English, Article edition: 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; ...

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Bookmark: http://trove.nla.gov.au/version/143957
Physical Description
  • article
Language
  • English

Edition details

Title
  • COMPLEX DYNAMICS OF ONE-PREY MULTI-PREDATOR SYSTEM WITH DEFENSIVE ABILITY OF PREY AND IMPULSIVE BIOLOGICAL CONTROL ON PREDATORS
Author
  • YONGZHEN PEI
  • CHANGGUO LI
  • LANSUN CHEN
  • CHUNHUA WANG
Physical Description
  • article
Notes
  • 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.
  • Impulsive biological control, defensive ability, permanence, extinction
  • RePEc:wsi:acsxxx:v:08:y:2005:i:04:p:483-495
Language
  • English
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