A remark on a stochastic logistic model with Levy jumps

被引：7
|
作者：
Liu, Meng [1 ]
Bai, Chuanzhi [1 ]
机构：
[1] Huaiyin Normal Univ, Sch Math Sci, Huaian 223300, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 251卷
基金：
中国国家自然科学基金;
关键词：
Logistic equation; Levy noise; Extinction; Permanence; POPULATION-DYNAMICS; SYSTEM; PERSISTENCE; PERMANENCE; EXTINCTION;
D O I：
10.1016/j.amc.2014.11.094
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This note is concerned with a famous stochastic logistic equation with Levy noises. Sufficient and necessary conditions for extinction and permanence are established. The results reveal that the Levy noise may change the properties of population dynamics significantly. The results also reveal an important property of the Levy noise: it is unfavorable for the permanence of the population. Some numerical simulations are introduced to validate the analytical results. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：521 / 526
页数：6
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