Analysis of a predator-prey model with Levy jumps

被引：0
|
作者：
Zhu, Min [1 ,2 ]
Li, Junping [1 ]
机构：
[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Peoples R China
[2] Hunan Univ Technol, Coll Traff Engn, Zhuzhou 412007, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2016年
关键词：
predator-prey model; Levy jumps; persistence; extinction; DIFFERENTIAL-EQUATIONS; POPULATION-MODEL; SYSTEM; DYNAMICS; INTERFERENCE; EXTINCTION; STABILITY; PARASITES; BEHAVIOR; NOISE;
D O I：
10.1186/s13662-016-0986-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with a predator-prey model of Beddington-DeAngelis type functional response with Levy jumps. The proposed mathematical model consists of a system of two stochastic differential equations to stimulate the interactions between predator population and prey population. The dynamics of the system is discussed mainly from the point of view of persistence and extinction. To begin with, the global positivity, stochastically boundedness and other asymptotic properties have been derived. In addition, sufficient conditions for extinction, nonpersistence in the mean and weak persistence are obtained. It is proved that the variation of Levy jumps can affect the asymptotic property of the system.
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页数：23
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