Stability analysis of continuous population model involving predation and Allee effect

被引：14

作者：

Duman, O. ^{[1
]}

Merdan, H. ^{[1
]}

机构：

[1] TOBB Univ Econ & Technol, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 41卷 / 03期

关键词：

DYNAMICS; CONSEQUENCES; SYSTEMS;

D O I：

10.1016/j.chaos.2008.05.008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper presents the stability analysis of equilibrium points of a general continuous time population dynamics model involving predation subject to an Allee effect which occurs at low population density. The mathematical results and numerical simulations show that the system subject to an Allee effect takes much longer time to reach its stable state at an equilibrium point at which is indeed stable. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1218 / 1222

页数：5

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