Positive periodic solutions of nonautonomous delay competitive systems with weak Allee effect

被引:9
|
作者
Egami, Chikahiro [1 ]
机构
[1] Numazu Natl Coll Technol, Dept Digital Engn, Shizuoka 4108501, Japan
关键词
coincidence degree; global attractivity;
D O I
10.1016/j.nonrwa.2007.10.010
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper considers a nonautonomous Lotka-Volterra type multispecies competitive system with weak Allee effect and delays. The model has the intraspecific competition terms defined by sign changing functions which depend on population density monotonically and time periodically. An existence theorem of positive periodic solutions is established using the coincidence degree theory. Furthermore, for the case of constant delays, a sufficient condition for the positive periodic Solution to be globally attractive is proved with the Lyapunov method so that the system attains permanence. (C) 2007 Elsevier Ltd. All rights reserved.
引用
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页码:494 / 505
页数:12
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