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Periodic Solutions of a Lotka‐Volterra System with Delay and Diffusion

Author

Listed:
  • Lin Li
  • Mingxing Luo
  • Zhijie Nan
  • Sihong Shi

Abstract

Our purpose is to prove the existence of periodic solutions for a competition Lotka‐Volterra system on time scales, and one example is given to illustrate our results.

Suggested Citation

  • Lin Li & Mingxing Luo & Zhijie Nan & Sihong Shi, 2012. "Periodic Solutions of a Lotka‐Volterra System with Delay and Diffusion," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:762768
    DOI: 10.1155/2012/762768
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    References listed on IDEAS

    as
    1. Xinyu Song & Zhihao Ge & Jingang Wu, 2006. "Stability analysis of a ratio-dependent predator-prey system with diffusion and stage structure," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2006, pages 1-20, June.
    2. J. Baštinec & J. Diblík & Z. Šmarda, 2011. "An Explicit Criterion for the Existence of Positive Solutions of the Linear Delayed Equation x˙(t)=−c(t)x(t−τ(t))," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
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