Dynamics of a stochastic three species prey-predator model with intraguild predation |
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Authors: | Rong Liu and Guirong Liu |
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Institution: | School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi 030006, China and School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi 030006, China |
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Abstract: | Intraguild predation is ubiquitous in many ecological communities. This paper is concerned with a stochastic three species prey-predator model with intraguild predation. The model involves a prey, an intermediate predator which preys on only prey and an omnivorous top predator which preys on both prey and intermediate predator. First, we show the existence of a unique positive global solution of the model. Then we mainly establish the sufficient conditions for the extinction and persistence in the mean of each population. Moreover, we show that the model is stable in distribution. Finally, some numerical simulations are given to illustrate the main results. |
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Keywords: | Stochastic food-web model predator-prey intraguild predation stability in distribution |
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