Bifurcation of a predator-prey system with generation delay and habitat complexity

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 whi...

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Bibliographic Details
Published inJournal of the Korean Mathematical Society pp. 43 - 58
Main Authors Zhihui Ma, Haopeng Tang, Shufan Wang, Tingting Wang
Format Journal Article
LanguageEnglish
Published 대한수학회 01.01.2018
Subjects
수학
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Summary: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. KCI Citation Count: 4
ISSN:0304-9914
2234-3008
DOI:10.4134/JKMS.j160717