Nonlinear delay differential equations involving population growth

被引：16
|
作者：
Lenbury, Y
Giang, DV
机构：
[1] Mahidol Univ, Dept Math, Bangkok 10400, Thailand
[2] Hanoi Inst Math, Hanoi 10307, Vietnam
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2004年 / 40卷 / 5-6期
关键词：
constant variation formula; positivity of population models; omega-limit set of a persistent solution; one parameter semigroup;
D O I：
10.1016/j.mcm.2003.09.038
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Conditions are given on the function f, such that population x(t) given by x(t) = -mux(t) + f (x(t - r)), becomes extinct or remains globally stable. Our theorems are shown to be applicable to the Nicholson's model of blowflies and the population dynamics of baleen whales. In some of these cases, the function f is unimodal rather than monotone. (C) 2004 Elsevier Ltd. All rights reserved.
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页码：583 / 590
页数：8
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