Global attractivity in a "food-limited" population model with impulsive effects

被引:55
|
作者
Tang, SY [1 ]
Chen, LS
机构
[1] Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, England
[2] Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
10.1016/j.jmaa.2003.11.061
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Sufficient conditions are obtained for the global attractivity of the positive equilibrium of the delay-logistic equation with impulsive effect N(t) = r(t)N(t)[K-N-p(t-tau)/K+c(t)N-p(t-tau)], N(tau(k)(+))=N(tau(k))exp(I-k(ln(N(tau(k))/(p)rootK))), where r (t), c(t) are continuous functions, p, K, tau are positive constants, and {tau(k)}(infinity)(k=1) denotes the sequence of impulsive time which assumed to be strictly increasing. Some special cases are also considered. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码:211 / 221
页数:11
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