The nonlinear analysis on a discrete host-parasitoid model with pesticidal interference

被引：12
|
作者：
Gu, En-Guo [1 ]
机构：
[1] S Cent Univ Nationalities, Dept Math, Wuhan 430074, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2009年 / 14卷 / 06期
关键词：
Host-parasitoid model with pesticidal interference; Feasible domains; Basin of attraction; Global bifurcations; Non-definition set; Focal point; Prefocal set; EXTERNAL INTERFERENCE; PLANE MAPS; GLOBAL ANALYSIS; FOCAL POINTS; BIFURCATIONS; DENOMINATOR; DYNAMICS; DOMAINS; CHAOS;
D O I：
10.1016/j.cnsns.2008.08.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A host-parasitoid model with a pesticidal interference is investigated. The global bifurcations of feasible sets and domains, caused by pesticide-related mortality, are given in the light of some recent results on iterated maps with vanishing denominator giving rise to non-classical singularities: a non-definition line, a focal point and a prefocal line. In particular, we give an answer to one of the open problems proposed by Kocic and Ladas. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：2720 / 2727
页数：8
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