DYNAMICS OF A STOCHASTIC THREE SPECIES PREY-PREDATOR MODEL WITH INTRAGUILD PREDATION

被引：9
|
作者：
Liu, Rong [1 ]
Liu, Guirong [2 ]
机构：
[1] Shanxi Univ Finance & Econ, Sch Appl Math, Taiyuan 030006, Shanxi, Peoples R China
[2] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2020年 / 10卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Stochastic food-web model; predator-prey; intraguild predation; stability in distribution; FOOD-CHAIN MODEL; POPULATION-MODEL; STABILITY; SYSTEM;
D O I：
10.11948/jaac20190002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：81 / 103
页数：23
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