TAKENS-BOGDANOV NUMERICAL ANALYSIS IN PREDATOR-PREY MODEL WITH DELAY

被引：0

作者：

Mabonzo, V. D. ^{[1
]}

Okandze, R. Eyelangoli ^{[1
]}

Langa, F. D. ^{[2
]}

机构：

[1] Univ Marien Ngouabi, Ecole Normale Super, Brazzaville, Rep Congo

[2] Univ Marien Ngouabi, Fac Sci, Brazzaville, Rep Congo

来源：

MATEMATICKI VESNIK | 2019年 / 71卷 / 04期

关键词：

Bogdanov-Takens bifurcation; prey-predator model with delay; delay systems; Newton iteration; BIFURCATIONS; SYSTEMS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to study the Bogdanov-Takens point in the case of a Predator-Prey model with delay.

引用

页码：304 / 315

页数：12

共 13 条

[1]

Engelborghs K., 2001, PHYSICA D, V159, P215

[2]

Giannakopoulos F., 2002, ACM T MATH SOFTWARE, V28, P1

[3]

Gustavo R., 2008, REV UNION MAT ARGENT, V49, P1

[4]

Hale JK., 1991, Dynamics and Bifurcations, DOI DOI 10.1007/978-1-4612-4342-7

[5]

Han G. J., 1998, COMM KOREAN MATHS SO, V3, P643

[6] Bogdanov-Takens singularity in Van der Pol's oscillator with delayed feedback [J].

Jiang, Weihua ;

Yuan, Yuan .

PHYSICA D-NONLINEAR PHENOMENA, 2007, 227 (02) :149-161

[7]

Kuznetsov Y. A., 2004, ELEMENTS APPL BIFURC, P77

[8] Bifurcations in predator-prey systems with nonmonotonic functional response [J].

Liu, ZH ;

Yuan, R .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2005, 6 (01) :187-205

[9] Numerical stability analysis and computation of Hopf bifurcation points for delay differential equations [J].

Luzyanina, T ;

Roose, D .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1996, 72 (02) :379-392

[10]

Ruan SG, 2000, SIAM J APPL MATH, V61, P1445

← 1 2 →