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Bifurcation of a predator-prey system with generation delay and habitat complexity
Zhihui Ma,Haopeng Tang,Shufan Wang,Tingting Wang 대한수학회 2018 대한수학회지 Vol.55 No.1
In this paper, we study a delayed predator-prey system with Holling type IV functional response incorporating the effect of habitat complexity. The results show that there exist stability switches and Hopf bifurcation occurs while the delay crosses a set of critical values. The explicit formulas which determine the direction and stability of Hopf bifurcation are obtained by the normal form theory and the center manifold theorem.
BIFURCATION OF A PREDATOR-PREY SYSTEM WITH GENERATION DELAY AND HABITAT COMPLEXITY
Ma, Zhihui,Tang, Haopeng,Wang, Shufan,Wang, Tingting Korean Mathematical Society 2018 대한수학회지 Vol.55 No.1
In this paper, we study a delayed predator-prey system with Holling type IV functional response incorporating the effect of habitat complexity. The results show that there exist stability switches and Hopf bifurcation occurs while the delay crosses a set of critical values. The explicit formulas which determine the direction and stability of Hopf bifurcation are obtained by the normal form theory and the center manifold theorem.