Dynamical behavior of a stochastic predator-prey model with stage structure for prey |
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| Authors: | Qun Liu Tasawar Hayat Ahmed Alsaedi Bashir Ahmad |
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| Affiliation: | 1. School of Mathematics and Statistics, Key Laboratory of Applied Statistics of MOE, Northeast Normal University, Changchun, Jilin Province, P.R. China;2. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, King Abdulaziz University, Jeddah, Saudi Arabia |
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| Abstract: | AbstractIn the present paper, we focus on a stochastic predator-prey model with stage structure for prey. Firstly, by using the stochastic Lyapunov function method, we obtain sufficient conditions for the existence and uniqueness of an ergodic stationary distribution of the positive solutions to the model. Then we establish sufficient conditions for extinction of the predator population in two cases. Some examples and numerical simulations are carried out to validate our analytical findings. |
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| Keywords: | Stage-structure population model stochastic perturbations stationary distribution ergodicity extinction |
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