Effect of Treatment and Awareness on HIV/AIDS 
Epidemic Model

Debashis Biswas

doi:https://doi.org/10.14445/22315373/IJMTT-V70I1P105

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 70 | Issue 1 | Year 2024 | Article Id. IJMTT-V70I1P105 | DOI : https://doi.org/10.14445/22315373/IJMTT-V70I1P105

Effect of Treatment and Awareness on HIV/AIDS Epidemic Model

Debashis Biswas

Received	Revised	Accepted	Published
02 Dec 2023	05 Jan 2024	18 Jan 2024	31 Jan 2024

Abstract

Here an HIV/AIDS epidemical model has been taken with awareness and treatment. The disease spreadsin a variable size population through a horizontal transmission that is by contact. The equilibrium points of the reckon model are found and their stability is investigated. The basic reproductive numbers of the proposed model have been calculated using the nextgeneration matrix technique, which plays an important role in discussing the model. When the basic reproductive number R0, its value is less than one disease-free equilibrium E0 is locally asymptotically stable and unstable while R0 > 1. If R0 > 1, then the endemic equilibrium point 𝐸 ∗ is asymptotically stable, which is calculated using the Jacobian matrix. Also, discuss the effect of treatment and awareness with the help of sensitivity analysis. Finally, find out some sensitive parameters that are more reliable to decrease disease transmission. The considered model has been solved numerically and the model’s numerical solution justifies the analytical outcomes.

Keywords

HIV/AIDS Epidemic, Basic Reproductive Number, Local Stability, Aware- ness, Treatment, and Numerical Outcomes.

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Citation :

Debashis Biswas, "Effect of Treatment and Awareness on HIV/AIDS Epidemic Model," International Journal of Mathematics Trends and Technology (IJMTT), vol. 70, no. 1, pp. 40-48, 2024. Crossref, https://doi.org/10.14445/22315373/IJMTT-V70I1P105