COMPLEX DYNAMICS OF ONE-PREY MULTI-PREDATOR SYSTEM WITH DEFENSIVE ABILITY OF PREY AND IMPULSIVE BIOLOGICAL CONTROL ON PREDATORS

Yongzhen Pei (), Changguo Li, Lansun Chen () and Chunhua Wang
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Yongzhen Pei: Department of Basic Science of Institute of Military Traffic, Tianjin, 300161, 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

Advances in Complex Systems (ACS), 2005, vol. 08, issue 04, 483-495

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.

Keywords: Impulsive biological control; defensive ability; permanence; extinction (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1142/S0219525905000579

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