A STOCHASTIC SIRI EPIDEMIC MODEL WITH RELAPSE AND MEDIA COVERAGE

被引：51

作者：

Caraballo, Tomas ^{[1
]}

El Fatini, Mohamed ^{[2
]}

Pettersson, Roger ^{[3
]}

Taki, Regragui ^{[2
]}

机构：

[1] Univ Seville, Fac Matemat, Dept Ecuac Diferenciales & Anal Numer, C Tarfia S-N, E-41012 Seville, Spain

[2] Ibn Tofail Univ, FS Dept Math, BP 133, Kenitra, Morocco

[3] Linnaeus Univ, Dept Math, S-35195 Vaxjo, Sweden

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2018年 / 23卷 / 08期

关键词：

Epidemic model; media coverage; stochastic process; stationary distribution; ergodicity; GLOBAL STABILITY; NONLINEAR INCIDENCE; LYAPUNOV FUNCTIONS; DYNAMICS; LATENCY; SYSTEM; IMPACT;

D O I：

10.3934/dcdsb.2018250

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work is devoted to investigate the existence and uniqueness of a global positive solution for a stochastic epidemic model with relapse and media coverage. We also study the dynamical properties of the solution around both disease-free and endemic equilibria points of the deterministic model. Furthermore, we show the existence of a stationary distribution. Numerical simulations are presented to confirm the theoretical results.

引用

页码：3483 / 3501

页数：19

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