具有饱和发病率和饱和处理函数的lsamvy跳跃驱动的随机SIR流行病模型动力学

IF 0.8 4区数学 Q3 MATHEMATICS, APPLIED

Stochastic Analysis and Applications Pub Date : 2021-10-10 DOI:10.1080/07362994.2021.1981382

A. El koufi, Jihad Adnani, A. Bennar, N. Yousfi

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引用次数: 11

摘要

摘要在本文中，我们考虑了一个具有饱和发生率和饱和处理函数的随机SIR模型，该模型包含Lévy噪声。首先，我们证明了该模型存在一个唯一的全局正解。我们用李雅普诺夫方法研究了自由平衡点E0的稳定性。我们给出了均值持续存在的充分条件。我们展示了确定性模型的局部平衡点附近解的动力学性质。此外，我们还展示了一些数值结果来证实我们的理论结果。

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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Dynamics of a stochastic SIR epidemic model driven by Lévy jumps with saturated incidence rate and saturated treatment function

Abstract In this article, we consider a stochastic SIR model with a saturated incidence rate and saturated treatment function incorporating Lévy noise. First, we prove the existence of a unique global positive solution to the model. We investigate the stability of the free equilibria E 0 by using the Lyapunov method. We give sufficient conditions for the persistence in the mean. We show the dynamic properties of the solution around endemic equilibria point of the deterministic model. Moreover, we display some numerical results to confirm our theoretical results.

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来源期刊

Stochastic Analysis and Applications 数学-统计学与概率论

CiteScore

2.70

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： Stochastic Analysis and Applications presents the latest innovations in the field of stochastic theory and its practical applications, as well as the full range of related approaches to analyzing systems under random excitation. In addition, it is the only publication that offers the broad, detailed coverage necessary for the interfield and intrafield fertilization of new concepts and ideas, providing the scientific community with a unique and highly useful service.