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Positive solutions for a three-trophic food chain model with diffusion and Beddington–Deangelis functional response

✍ Scribed by Jun Zhou; Chunlai Mu

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
306 KB
Volume
12
Category
Article
ISSN
1468-1218

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✦ Synopsis

In this paper, we investigate the existence, stability, permanence, and global attractor of positive solutions for the following three species food chain model with diffusion and Beddington-Deangelis functional response

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Stability and bifurcation of a delayed t
Stability and bifurcation of a delayed three-level food chain model with Beddington–DeAngelis functional response
✍ Wenling Li; Linshan Wang 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 695 KB

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