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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. doi:10.1016/j.jmaa.2003.11.061 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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | ||||
Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | ||||
ISSN: | 0022-247X | ||||
Official Date: | 1 April 2004 | ||||
Dates: |
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Volume: | 292 | ||||
Number: | 1 | ||||
Number of Pages: | 11 | ||||
Page Range: | pp. 211-221 | ||||
DOI: | 10.1016/j.jmaa.2003.11.061 | ||||
Publication Status: | Published |
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