title: The stability of a predator-prey system with linear mass-action functional response perturbed by white noise.
abstract: The present paper deals with the problem of an ecoepidemiological model with linear mass-action functional response perturbed by white noise. The essential mathematical features are analyzed with the help of the stochastic stability, its long time behavior around the equilibrium of deterministic ecoepidemiological model, and the stochastic asymptotic stability by Lyapunov analysis methods. Numerical simulations for a hypothetical set of parameter values are presented to illustrate the analytical findings.
authors.affiliation: School of Science, Changchun University, Changchun, 130022 China.
authors.forename: Qiumei
authors.initials: Q
authors.lastname: Zhang
authors.affiliation: Department of Mathematics, Yanbian University, Yanji, 133002 China.
authors.forename: Xiangdan
authors.initials: X
authors.lastname: Wen
authors.affiliation: College of Science, China University of Petroleum (East China), Qingdao, 266580 China ; Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, King Abdulaziz University, Jeddah, Saudi Arabia.
authors.forename: Daqing
authors.initials: D
authors.lastname: Jiang
authors.affiliation: School of College of Basic Sciences, Changchun University of Technology, Changchun, 130021 China.
authors.forename: Zhenwen
authors.initials: Z
authors.lastname: Liu
keywords: asymptotically stable; linear mass-action functional response; stochastically asymptotically stable