| Volume 9, Number 1, 2019, Pages 1-11 DOI：10.11948/2019.1 |
| Stationary distribution and persistence of a stochastic predator-prey model with a functional response |
| Jingliang Lv,Heng Liu,Xiaoling Zou |
| Keywords:Predator-prey, stationary distribution, persistence in mean. |
| Abstract: |
| A stochastic predator-prey model with a functional response is investigated in this paper. The asymptotic properties of the stochastic model are considered here. Under some conditions, we show that the stochastic model is persistent in mean. Moreover, the existence of stationary distribution to the model is obtained. Simulations are also carried out to confirm our analytical results. |
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