STATIONARY DISTRIBUTION OF A STOCHASTIC SIR MODEL WITH SATURATED INCIDENCE AND ITS ASYMPTOTIC STABILITY

doi:10.1016/S0252-9602(15)30008-4

数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (3): 619-629.doi: 10.1016/S0252-9602(15)30008-4

STATIONARY DISTRIBUTION OF A STOCHASTIC SIR MODEL WITH SATURATED INCIDENCE AND ITS ASYMPTOTIC STABILITY

林玉国¹, 蒋达清², 靳曼莉³

1. School of Mathematics and Statistics, Beihua University, Jilin 132013, China;
2. College of Science, China University of Petroleum(East China), Qingdao 266580, China;
3. School of Mathematics and Statistics, Beihua University, Jilin 132013, China

收稿日期:2014-02-27 修回日期:2014-10-08 出版日期:2015-05-01 发布日期:2015-05-01
基金资助:
The work was supported by Program for Changjiang Scholars and Innovative Research Team in University, NSFC of China (11371085 and 11201008), and the Ph.D. Programs Foundation of Ministry of China (200918).

STATIONARY DISTRIBUTION OF A STOCHASTIC SIR MODEL WITH SATURATED INCIDENCE AND ITS ASYMPTOTIC STABILITY

Yuguo LIN¹, Daqing JIANG², Manli JIN³

1. School of Mathematics and Statistics, Beihua University, Jilin 132013, China;
2. College of Science, China University of Petroleum(East China), Qingdao 266580, China;
3. School of Mathematics and Statistics, Beihua University, Jilin 132013, China

Received:2014-02-27 Revised:2014-10-08 Online:2015-05-01 Published:2015-05-01
Supported by:
The work was supported by Program for Changjiang Scholars and Innovative Research Team in University, NSFC of China (11371085 and 11201008), and the Ph.D. Programs Foundation of Ministry of China (200918).

摘要/Abstract

摘要：

In this article, we consider a stochastic SIR model and show that the distributions of the solutions of the system are absolutely continuous. Furthermore, we analyze long-time behaviour of densities of the distributions of the solution. We prove that the densities can converge in L¹ to an invariant density.

关键词: Diffusion process, Markov semigroups, asymptotic stability

Abstract:

Key words: Diffusion process, Markov semigroups, asymptotic stability

中图分类号:

47D07

林玉国, 蒋达清, 靳曼莉. STATIONARY DISTRIBUTION OF A STOCHASTIC SIR MODEL WITH SATURATED INCIDENCE AND ITS ASYMPTOTIC STABILITY[J]. 数学物理学报(英文版), 2015, 35(3): 619-629.

Yuguo LIN, Daqing JIANG, Manli JIN . STATIONARY DISTRIBUTION OF A STOCHASTIC SIR MODEL WITH SATURATED INCIDENCE AND ITS ASYMPTOTIC STABILITY[J]. Acta mathematica scientia,Series B, 2015, 35(3): 619-629.

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STATIONARY DISTRIBUTION OF A STOCHASTIC SIR MODEL WITH SATURATED INCIDENCE AND ITS ASYMPTOTIC STABILITY

STATIONARY DISTRIBUTION OF A STOCHASTIC SIR MODEL WITH SATURATED INCIDENCE AND ITS ASYMPTOTIC STABILITY

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