[1]李海燕,韦煜明,彭华勤.白噪声干预下的随机SIQS传染病模型的灭绝性与持久性分析[J].西华师范大学学报(自然科学版),2019,40(04):359-366.[doi:10.16246/j.issn.1673-5072.2019.04.006]
 LI Haiyan,WEI Yuming,PENG Huaqin.The Extinction and Persistence of Stochastic SIQS Epidemic Model under White Noise Intervention[J].Journal of China West Normal University(Natural Sciences),2019,40(04):359-366.[doi:10.16246/j.issn.1673-5072.2019.04.006]
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白噪声干预下的随机SIQS传染病模型的灭绝性与持久性分析

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《西华师范大学学报(自然科学版)》[ISSN:1673-5072/CN:51-1699/N]

卷:
40
期数:
2019年04期
页码:
359-366
栏目:
出版日期:
2019-12-20

文章信息/Info

Title:

The Extinction and Persistence of Stochastic SIQS Epidemic Model under White Noise Intervention

作者:

李海燕韦煜明彭华勤

( 广西师范大学 数学与统计学院,广西 桂林541004)

Author(s):

LI HaiyanWEI YumingPENG Huaqin

(College of Mathematics and Statistics,Guangxi Normal University,Guilin Guangxi 541004,China)

关键词:

传染病模型 随机基本再生数 Markov半群 灭绝性 持久性

Keywords:

epidemicmodelstochastic basic reproduction numberMarkov seimigroupsextinctionpersistence

分类号:
O211.63
DOI:
10.16246/j.issn.1673-5072.2019.04.006
文献标志码:
A
摘要:

对在白噪声干预下的随机SIQS传染病模型的持久性与灭绝性进行了分析。通过构造合适的Lyapunov函数,利用Ito䦟Euclid ExtrazB@公式和Markov半群理论等相关随机微分方程的理论知识,研究了随机SIQS传染病模型的动力学行为,得到了传染病模型全局正解的存在唯一性以及疾病持久和灭绝的条件。同时探讨了环境白噪声对疾病爆发的影响,环境噪声会影响疾病的流行,大的白噪声强度会抑制疾病的爆发,并且通过数值模拟验证了所得结果。

Abstract:

In this paper,the extinction and persistence of stochastic SIQS epidemic model under white noise intervention is analyzed.Dynamics behavior of stochastic SIQS epidemic model is studied by constructing suitable Lyapunov function and employing related theoretic knowledge of stochastic differential equations like Ito䦟Euclid ExtrazB@ formula,Markov semigroup theory and so on.The unique existence of global positive solutions and the conditions of disease persistence and extinction are obtained.Meanwhile,the impact of environmental white noise on disease outbreak is explored.The results show that environmental noise will affect the prevalence of disease and higher intensity white noise will suppress disease outbreak.Some numerical simulations are carried out to support the results.

备注/Memo

备注/Memo:

收稿日期:2019-02-26
基金项目:国家自然科学基金项目(11771104,11701113);广西自然基金资助项目(2018GXNSFAA294084,2018GXNSFBA281140);广西研究生教育创新计划项目(XYCSZ2019083,JGY2019030)
作者简介:李海燕(1991—)女,四川巴中人,硕士研究生,主要从事生物数学研究。E-mail:917416930@qq.com
通信作者:韦煜明(1974—)男,广西桂平人,博士,教授,硕士生导师,主要从事生物数学研究。E-mail:ymwei@gxnu.edu.cn

更新日期/Last Update: 2019-12-25