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Stability and bifurcation of a delayed three-level food chain model with Beddington-DeAngelis functional response. (English) Zbl 1163.34348

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

MSC:

34C23 Bifurcation theory for ordinary differential equations
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