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

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UNSPECIFIED. (2004) Global attractivity in a "food-limited" population model with impulsive effects. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 292 (1). pp. 211-221. ISSN 0022-247X

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Official URL: http://dx.doi.org/10.1016/j.jmaa.2003.11.061

Abstract

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.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Journal or Publication Title: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCE
ISSN: 0022-247X
Date: 1 April 2004
Volume: 292
Number: 1
Number of Pages: 11
Page Range: pp. 211-221
Identification Number: 10.1016/j.jmaa.2003.11.061
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/8610

Data sourced from Thomson Reuters' Web of Knowledge

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