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HOPF BIFURCATION IN A PREDATOR-PREY MODEL WITH TWO DELAYS

HOPF BIFURCATION IN A PREDATOR-PREY MODEL WITH TWO DELAYS
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摘要 In this paper,a predator-prey ecosystem with two delays is considered.Firstly,the stability of the equilibrium of the system is investigated by analyzing the characteristic equation.Secondly,by choosing the sum of the two delays as a bifurcation parameter,it is shown that Hopf bifurcation occurs as the parameter passes through a certain critical value.Finally,in order to illustrate our theoretical analysis,some numerical simulations are also included. In this paper,a predator-prey ecosystem with two delays is considered.Firstly,the stability of the equilibrium of the system is investigated by analyzing the characteristic equation.Secondly,by choosing the sum of the two delays as a bifurcation parameter,it is shown that Hopf bifurcation occurs as the parameter passes through a certain critical value.Finally,in order to illustrate our theoretical analysis,some numerical simulations are also included.
作者 Yingguo Li
机构地区 School of Math.and Computer Science
出处 《Annals of Differential Equations》 2014年第3期312-317,共6页 微分方程年刊（英文版）
基金 supported by the Foundation of Fujian Education Bureau(JB12046)
关键词 predator-prey model time delay STABILITY Hopf bifurcation predator-prey model time delay stability Hopf bifurcation
分类号 O175 [理学—基础数学]
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参考文献15

  • 1R.M. May, Stability and Complexity in Model Ecosystems, Princeton University Press, 1973.
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Annals of Differential Equations
2014年 第3期

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