Delay induced oscillation in predator–prey system with Beddington–DeAngelis functional response |
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| Authors: | Guojian Lin Yiguang Hong |
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| Affiliation: | aAcademy of Mathematics and Systems Science, Chinese Academy of Science, Beijing 100080, People’s Republic of China |
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| Abstract: | The Beddington–DeAngelis predator–prey system with distributed delay is studied in this paper. At first, the positive equilibrium and its local stability are investigated. Then, with the mean delay as a bifurcation parameter, the system is found to undergo a Hopf bifurcation. The bifurcating periodic solutions are analyzed by means of the normal form and center manifold theorems. Finally, numerical simulations are also given to illustrate the results. |
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| Keywords: | Stability Hopf bifurcation Distributed delay Predator–prey system Normal form Center manifold theorem |
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