Jicai Huang
Source Publicationactamathematicaeapplicataesinica
AbstractA discrete predator-prey system with Holling type-IV functional response obtained by the Euler method is first investigated. The conditions of existence for fold bifurcation, flip bifurcation and Hopf bifurcation are derived by using the center manifold theorem and bifurcation theory. Furthermore, we give the condition for the occurrence of codimension-two bifurcation called the Bogdanov-Takens bifurcation for fixed points and present approximate expressions for saddle-node, Hopfand homoclinic bifurcation sets near the Bogdanov-Takens bifurcation point. We also show the existence of degenerated fixed point with codimension three at least. The numerical simulations, including bifurcation diagrams, phase portraits, and computation of maximum Lyapunov exponents, not only show the consistence with the theoretical analysis but also exhibit the rich and complex dynamical behaviors such as the attracting invariant circle, period-doubling bifurcation from period-2,3,4 orbits.interior crisis, intermittency mechanic, and sudden disappearance of chaotic dynamic.
Document Type期刊论文
Recommended Citation
GB/T 7714
Jicai Huang. bifurcationsandchaosinadiscretepredatorpreysystemwithhollingtypeivfunctionalresponse[J]. actamathematicaeapplicataesinica,2005,021(001):157.
APA Jicai Huang.(2005).bifurcationsandchaosinadiscretepredatorpreysystemwithhollingtypeivfunctionalresponse.actamathematicaeapplicataesinica,021(001),157.
MLA Jicai Huang."bifurcationsandchaosinadiscretepredatorpreysystemwithhollingtypeivfunctionalresponse".actamathematicaeapplicataesinica 021.001(2005):157.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Jicai Huang]'s Articles
Baidu academic
Similar articles in Baidu academic
[Jicai Huang]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Jicai Huang]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.