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Dynamics in a Lotka‐Volterra Predator‐Prey Model with Time‐Varying Delays

Author

Listed:
  • Changjin Xu
  • Yusen Wu

Abstract

A Lotka‐Volterra predator‐prey model with time‐varying delays is investigated. By using the differential inequality theory, some sufficient conditions which ensure the permanence and global asymptotic stability of the system are established. The paper ends with some interesting numerical simulations that illustrate our analytical predictions.

Suggested Citation

  • Changjin Xu & Yusen Wu, 2013. "Dynamics in a Lotka‐Volterra Predator‐Prey Model with Time‐Varying Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:956703
    DOI: 10.1155/2013/956703
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    References listed on IDEAS

    as
    1. Yongkun Li, 2005. "Positive periodic solutions of a discrete mutualism model with time delays," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-8, January.
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