| Bifurcation analysis of a diffusive predator-prey model with Beddington-DeAngelis functional response |
| Qiannan Song,Ruizhi Yang,Chunrui Zhang,Lei Wang |
| Keywords:Predator-prey; Turing instability; Hopf bifurcation; Turing-Hopf bifurcation |
| Abstract: |
| In this paper, we consider a diffusive predator-prey model with Beddington-DeAngelis functional response. The Turing instability and Hopf bifurcation of the coexisting equilibrium are investigated. We also use bifurcation parameters m, d2 to study the Turing-Hopf bifurcation. In addition, we compute the normal form for the Turing-Hopf bifurcation. On the basis of the corresponding normal form, there exists complex spatiotemporal dynamics near Turing-Hopf bifurcation point. Finally, Some numerical simulations are given to
illustrate our theoretical results. |
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