Dynamics of an imprecise SIRS model with Levy jumps

被引：8

作者：

Bao, Kangbo ^{[1
]}

Zhang, Qimin ^{[1
]}

Rong, Libin ^{[2
]}

Li, Xining ^{[1
]}

机构：

[1] Ningxia Univ, Sch Math & Stat, Yinchuan 750021, Peoples R China

[2] Univ Florida, Dept Math, Gainesville, FL 32611 USA

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2019年 / 520卷

基金：

美国国家科学基金会;

关键词：

Stochastic SIRS epidemic model; Levy jumps; Interval number; Extinction; Persistence; SIS EPIDEMIC MODEL; THRESHOLD; EXTINCTION; BEHAVIOR; SYSTEM;

D O I：

10.1016/j.physa.2019.01.027

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Sudden environmental perturbations may affect population dynamics. Parameters of mathematical models can also be imprecise due to uncertainties and unknown data. How sudden environmental noise and parameter imprecision influence the dynamics of epidemic systems remains unclear. This paper studies a stochastic Susceptible-Infected-Recovered-Susceptible (SIRS) model that includes Levy jumps and interval parameters. We prove that the model has a unique global positive solution. Sufficient conditions for persistence and extinction of the disease are obtained. Large noise intensity is able to suppress the emergence of disease outbreaks. Numerical simulations are carried out to show the influence of stochastic noise on disease dynamics. These results suggest that Levy jumps and imprecise parameters can greatly affect the long-term behavior of the epidemic system. (C) 2019 Elsevier B.V. All rights reserved.

引用

页码：489 / 506

页数：18

共 32 条

[1] [Anonymous], 2001, STABILITY COMPLEXITY
[2] Applebaum D., 2009, LEVY PROCESSES STOCH, V116
[3] Competitive Lotka-Volterra population dynamics with jumps
Bao, Jianhai
Mao, Xuerong
Yin, Geroge
Yuan, Chenggui
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (17) : 6601 - 6616
[4] Stationary distribution and extinction of a stochastic SIRS epidemic model with information intervention
Bao, Kangbo
Zhang, Qimin
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2017, 2017
[5] Environmental variability in a stochastic epidemic model
Cai, Yongli
Jiao, Jianjun
Gui, Zhanji
Liu, Yuting
Wang, Weiming
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2018, 329 : 210 - 226
[6] Complex Dynamics of a host parasite model with both horizontal and vertical transmissions in a spatial heterogeneous environment
Cai, Yongli
Kang, Yun
Banerjee, Malay
Wang, Weiming
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 40 : 444 - 465
[7] Fish-hook bifurcation branch in a spatial heterogeneous epidemic model with cross-diffusion
Cai, Yongli
Wang, Weiming
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2016, 30 : 99 - 125
[8] A stochastic SIRS epidemic model with infectious force under intervention strategies
Cai, Yongli
Kang, Yun
Banerjee, Malay
Wang, Weiming
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 259 (12) : 7463 - 7502
[9] A mathematical study of an imprecise SIR epidemic model with treatment control
Das, Anjana
Pal, M.
[J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2018, 56 (1-2) : 477 - 500
[10] Diekmann O., 2000, Mathematical Epidemiology of Infectious Diseases: Model Building, Analysis and Interpretation, V5

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