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Dynamic Analysis of an Impulsive Predator-Prey Model with Disease in Prey and Ivlev-Type Functional Response

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  • Yuanfu Shao
  • Peiluan Li
  • Guoqiang Tang

Abstract

A predator-prey model with disease in prey, Ivlev-type functional response, and impulsive effects is proposed. By using Floquet theory and small amplitude perturbation skill, sufficient conditions of the existence and global stability of susceptible pest-eradication periodic solution are obtained. By impulsive comparison theorem, conditions ensuring the permanence of the system are established. Examples and simulation are given to show the complex dynamics for the key parameters.

Suggested Citation

  • Yuanfu Shao & Peiluan Li & Guoqiang Tang, 2012. "Dynamic Analysis of an Impulsive Predator-Prey Model with Disease in Prey and Ivlev-Type Functional Response," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-20, August.
    • Handle: RePEc:hin:jnlaaa:750530
    DOI: 10.1155/2012/750530
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