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

Rong Liu and Guirong Liu

Physica A: Statistical Mechanics and its Applications, 2019, vol. 531, issue C

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.

Keywords: Stochastic food-web model; Mixed functional responses; Intraguild predation; Persistence in mean; Extinction (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:531:y:2019:i:c:s0378437119310374

DOI: 10.1016/j.physa.2019.121782

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