Stochastic perturbation to 2-LTR dynamical model in HIV infected patients

M. Chinnadurai, Mohamed El Fatini and A. Rathinasamy

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 204, issue C, 473-497

Abstract: In this paper, we proposed the stochastic perturbation to study the HIV viral dynamical model. The stochastic epidemic model of 2-LTR HIV infected patients is considered and we prove that the stochastic model admits a unique globally positive solution7 which is bounded and permanent. Then we analyze the necessary conditions for extinction and persistence of the disease by selecting the appropriate Lyapunov functions. The theoretical findings are confirmed by using suitable numerical experiments.

Keywords: 2-LTR HIV; Basic reproduction number; Permanence; Extinction; Stationary distribution (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:204:y:2023:i:c:p:473-497

DOI: 10.1016/j.matcom.2022.08.019

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