions that the desirable sensitive parameters that can control disease transmission are awareness and treatment of the infected individuals at an early stage. Finally, we find the model's numerical solution which support the analytical outcomes.

Keywords: Mathematical model, Non-linear incidence, Basic reproductive number, Local Stability, Treatment, Awareness

How to Cite?: Debashis Biswas, "An HIV / AIDS Epidemic Model with Non-Linear Saturated Incidence Rate and Treatment", Volume 13 Issue 2, February 2024, International Journal of Science and Research (IJSR), Pages: 1124-1129, https://www.ijsr.net/getabstract.php?paperid=SR24212133451, DOI: https://dx.doi.org/10.21275/SR24212133451