Dynamics of a three species food chain model with Crowley-Martin type functional response

被引：69
|
作者：
Upadhyay, Ranjit Kumar [2 ]
Naji, Raid Kamel [1 ]
机构：
[1] Univ Baghdad, Coll Sci, Dept Math, Baghdad, Iraq
[2] Indian Sch Mines Univ, Dept Appl Math, Dhanbad 826004, Bihar, India
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 42卷 / 03期
关键词：
COMPLEX DYNAMICS; PREDATOR; CHAOS; PREY; POPULATION; INTERFERENCE; BEHAVIOR; SYSTEM;
D O I：
10.1016/j.chaos.2009.03.020
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a three species food chain model, consisting of a hybrid type of prey-dependent and predator-dependent functional responses, is investigated analytically as well as numerically. The local and global stability analysis is carried Out. The persistence conditions are established. Bifurcation diagrams are obtained for biologically feasible parameters. The results show that the system exhibits rich complexity features such as stable, periodic and chaotic dynamics. (C) 2009 Elsevier Ltd. All rights reserved.
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页码：1337 / 1346
页数：10
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