Permanence and global attractivity of a delayed periodic logistic equation

  • Chen F
  • Xie X
  • Chen X
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Abstract

In this paper, we consider the delayed periodic logistic equationover(N, ̇) (t) = N (t) [a (t) - b (t) Np(t - σ (t)) - c (t) Nq(t - τ (t))],which describes the evolution of a single species. Sufficient conditions which guarantee the permanence and the globally attractivity of the system are obtained. © 2005 Elsevier Inc. All rights reserved.

Author-supplied keywords

  • Delayed logistic equation
  • Global attractivity
  • Lyapunov functional
  • Permanence

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Authors

  • Fengde Chen

  • Xiangdong Xie

  • Xiaoxing Chen

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