Global attractivity in delay "food-limited" models with exponential impulses

被引:4
|
作者
Liu, YJ [1 ]
Ge, WG
机构
[1] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
[2] Hunan Inst Technol, Dept Math, Yueyang 414000, Hunan, Peoples R China
关键词
global attractivity; food-limited delay population model; impulse; oscillatory solution;
D O I
10.1016/S0022-247X(03)00543-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we are concerned with the global attractivity of the positive equilibrium of the following delay "food-limited" model with exponential impulses: {N'(t) = p(t) N(t) (1-N(t-tau))/(1+lambdaN(t-tau)), t greater than or equal to 0, t not equal t(k), {N(t(k)(+)) = N (t(k))(1+bk), k is an element of N, where p is an element of PC ([0, +infinity)) with p > 0, lambda is an element of (0, + infinity), tau > 0, b(k) > -1 for all k is an element of N. The initial condition is x(t) = phi (t), t is an element of [-tau, 0], where phi is an element of PC([-tau, 0]). The results obtained are new. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码:200 / 216
页数:17
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