4.7 Article

Permanence of a stage-structured predator-prey system

Journal

APPLIED MATHEMATICS AND COMPUTATION
Volume 219, Issue 17, Pages 8856-8862

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2013.03.055

Keywords

Predator; Prey; Stage structure; Delay; Permanence

Funding

  1. Natural Science Foundation of Fujian Province [2011J01007]
  2. Technology Innovation Platform Project of Fujian Province [2009J1007]

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A stage-structured predator-prey system (stage structure for both predator and prey) with discrete delay is studied in this paper. By introducing anew lemma and applying the standard comparison theorem, a set of novel criteria which ensure the permanence of the system is obtained. Our result supplements the main results of Chen, Xie and Li [Partial survival and extinction of a delayed predator-prey model with stage structure, Applied Mathematics and Computation, 219 (8)(2012) 4157-4162]. (C) 2013 Elsevier Inc. All rights reserved.

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