Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 295, Issue 1, Pages 15-39Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2004.02.038
Keywords
Beddington-DeAngelis predator-prey system; permanence; extinction; periodic solution; almost periodic solution
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In this paper, we systematically study the dynamics of a nonautonomous predator-prey system with the Beddington-DeAngelis functional response. The explorations involve the permanence, extinction, global asymptotic stability (general nonautonomous case); the existence, uniqueness and stability of a positive (almost) periodic solution and a boundary (almost) periodic solution for the periodic (almost periodic) case. The paper ends with some interesting numerical simulations that complement our analytical findings. (C) 2004 Elsevier Inc. All rights reserved.
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