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

被引：20

作者：

Lin, Yuguo ^{[1
]}

Jiang, Daqing ^{[2
]}

Jin, Manli ^{[1
]}

机构：

[1] Beihua Univ, Sch Math & Stat, Jilin 132013, Peoples R China

[2] China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2015年 / 35卷 / 03期

关键词：

Diffusion process; Markov semigroups; asymptotic stability; EPIDEMIC MODEL; DYNAMICS;

D O I：

10.1016/S0252-9602(15)30008-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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 L-1 to an invariant density.

引用

页码：619 / 629

页数：11

共 50 条

[1] STATIONARY DISTRIBUTION OF A STOCHASTIC SIR MODEL WITH SATURATED INCIDENCE AND ITS ASYMPTOTIC STABILITY
林玉国
蒋达清
靳曼莉
Acta Mathematica Scientia(English Series), 2015, 35 (03) : 619 - 629
[2] STATIONARY DISTRIBUTION OF A STOCHASTIC SIR MODEL WITH SATURATED INCIDENCE AND ITS ASYMPTOTIC STABILITY
林玉国
蒋达清
靳曼莉
Acta Mathematica Scientia, 2015, (03) : 619 - 629
[3] A remark on stationary distribution of a stochastic SIR epidemic model with double saturated rates
Zhang, Yan
Fan, Kuangang
Gao, Shujing
Chen, Shihua
APPLIED MATHEMATICS LETTERS, 2018, 76 : 46 - 52
[4] Stationary Distribution and Extinction of a Stochastic SIQR Model with Saturated Incidence Rate
Zhang, Qiuhua
Zhou, Kai
MATHEMATICAL PROBLEMS IN ENGINEERING, 2019, 2019
[5] Dynamics of a stochastic SIR epidemic model with saturated incidence
Liu, Qun
Chen, Qingmei
APPLIED MATHEMATICS AND COMPUTATION, 2016, 282 : 155 - 166
[6] Stationary distribution of a stochastic SIQR epidemic model with saturated incidence and degenerate diffusion
Lan, Guijie
Chen, Zhewen
Wei, Chunjin
Zhang, Shuwen
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 511 : 61 - 77
[7] A note on the stationary distribution of stochastic SEIR epidemic model with saturated incidence rate
Han, Qixing
Chen, Liang
Jiang, Daqing
SCIENTIFIC REPORTS, 2017, 7
[8] A note on the stationary distribution of stochastic SEIR epidemic model with saturated incidence rate
Qixing Han
Liang Chen
Daqing Jiang
Scientific Reports, 7
[9] Stationary distribution of a double epidemic stochastic model driven by saturated incidence rates
Selvan, T. Tamil
Kumar, M.
APPLIED MATHEMATICS AND COMPUTATION, 2024, 474
[10] GLOBAL ASYMPTOTIC STABILITY OF ENDEMIC EQUILIBRIA FOR A DIFFUSIVE SIR EPIDEMIC MODEL WITH SATURATED INCIDENCE AND LOGISTIC GROWTH
Chiyo, Yutaro
Tanaka, Yuya
Uchida, Ayako
Yokota, Tomomi
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023, 28 (03): : 2184 - 2210

← 1 2 3 4 5 →