Dynamics of a stochastic multigroup SEI epidemic model

IF 0.8 4区数学 Q3 MATHEMATICS, APPLIED

Stochastic Analysis and Applications Pub Date : 2021-07-25 DOI:10.1080/07362994.2021.1944876

Qun Liu, D. Jiang

引用次数: 2

Abstract

Abstract In this paper, we analyze the salient features of a stochastic multigroup SEI epidemic model. We obtain sufficient criteria for the existence and uniqueness of an ergodic stationary distribution of positive solutions to the system by establishing a series of suitable Lyapunov functions. In a biological viewpoint, the existence of a stationary distribution indicates that the diseases will be prevalent and persistent in the long term. In addition, we make up adequate conditions for complete eradication and wiping out of the diseases. Some numerical simulations are presented to illustrate our main results.

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随机多群SEI流行病模型的动力学

摘要在本文中，我们分析了一个随机多群SEI流行病模型的显著特征。通过建立一系列合适的李雅普诺夫函数，我们得到了系统正解遍历平稳分布存在唯一性的充分判据。从生物学的角度来看，平稳分布的存在表明这些疾病将长期流行和持续。此外，我们为彻底根除和消灭这些疾病创造了充分的条件。给出了一些数值模拟来说明我们的主要结果。

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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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.