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Hopf bifurcation in a partial dependent predator–prey system with delay

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  • Zhao, Huitao
  • Lin, Yiping

Abstract

In this paper, a partial dependent predator–prey model with time delay is studied by using the theory of functional differential equation and Hassard’s method, the condition on which positive equilibrium exists and Hopf bifurcation occurs are given. Finally, numerical simulations are performed to support the analytical results, and the chaotic behaviors are observed.

Suggested Citation

  • Zhao, Huitao & Lin, Yiping, 2009. "Hopf bifurcation in a partial dependent predator–prey system with delay," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 896-900.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:2:p:896-900
    DOI: 10.1016/j.chaos.2009.02.025
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    References listed on IDEAS

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    1. Sun, Chengjun & Lin, Yiping & Han, Maoan, 2006. "Stability and Hopf bifurcation for an epidemic disease model with delay," Chaos, Solitons & Fractals, Elsevier, vol. 30(1), pages 204-216.
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