| Volume 7, Number 2, 2017, Pages 713-727 DOI：10.11948/2017045 |
| Analysis of a stochastic two-predators one-prey system with modified Leslie-Gower and Holling-type II schemes |
| Yao Xu,Meng Liu,Yun Yang |
| Keywords:Two-predators one-prey model, stochastic noise, stability in time average, extinction, It\^{o}'s formula. |
| Abstract: |
| In this paper, we consider a stochastic two-predators one-prey model with modified Leslie-Gower and Holling-type II schemes. Analytically, we completely classify the parameter space into eight categories containing eleven cases. In each case, we show that every population is either stable in time average or extinct, depending on the parameters of the model. Finally, we work out some simulation figures to illustrate the theoretical results. |
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