Weak Allee effect in a predator-prey system involving distributed delays

被引：9

作者：

Tabares, Paulo C. C. ^{[1
]}

Ferreira, Jocirei D. ^{[2
]}

Rao, V. Sree Hari

机构：

[1] Univ Quindio, Fac Ciencias Basicas & Tecnol, Armenia, Quindio, Colombia

[2] Univ Fed Mato Grosso, Inst Ciencias Exatas & Terra, Pontal Do Araguaia, MT, Brazil

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2011年 / 30卷 / 03期

关键词：

weak Allee effect; population dynamics; Hopf bifurcation; predator-prey model; distributed delay; TIME-DELAY; BIFURCATION; MODELS;

D O I：

10.1590/S1807-03022011000300011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the influence of weak Allee effect in a predator-prey system model. This effect is included in the prey equation and we determine conditions for the occurrence of Hopf bifurcation. The stability properties of the system and the biological issues of the memory and Allee models on the coexistence of the two species are studied. Finally we present some simulations which allow one to verify the analytical conclusions obtained.

引用

页码：675 / 699

页数：25

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