Asymptotic behavior of a three species eco-epidemiological model perturbed by white noise

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:433

Article

Zhang, Qiumei^1,2  Jiang, Daqing¹  Liu, Zhenwen³  O'Regan, Donal^4,5 

[1] China Univ Petr East China, Coll Sci, Qingdao 266580, Peoples R China

[2] Changchun Univ, Sch Sci, Changchun 130022, Peoples R China

[3] Changchun Univ Technol, Sch Coll Basic Sci, Changchun 130021, Peoples R China

[4] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

[5] King Abdulaziz Univ, Dept Math, NAAM Res Grp, Jeddah 21413, Saudi Arabia

关键词: Stochastic differential equations;    Predator-prey;    Susceptible-infected disease models;    Globally asymptotically stable;    Asymptotically stable;   

DOI  :  10.1016/j.jmaa.2015.07.025

来源: Elsevier

【 摘 要 】

This paper considers a three species eco-epidemiological model perturbed by white noise. Stochastic stability and long time behavior around the equilibrium of deterministic eco-epidemiological model are analyzed by Lyapunov methods. Numerical simulations for a set of parameter values are presented to illustrate the analytical findings. (C) 2015 Elsevier Inc. All rights reserved.

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