Bifurcation and stability analysis in predator–prey model with a stage-structure for predator
- First Online:
- 343 Downloads
A predator–prey system with Holling type II functional response and stage-structure for predator is presented. The stability and Hopf bifurcation of this model are studied by analyzing the associated characteristic transcendental equation. Further, an explicit formula for determining the stability and the direction of periodic solutions bifurcating from positive equilibrium is derived by the normal form theory and center manifold argument. Some numerical simulations are also given to illustrate our results.
KeywordsHopf bifurcation Stability Time delay Predator–prey system
- 9.Sun, X.K., : Permanence of a Holling type II predator–prey system with stage-structure. In: Proceedings of the 6th Conference of Biomathematics, Tai’an, P.R. China, July. Adv. Biomath. 2, 598–602 (2008) Google Scholar