HOPF BIFURCATION ANALYSIS OF A PREDATOR-PREY MODEL WITH TIME-DELAY

被引:1
作者
Hongbing ChenWansheng HeXiaoke Sun School of Mathand StatisticsTianshui Normal UniversityTianshui Gansu [741001 ]
机构
关键词
Hopf bifurcation; stability; time delay; predator-prey system; equilibrium point;
D O I
暂无
中图分类号
O175.12 [定性理论];
学科分类号
070104 ;
摘要
In this paper,a predator-prey model of three species is investigated.By introducing a delay as a bifurcation parameter,it is found that Hopf bifurcation occurs when τ crosses some critical values.
引用
收藏
页码:15 / 20
页数:6
相关论文
共 6 条
[1]  
Stability and Hopf bifurcation analysis in a prey–predator system with stage-structure for prey and time delay[J] . Yuanyuan Chen,Song Changming. Chaos, Solitons and Fractals . 2007 (4)
[2]  
Hopf bifurcation in a delayed Lokta–Volterra predator–prey system[J] . Xiang-Ping Yan,Cun-Hua Zhang. Nonlinear Analysis: Real World Applications . 2006 (1)
[3]   Stability and bifurcation analysis on a Logistic model with discrete and distributed delays [J].
Song, Yongli ;
Peng, Yahong .
APPLIED MATHEMATICS AND COMPUTATION, 2006, 181 (02) :1745-1757
[4]  
London Mathematical Society lecture Note Series .2 Hassard BD,Kazarinoff ND,Wan YH. Cambridge University Press . 1981
[5]  
Foundations of modern analysis .2 Dieuonne ’ J. Academic . 1960
[6]  
Applied Mathematical Sciences .2 Hale JK,Verduyn Lunel SM. Springer-Verlag . 1993