Weak persistence of a stochastic delayed competition system with telephone noise and Allee effect

被引：12
作者：
Liu, Chao [1 ,2 ,3 ]
Li, Haichang [1 ,2 ]
Cheung, Lora [3 ]
机构：
[1] Northeastern Univ, Inst Syst Sci, Shenyang, Liaoning, Peoples R China
[2] State Key Lab Integrated Automat Proc Ind, Shenyang, Liaoning, Peoples R China
[3] York Univ, Sch Sci, Dept Math & Stat, Toronto, ON, Canada
来源：
APPLIED MATHEMATICS LETTERS | 2020年 / 103卷
基金：
中国国家自然科学基金; 加拿大自然科学与工程研究理事会;
关键词：
Telephone noise; Distributed delay; Levy jumps; Weak persistence; PREDATOR-PREY MODEL; POPULATION-MODEL; ERGODICITY; EXTINCTION;
D O I：
10.1016/j.aml.2019.106186
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A stochastic competition system with Allee effect and distributed delay is established, which is utilized to investigate combined dynamic effects of telephone noise and Levy jumps on stochastic population dynamics. Stochastically ultimate boundedness of the positive solution is studied. By constructing appropriate stochastic Lyapunov functions, sufficient conditions for weak persistence of the corresponding competitive population are discussed. (C) 2019 Elsevier Ltd. All rights reserved.
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页数：9
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