Optimal control analysis for modeling HIV transmission

Iranian Journal of Numerical Analysis and Optimization

مقاله 9، دوره 13، Issue 4 - شماره پیاپی 27، اسفند 2023، صفحه 747-762   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.2023.78096.1165

نویسنده

K. R. Cheneke^*

Department of Mathematics, Wollega University, Nekemte, Ethiopia.

چکیده

In this study, a modified model of HIV with therapeutic and preventive controls is developed. Moreover, a simple evaluation of the optimal control problem is investigated. We construct the Hamiltonian function by way of integrating Pontryagin’s maximal principle to achieve the point-wise optimal solution. The effects obtained from the version analysis strengthen public health education to a conscious population, PrEP for early activation of HIV infection prevention, and early treatment with artwork for safe life after HIV infection. Moreover, numerical simulations are done using the MATLAB platform to illustrate the qualitative conduct of the HIV infection. In the end, we receive that adhering to ART protective prone people, the usage of PrEP along with different prevention control is safer control measures.

کلیدواژه‌ها

HIV؛ Optimal control problem؛ Basic reproduction number, Numerical simulation

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