Dynamic analysis of a nonautonomous impulsive single-species system in a random environment

被引：4
作者：
Tan, Ronghua [1 ,2 ]
Wang, Hailing [1 ,2 ]
Xiang, Huili [1 ,2 ]
Liu, Zhijun [1 ,2 ]
机构：
[1] Hubei Univ Nationalities, Key Lab Biol Resources Protect & Utilizat Hubei P, Enshi 445000, Hubei, Peoples R China
[2] Hubei Univ Nationalities, Dept Math, Enshi 445000, Hubei, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2015年
基金：
中国国家自然科学基金;
关键词：
single-species model; impulsive stochastic differential equation; extinction; stochastic permanence; global attractivity; STOCHASTIC DIFFERENTIAL-EQUATIONS; ASYMPTOTIC-BEHAVIOR; POPULATION-DYNAMICS; PERTURBATIONS; MODEL; STABILITY; BUDWORM; NOISE;
D O I：
10.1186/s13662-015-0553-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with a nonautonomous single-species model, in which the population dynamics is affected by impulsive perturbations and environmental noise. Sufficient conditions for the extinction, stochastic permanence, and global attractivity of system are obtained, respectively. The above results reveal that the white noise plays a very important role in the dynamic behaviors. However, it is found that the bounded impulse does not affect the above properties. Some numerical simulation results are presented to support the analytical findings.
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页数：17
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