Permanence and Extinction of Periodic Delay Predator–Prey System with Two Predators and Stage Structure for Prey

Wei-wei Zheng () and Er-dong Han
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Wei-wei Zheng: Xi’an Polytechnic University
Er-dong Han: Xi’an Polytechnic University

Chapter Chapter 155 in The 19th International Conference on Industrial Engineering and Engineering Management, 2013, pp 1469-1480 from Springer

Abstract: Abstract In this paper, a periodic predator–prey delay system with Beddington–DeAngelis and Holling IV functional response is proposed and analyzed, where prey has stage structure and all three species are density dependent. Using the comparison theorem and analytical method, sufficient conditions of the permanence and extinction of the predators and prey species are obtained. In addition, sufficient conditions are derived for the existence of positive periodic solutions of the system. According to the conclusions of the theorems, two examples are given to check the correctness of the main results.

Keywords: Beddington–DeAngelis functional response; Delay; Extinction; Permanence; Stage Structure (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-38391-5_155

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DOI: 10.1007/978-3-642-38391-5_155

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