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Global Analysis of a Delayed Impulsive Lotka-Volterra Model with Holling III Type Functional Response

Author

Listed:
  • Hui Wang
  • Xiaomin Hu
  • Zhixing Hu
  • Fucheng Liao

Abstract

A delayed impulsive Lotka-Volterra model with Holing III type functional response was established. With the help of Mawhin’s Continuation Theorem in coincidence degree theory, a sufficient condition is found for the existence of positive periodic solutions of the system under consideration. By applying the comparison theorem and constructing a suitable Lyapunov functional, the permanence and global attractivity of the model are proved. Two numerical simulations are also given to illustrate our main results.

Suggested Citation

  • Hui Wang & Xiaomin Hu & Zhixing Hu & Fucheng Liao, 2015. "Global Analysis of a Delayed Impulsive Lotka-Volterra Model with Holling III Type Functional Response," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-15, June.
    • Handle: RePEc:hin:jnlmpe:473539
    DOI: 10.1155/2015/473539
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