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Periodic solutions of a delayed predator-prey model with stage structure for predator

Author

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  • Rui Xu
  • M. A. J. Chaplain
  • F. A. Davidson

Abstract

A periodic time-dependent Lotka-Volterra-type predator-prey model with stage structure for the predator and time delays due to negative feedback and gestation is investigated. Sufficient conditions are derived, respectively, for the existence and global stability of positive periodic solutions to the proposed model.

Suggested Citation

  • Rui Xu & M. A. J. Chaplain & F. A. Davidson, 2004. "Periodic solutions of a delayed predator-prey model with stage structure for predator," Journal of Applied Mathematics, Hindawi, vol. 2004, pages 1-16, January.
    • Handle: RePEc:hin:jnljam:798373
    DOI: 10.1155/S1110757X04308090
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    Cited by:

    1. Chen, Yuanyuan & Changming, Song, 2008. "Stability and Hopf bifurcation analysis in a prey–predator system with stage-structure for prey and time delay," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1104-1114.

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