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
相关论文
共 66 条
[1]   Transmission dynamics and elimination potential of zoonotic tuberculosis in morocco [J].
Abakar, Mahamat Fayiz ;
Azami, Hind Yahyaoui ;
Bless, Philipp Justus ;
Crump, Lisa ;
Lohmann, Petra ;
Laager, Mirjam ;
Chitnis, Nakul ;
Zinsstag, Jakob .
PLOS NEGLECTED TROPICAL DISEASES, 2017, 11 (02)
[2]  
Allen E., 2007, Modeling with Ito stochastic differential equations, V22
[3]  
ANDERSON R M, 1991
[4]  
Andersson H., 2002, Stochastic Epidemic Models and Their Statistical Analysis
[5]  
Applebaum D., 2009, LEVY PROCESS STOCHAS, DOI [10.1017/CBO9780511809781, DOI 10.1017/CBO9780511809781]
[6]   Non-linear transmission and simple models for bovine tuberculosis [J].
Barlow, ND .
JOURNAL OF ANIMAL ECOLOGY, 2000, 69 (04) :703-713
[7]   RECURRENCE RATES IN GENITAL HERPES AFTER SYMPTOMATIC FIRST-EPISODE INFECTION [J].
BENEDETTI, J ;
COREY, L ;
ASHLEY, R .
ANNALS OF INTERNAL MEDICINE, 1994, 121 (11) :847-854
[8]   Media effects on students during SARS outbreak [J].
Bergeron, SL ;
Sanchez, AL .
EMERGING INFECTIOUS DISEASES, 2005, 11 (05) :732-734
[9]   A STOCHASTIC SIRI EPIDEMIC MODEL WITH LEVY NOISE [J].
Berrhazi, Badr-Eddine ;
El Fatini, Mohamed ;
Caraballo, Tomas ;
Pettersson, Roger .
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2018, 23 (09) :3645-3661
[10]   A stochastic SIRS epidemic model incorporating media coverage and driven by Levy noise [J].
Berrhazi, Badr-eddine ;
El Fatini, Mohamed ;
Laaribi, Aziz ;
Pettersson, Roger ;
Taki, Regragui .
CHAOS SOLITONS & FRACTALS, 2017, 105 :60-68
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