EXTINCTION IN STOCHASTIC PREDATOR-PREY POPULATION MODEL WITH ALLEE EFFECT ON PREY

被引：16

作者：

Jovanovic, Miljana ^{[1
]}

Krstic, Marija ^{[1
]}

机构：

[1] Univ Nis, Fac Sci & Math, Visegradska 33, Nish 18000, Serbia

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2017年 / 22卷 / 07期

关键词：

Allee effect; extinction; global attractivity in mean; predator; prey; STABILITY; DYNAMICS; WOLVES;

D O I：

10.3934/dcdsb.2017129

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents the analysis of the conditions which lead the stochastic predator-prey model with Allee effect on prey population to extinction. In order to find these conditions we first prove the existence and uniqueness of global positive solution of considered model using the comparison theorem for stochastic differential equations. Then, we establish the conditions under which extinction of predator and prey populations occur. We also find the conditions for parameters of the model under which the solution of the system is globally attractive in mean. Finally, the numerical illustration with real life example is carried out to confirm our theoretical results.

引用

页码：2651 / 2667

页数：17

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