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Analysis on stochastic food-web model with intraguild predation and mixed functional responses

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  • Liu, Rong
  • Liu, Guirong

Abstract

In this paper, we consider a stochastic three species model consisting of prey, intermediate predator and top predator with intraguild predation. Here we consider Holling type-II functional response between intermediate predator and top predator and other functional responses are assumed to be linear. Firstly, we show that the model has a unique global positive solution. Next, the properties of the solution, such as the pathwise estimation and stochastic ultimate boundedness, are studied. Then we mainly establish the sufficient conditions for the extinction and persistence in the mean of each population. Finally, some numerical simulations are introduced to demonstrate the theoretical results.

Suggested Citation

  • Liu, Rong & Liu, Guirong, 2019. "Analysis on stochastic food-web model with intraguild predation and mixed functional responses," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 531(C).
    • Handle: RePEc:eee:phsmap:v:531:y:2019:i:c:s0378437119310374
    DOI: 10.1016/j.physa.2019.121782
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    Cited by:

    1. Guirong Liu & Rong Liu, 2019. "Dynamics of a Stochastic Three-Species Food Web Model with Omnivory and Ratio-Dependent Functional Response," Complexity, Hindawi, vol. 2019, pages 1-19, November.

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