ANALYSIS OF A STOCHASTIC TWO-PREDATORS ONE-PREY SYSTEM WITH MODIFIED LESLIE-GOWER AND HOLLING-TYPE Ⅱ SCHEMES

Yao Xu; Meng Liu; Yun Yang

doi:10.11948/2017045

2017 Volume 7 Issue 2

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Yao Xu, Meng Liu, Yun Yang. ANALYSIS OF A STOCHASTIC TWO-PREDATORS ONE-PREY SYSTEM WITH MODIFIED LESLIE-GOWER AND HOLLING-TYPE Ⅱ SCHEMES[J]. Journal of Applied Analysis & Computation, 2017, 7(2): 713-727. doi: 10.11948/2017045

Citation:

Yao Xu, Meng Liu, Yun Yang. ANALYSIS OF A STOCHASTIC TWO-PREDATORS ONE-PREY SYSTEM WITH MODIFIED LESLIE-GOWER AND HOLLING-TYPE Ⅱ SCHEMES[J]. Journal of Applied Analysis & Computation, 2017, 7(2): 713-727. doi: 10.11948/2017045

ANALYSIS OF A STOCHASTIC TWO-PREDATORS ONE-PREY SYSTEM WITH MODIFIED LESLIE-GOWER AND HOLLING-TYPE Ⅱ SCHEMES

1 School of Mathematical Science, Huaiyin Normal University, Huaian 223300, China;
2 School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China

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Abstract

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.
- Two-predators one-prey model /
- stochastic noise /
- stability in time average /
- extinction /
- Itô's formula
MSC: 60H10;60H30;92D25

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References

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