具有HollingⅡ型发病率的随机延迟SIS流行病模型

IF 0.5 4区数学 Q4 STATISTICS & PROBABILITY

Stochastic Models Pub Date : 2022-12-22 DOI:10.1080/15326349.2022.2155666

Wenxu Dong, Jia-ning Zhou, Biteng Xu

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引用次数: 0

摘要

摘要本文研究了一个具有常时滞和HollingⅡ型发病率的随机SIS流行病模型。我们首先证明了全局正解的存在性、唯一性和矩有界性。然后将初值空间推广到一个完全的非负连续函数空间，得到了该系统不变测度的存在性。此外，还分析了无病平衡点附近的渐近行为。为了证明这一点，我们提供了一些数值例子来说明我们的结果。

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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A stochastic delayed SIS epidemic model with Holling type II incidence rate

Abstract In this article, a stochastic SIS epidemic model with constant time delay and Holling type II incidence rate is investigated. We firstly show the existence, uniqueness, and moment boundedness of the global positive solution. Then we extend the initial value space to a complete nonnegative continuous function space and obtain the existence of invariant measures for this system. Furthermore, the analysis of the asymptotic behavior around the disease-free equilibrium is given. To demonstrate, some numerical examples are provided to illustrate our results.

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来源期刊

Stochastic Models 数学-统计学与概率论

CiteScore

1.30

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Stochastic Models publishes papers discussing the theory and applications of probability as they arise in the modeling of phenomena in the natural sciences, social sciences and technology. It presents novel contributions to mathematical theory, using structural, analytical, algorithmic or experimental approaches. In an interdisciplinary context, it discusses practical applications of stochastic models to diverse areas such as biology, computer science, telecommunications modeling, inventories and dams, reliability, storage, queueing theory, mathematical finance and operations research.