Bifurcation analysis of a delayed predator-prey system with stage structure and Holling-II functional response. (English) Zbl 1422.92120
Summary: This paper is concerned with a stage-structured predator-prey system with Holling-II functional response and two delays. Choosing a possible combination of the two delays as the bifurcation parameter, the existence of the Hopf bifurcation of the system is discussed. Furthermore, the properties of the Hopf bifurcation such as the direction and the stability are determined by using the normal form method and center manifold theorem. Finally, some numerical simulations are presented to justify the theoretical results.
MSC:
| 92D25 | Population dynamics (general) |
| 34K20 | Stability theory of functional-differential equations |
| 92D40 | Ecology |
| 34K18 | Bifurcation theory of functional-differential equations |
| 34K60 | Qualitative investigation and simulation of models involving functional-differential equations |
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