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HIV/AIDS Mathematical Model of Triangle Transmission
Version 1
: Received: 28 October 2022 / Approved: 28 October 2022 / Online: 28 October 2022 (07:05:39 CEST)
A peer-reviewed article of this Preprint also exists.
Espitia Morillo, C.C.; Meyer, J.F.C.A. HIV/AIDS Mathematical Model of Triangle Transmission. Viruses 2022, 14, 2749. Espitia Morillo, C.C.; Meyer, J.F.C.A. HIV/AIDS Mathematical Model of Triangle Transmission. Viruses 2022, 14, 2749.
Abstract
In this paper mathematical analysis of the HIV/AIDS deterministic model exposed in [Espitia, C. et. al. Mathematical Model of HIV/AIDS Considering Sexual Preferences Under Antiretroviral Therapy, a Case Study in San Juan de Pasto, Colombia, Journal of Computational Biology 29 (2022) 483–493] is made. The objective is to gain insight into the qualitative dynamics of the model determining the conditions for the persistence or effective control of the disease in the community through the study of basic properties such as positiveness and boundedness, calculus of basic reproduction number, stationary points such as disease free equilibrium (DFE), boundary equilibrium (BE) and endemic equilibrium (EE) are calculated, local stability (LAS) of disease free equilibrium. It research allow to conclude that the best way to reduce contagion and consequently to reach a DFE is thought to be the reduction of homosexual partners rate as they are the most affected population by the virus, and are therefore the most likely to become infected and to spread the infection. Increasing the departure rate of infected individuals, leads to a decrease in untreated infected heterosexual men and untreated infected women.
Keywords
HIV/AIDS Mathematical Model; Basic Reproduction Number; Stationary Points; Local and Global Stability Analysis.
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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