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

作者：Zhang, Qiumei; Jiang, Daqing^*; Liu, Zhenwen; O'Regan, Donal

来源：Journal of Mathematical Analysis and Applications, 2016, 433(1): 121-148.

DOI：10.1016/j.jmaa.2015.07.025

• Stochastic differential equations
• Predator-prey
• Susceptible-infected disease models
• Globally asymptotically stable
• Asymptotically stable

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.

• 出版日期2016-1-1
• 单位中国石油大学（华东）; 长春大学; 长春工业大学