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Permanence and Existence of Periodic Solutions of a Predator-Prey Patchy Model with Dispersal and Time Delay
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- Author:
- No author available
- Journal Title:
- JOURNAL OF BIOMATHEMATICS
- Issue:
- 1
- DOI:
- 10.3969/j.issn.1001-9626.2007.01.003
- Key Word:
- 永久持续;时滞;扩散;Beddington型功能性反应;捕食系统;周期解;拓展定理;Permanence;Time Delay;Diffusion;Beddington type functional response;Predator-prey system;Periodic solution;Mawhin's theorem
Abstract： In this paper, a non-autonomous predator-prey patchy system with Bedding-type functional response and time delay is investigated. It is shown that the system is permanent under some appropriate conditions. By using Gaines and Mawhin's continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions are obtained to guarantee the existence of positive periodic solutions of the system.
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