The long time behavior of a predator–prey model with disease in the prey by stochastic perturbation
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摘要
In this paper, we formulate a predator–prey model with disease in the prey by stochastic perturbation. Using Lyapunov analysis methods we discuss the asymptotic behavior of this solution. Furthermore, we investigate whether that there exists a stationary distribution for this system and if it has the ergodic property. Finally we make simulations to illustrate our analytical results.
论文关键词:Asymptotically stable,Stationary distribution,Ergodicity
论文评审过程:Available online 20 August 2014.
论文官网地址:https://doi.org/10.1016/j.amc.2014.07.088