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Complex Dynamics Of One-Prey Multi-Predator System With Defensive Ability Of Prey And Impulsive Biological Control On Predators

Author

Listed:
  • YONGZHEN PEI

    (Department of Basic Science of Institute of Military Traffic, Tianjin, 300161, P. R. China;
    Department of Applied Mathematics, Dalian University of Technology, Dalian, 116023, P. R. China)

  • CHANGGUO LI

    (Department of Basic Science of Institute of Military Traffic, Tianjin, 300161, P. R. China)

  • LANSUN CHEN

    (Department of Applied Mathematics, Dalian University of Technology, Dalian, 116023, P. R. China)

  • CHUNHUA WANG

    (School of Science, Tianjin Polytechnic University, Tianjin, 300161, P. R. China)

Abstract

This work investigates the dynamic behaviors of one-prey multi-predator model with defensive ability of the prey by introducing impulsive biological control strategy. By using the Floquent theorem and the small amplitude perturbation method, it is proved that there exists an asymptotically stable pest-eradication periodic solution when the impulsive period is less than some critical value, and a permanence condition is established via the method of comparison involving multiple Liapunov functions. It is shown that the multi-predator impulsive control strategy is more effective than the classical one and makes the behavior dynamics of the system more complex.

Suggested Citation

  • Yongzhen Pei & Changguo Li & Lansun Chen & Chunhua Wang, 2005. "Complex Dynamics Of One-Prey Multi-Predator System With Defensive Ability Of Prey And Impulsive Biological Control On Predators," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 8(04), pages 483-495.
    • Handle: RePEc:wsi:acsxxx:v:08:y:2005:i:04:n:s0219525905000579
    DOI: 10.1142/S0219525905000579
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