| Volume 9, Number 6, 2019, Pages 2409-2435 DOI：10.11948/20190144 |
| Analysis of a predator-prey model with Crowley-Martin and modified Leslie-Gower schemes with stochastic perturbation |
| Yue Liu,Zhijun Zeng |
| Keywords:Stochastic, Crowley-Martin functional response, modified Leslie-Gower functional response, extinction, persistence. |
| Abstract: |
| In this paper, we study a nonautonomous predator-prey model with Crowley-Martin and modified Leslie-Gower schemes with stochastic perturbation. The existence of a global positive solution and stochastically ultimate boundedness are obtained. Sufficient conditions are established for extinction, persistence in the mean, and stochastic permanence of the system. Finally, simulations are carried out to verify our results. |
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