Dynamics and Bifurcations of a Ratio-dependent Predator-prey Model

被引:0
|
作者
Azizi, P. [1 ]
Ghaziani, R. Khoshsiar [1 ]
机构
[1] Shahrekord Univ, Dept Appl Math & Comp Sci, POB 115, Shahrecord, Iran
关键词
Hopf bifurcation; Bogdanov-Takens bifurcation; Dynamical behaviour; Limit cycle; HOPF; SYSTEM;
D O I
10.5269/bspm.41174
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study a ratio-dependent predator-prey model with modified Holling-Tanner formalism, by using dynamical techniques and numerical continuation algorithms implemented in Matcont. We determine codim-1 and 2 bifurcation points and their corresponding normal form coefficients. We also compute a curve of limit cycles of the system emanating from a Hopf point.
引用
收藏
页数:20
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