A STOCHASTIC SIRI EPIDEMIC MODEL WITH LEVY NOISE

被引：50

作者：

Berrhazi, Badr-Eddine ^{[1
]}

El Fatini, Mohamed ^{[1
]}

Caraballo, Tomas ^{[2
]}

Pettersson, Roger ^{[3
]}

机构：

[1] Univ Ibn Tofail, Fac Sci, Dept Math, BP 133, Kenitra, Morocco

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

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

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2018年 / 23卷 / 09期

关键词：

SIRI epidemic model; Levy process; white noise; GLOBAL DYNAMICS; STATIONARY DISTRIBUTION; EXTINCTION; STABILITY; DISEASES; LATENCY; TUBERCULOSIS; COMPUTATION; PERSISTENCE; RECURRENCE;

D O I：

10.3934/dcdsb.2018057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some diseases such as herpes, bovine and human tuberculosis exhibit relapse in which the recovered individuals do not acquit permanent immunity but return to infectious class. Such diseases are modeled by SIRI models. In this paper, we establish the existence of a unique global positive solution for a stochastic epidemic model with relapse and jumps. We also investigate the dynamic properties of the solution around both disease-free and endemic equilibria points of the deterministic model. Furthermore, we present some numerical results to support the theoretical work.

引用

页码：3645 / 3661

页数：17

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