An improvement of the extinction sufficient conditions for a higher-order stochastically disturbed AIDS/HIV model

Driss Kiouach, Salim El Azami El-idrissi and Yassine Sabbar

Applied Mathematics and Computation, 2023, vol. 447, issue C

Abstract: The principal purpose of this paper is to improve the extinction sufficient conditions of the higher-order perturbed multi-stage AIDS/HIV model proposed by Liu and Jiang in [1]. First, and by utilizing some novel and non-standard analytical techniques, we give a new extinction theorem of the said AIDS model. Then, we demonstrate that this new theorem is stronger and much more general than its homologue existing in [1]. Finally, we provide some simulations in order to bear out our theoretical results and clarify the impact of the adopted mathematical techniques on the findings.

Keywords: AIDS/HIV; White noise; Stochastic epidemic model; Staged progression compartmental model; Extinction (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:447:y:2023:i:c:s0096300323000462

DOI: 10.1016/j.amc.2023.127877

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