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
收藏
页码：3483 / 3501
页数：19
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