Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation |
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| Authors: | Chunyan Ji Daqing Jiang Ningzhong Shi |
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| Institution: | a School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, Jilin, PR China
b Department of Mathematics, Changshu Institute of Technology, Changshu 215500, Jiangsu, PR China |
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| Abstract: | In this paper, we consider a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation. We show there is a unique positive solution to the system with positive initial value, and mainly investigate the long time behavior of the system. Condition for the system to be extinct is given and persistent condition is established. At last, numerical simulations are carried out to support our results. |
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| Keywords: | Itô 's formula Persistent in mean Globally stable in time average Extinction |
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