一类具有一般非线性发生率的随机离散SIVS流行病模型的稳定性

IF 2.6 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Modelling and Control Pub Date : 2022-12-23 DOI:10.15388/namc.2023.28.29928

Buyu Wen, Z. Teng, Bing Liu

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引用次数: 0

摘要

本文基于Euler–Marriama方法和随机过程理论，通过添加随机扰动，然后离散相应的随机微分方程模型，提出了一个具有一般非线性发病率和疫苗接种的随机离散SIVS流行病模型。首先，得到了连续和离散确定性SIVS流行病模型的基本性质。然后，建立了一般线性随机差分系统零解的渐近均方稳定性判据。作为该准则的应用，得到了随机离散SIVS流行病模型无病和地方病均衡概率稳定的充分条件。通过数值模拟对理论结果进行了说明。

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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The stability of a stochastic discrete SIVS epidemic model with general nonlinear incidence

In this paper, based on Euler–Marryama method and theory of stochastic processes, a stochastic discrete SIVS epidemic model with general nonlinear incidence and vaccination is proposed by adding random perturbation and then discretizing the corresponding stochastic differential equation model. Firstly, the basic properties of continuous and discrete deterministic SIVS epidemic models are obtained. Then a criterion on the asymptotic mean-square stability of zero solution for a general linear stochastic difference system is established. As the applications of this criterion, the sufficient conditions on the stability in probability of the disease-free and endemic equilibria for the stochastic discrete SIVS epidemic model are obtained. The numerical simulations are given to illustrate the theoretical results.

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来源期刊

Nonlinear Analysis-Modelling and Control MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

3.80

自引率

10.00%

发文量

审稿时长

9.6 months

期刊介绍： The scope of the journal is to provide a multidisciplinary forum for scientists, researchers and engineers involved in research and design of nonlinear processes and phenomena, including the nonlinear modelling of phenomena of the nature. The journal accepts contributions on nonlinear phenomena and processes in any field of science and technology. The aims of the journal are: to provide a presentation of theoretical results and applications; to cover research results of multidisciplinary interest; to provide fast publishing of quality papers by extensive work of editors and referees; to provide an early access to the information by presenting the complete papers on Internet.