具有公众健康教育影响的随机传染病模型的非平凡周期解

doi:10.6040/j.issn.1671-9352.0.2020.519

《山东大学学报(理学版)》 ›› 2021, Vol. 56 ›› Issue (9): 28-34.doi: 10.6040/j.issn.1671-9352.0.2020.519

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具有公众健康教育影响的随机传染病模型的非平凡周期解

王琪,贾建文^*

山西师范大学数学与计算机科学学院, 山西临汾 041004

发布日期:2021-09-13
作者简介:王琪(1996— ), 女, 硕士研究生, 研究方向为生物数学. E-mail:215211228@qq.com*通信作者简介:贾建文(1963— ), 男, 硕士, 教授, 硕士生导师, 研究方向为生物数学. E-mail:jiajw.2008@163.com
基金资助:
山西省自然科学基金资助项目(201801D121011)

Nontrivial periodic solution of a stochastic non-autonomous SIS model with public health education

WANG Qi, JIA Jian-wen^*

School of Mathematics and Computer Science, Shanxi Normal University, Linfen 041004, Shanxi, China

Published:2021-09-13

摘要/Abstract

摘要： 建立并讨论了一个具有公众健康教育和周期系数的随机SIS传染病模型,首先研究了该模型中疾病的灭绝与持续性,然后,通过使用Hasminskiis 定理,得到该随机模型至少存在一个T-周期解的充分条件。

关键词: 公众健康教育, 周期解, 灭绝, 持续

Abstract: A stochastic SIS epidemic model with public health education and periodic parameters is considered. Firstly, the sufficient conditions for persistence and extinction of the disease are obtained. Then by using Hasminskiis theory, the sufficient conditions for existence of nontrivial periodic solutions to stochastic model is given.

Key words: public health education, periodic solution, extinction, persistence

中图分类号:

O175.12

王琪,贾建文. 具有公众健康教育影响的随机传染病模型的非平凡周期解[J]. 《山东大学学报(理学版)》, 2021, 56(9): 28-34.

WANG Qi, JIA Jian-wen. Nontrivial periodic solution of a stochastic non-autonomous SIS model with public health education[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2021, 56(9): 28-34.

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具有公众健康教育影响的随机传染病模型的非平凡周期解

Nontrivial periodic solution of a stochastic non-autonomous SIS model with public health education

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