The influence of Lévy noise on the dynamical behavior of a stochastic HIV/AIDS model with vertical transmission

IF 2.4 3区数学 Q1 MATHEMATICS

Journal of Applied Mathematics and Computing Pub Date : 2024-05-09 DOI:10.1007/s12190-024-02107-2

K. Ponmari, M. Senthilkumaran, M. Pitchaimani

引用次数: 0

Abstract

This paper examined the behavior of the HIV/AIDS epidemic stochastic model driven by both White Noise and Lévy jumps. Initially, we demonstrated that the stochastic model under consideration has one and only one positive solution which exists globally. Based on the analytical results on the model, we obtained the threshold parameters which are responsible for the eradication and the permanence of the disease. Finally, we verified our analytical results numerically.

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莱维噪声对垂直传播随机艾滋病毒/艾滋病模型动态行为的影响

本文研究了由白噪声和勒维跳跃驱动的艾滋病毒/艾滋病流行病随机模型的行为。首先，我们证明了所考虑的随机模型有且仅有一个全局存在的正解。根据对模型的分析结果，我们得到了导致疾病根除和持久存在的阈值参数。最后，我们对分析结果进行了数值验证。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Applied Mathematics and Computing Mathematics-Computational Mathematics

CiteScore

4.20

自引率

4.50%

发文量

131

期刊介绍： JAMC is a broad based journal covering all branches of computational or applied mathematics with special encouragement to researchers in theoretical computer science and mathematical computing. Major areas, such as numerical analysis, discrete optimization, linear and nonlinear programming, theory of computation, control theory, theory of algorithms, computational logic, applied combinatorics, coding theory, cryptograhics, fuzzy theory with applications, differential equations with applications are all included. A large variety of scientific problems also necessarily involve Algebra, Analysis, Geometry, Probability and Statistics and so on. The journal welcomes research papers in all branches of mathematics which have some bearing on the application to scientific problems, including papers in the areas of Actuarial Science, Mathematical Biology, Mathematical Economics and Finance.