A holistic exploration of the optimal control strategies on an enhanced mathematical model for the co-infection of HIV/AIDS and varicella-zoster.

Autor:	Kotola BS; Department of Mathematics, Oda Bultum University, Chiro, Ethiopia., Teklu SW; Department of Mathematics, Natural and Computational Sciences, Debre Berhan University, Ethiopia.
Jazyk:	angličtina
Zdroj:	Heliyon [Heliyon] 2024 May 22; Vol. 10 (11), pp. e31760. Date of Electronic Publication: 2024 May 22 (Print Publication: 2024).
DOI:	10.1016/j.heliyon.2024.e31760
Abstrakt:	Because of its high contagiousness and correlation with HIV/AIDS complaints, the virus that causes varicella-zoster virus and its interactions have major consequences for a considerable portion of people worldwide. The primary aim of this work is to suggest and examine optimal control methods for managing the transmission dynamics of HIV/AIDS and Varicella-Zoster co-infection, using an integer model approach. The mathematical analyses of the proposed integer order model places particular emphases on the boundedness and non-negativity of the model solutions, scrutinizing equilibrium points, determining the models basic reproduction ratios (the models basic reproduction numbers) through the next-generation matrix operator method, and assessing the model equilibrium points existences and stabilities in local approach by considering the local stability conditions of Routh and Hurwitz. Additionally, it incorporates an optimal control framework to enhance our understanding of the dynamics involved in the spreading of HIV/AIDS and Varicella-Zoster co-infection within a considered population. This entails determining preventative measures that can be deliberately put into place to lessen the effects of these co-infections. The solutions of the HIV/AIDS and Varicella-Zoster co-infection model converges to the co-infection endemic equilibrium point whenever the associated basic reproduction number is greater than unity, as verified by numerical simulation results. Including optimal management gives the research an innovative viewpoint and helps identify tactical ways to mitigate the negative effects of this co-infection on the public health. The results highlight how crucial it is to address these complex structures in order to protect and improve public health outcomes. Implementing the proposed protection measures and treatment measures simultaneously has most effective result to minimize and eliminate the HIV/AIDS and Varicella-Zoster co-infection disease throughout the population. Competing Interests: The authors wish to declare that no specific financial or non-financial support was provided by any third party for the work reported in this manuscript. Additionally, none of the authors have received consulting fees, honoraria, or any other financial benefits from entities related to the subject matter of this manuscript within the past three years. Furthermore, none of the authors hold any patents, copyrights, or other intellectual property rights relevant to the work described in this manuscript. We affirm that there are no other potential competing interests that could influence the outcomes or interpretations presented in this study. (© 2024 The Authors.)
Databáze:	MEDLINE
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