Dynamics of a stochastic three-species competitive model with Levy jumps

被引：3
作者：
Gao, Yongxin [1 ]
Tian, Shiquan [1 ]
机构：
[1] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2018年 / 11卷 / 05期
基金：
美国国家科学基金会;
关键词：
Stochastic competitive model; Levy jumps; extinction; persistence in the mean; stability in distribution; LOTKA-VOLTERRA SYSTEMS; POPULATION-DYNAMICS; EXTINCTION;
D O I：
10.1142/S1793524518500754
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This paper is concerned with a three-species competitive model with both white noises and Levy noises. We first carry out the almost complete parameters analysis for the model and establish the critical value between persistence in the mean and extinction for each species. The sufficient criteria for stability in distribution of solutions are obtained. Finally, numerical simulations are carried out to verify the theoretical results.
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页数：24
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