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Complex Dynamics in a Ratio-dependent Food-chain Model with Beddington-DeAngelis Functional Response

✍ Scribed by Xitao Wang; Min Zhao

Book ID
116846141
Publisher
Elsevier
Year
2011
Weight
1013 KB
Volume
10
Category
Article
ISSN
1878-0296

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Stability and bifurcation of a delayed three-level food chain model with Beddington–DeAngelis functional response
✍ Wenling Li; Linshan Wang πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 695 KB

A three species food chain model with the Beddington-DeAngelis functional response is analyzed. By choosing the delay Ο„ as a bifurcation parameter, it is shown that Hopf bifurcation occurs as the delay Ο„ passes through a sequence of critical values. Numerical simulations are presented for supporting