Media effects on the dynamics of a stochastic SIRI epidemic model with relapse and Levy noise perturbation

被引：12
作者：
Berrhazi, Badr-Eddine [1 ]
El Fatini, Mohamed [1 ]
Pettersson, Roger [2 ]
Laaribi, Aziz [3 ]
机构：
[1] Ibn Tofail Univ, Dept Math, BP 133, Kenitra, Morocco
[2] Linnaeus Univ, Dept Math, S-35195 Vaxjo, Sweden
[3] Sultan Moulay Slimane Univ, Polydisciplinary Fac, BP 592, Beni Mellal, Morocco
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2019年 / 12卷 / 03期
关键词：
Dynamics; Levy process; white noise; relapse; media coverage; GLOBAL STABILITY; STATIONARY DISTRIBUTION; SIS; DRIVEN; IMPACT; TUBERCULOSIS; TRANSMISSION; RECURRENCE; COVERAGE; LATENCY;
D O I：
10.1142/S1793524519500372
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we study the dynamic properties of an SIRI epidemic model incorporating media coverage, and stochastically perturbed by a Levy noise. We establish the existence of a unique global positive solution. We investigate the dynamic properties of the solution around both disease-free and endemic equilibria points of the deterministic model depending on the basic reproduction number under some noise excitation. Furthermore, we present some numerical simulations to support the theoretical results.
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页数：21
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