A stochastically perturbed HIV-1 and HIV-2 epidemic model with drug resistance

Youssra Hajri, El Mehdi Farah, Amina Allali, Saida Amine

Abstract


In this paper, a stochastic HIV-1 and HIV-2 epidemic model with drug resistance is presented to study the effect of white noise intensities. We firstly prove the existence and uniqueness of the global positive solution for the proposed stochastic model. The extinction of our studied disease is derived with sufficient conditions. In addition, the persistence in the mean of the infection is also established. Finally, numerical simulations for different noises disturbance are performed to illustrate the performance of our theoretical study.

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Published: 2023-11-21

How to Cite this Article:

Youssra Hajri, El Mehdi Farah, Amina Allali, Saida Amine, A stochastically perturbed HIV-1 and HIV-2 epidemic model with drug resistance, Commun. Math. Biol. Neurosci., 2023 (2023), Article ID 124

Copyright © 2023 Youssra Hajri, El Mehdi Farah, Amina Allali, Saida Amine. 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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