English, Article edition: CHAOTIC BEHAVIOR OF A PERIODICALLY FORCED PREDATORâPREY SYSTEM WITH BEDDINGTONâDEANGELIS FUNCTIONAL RESPONSE AND IMPULSIVE PERTURBATIONS SHUWEN ZHANG; DEJUN TAN; LANSUN CHEN

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Bookmark: http://trove.nla.gov.au/version/143768
Physical Description
  • article
Language
  • English

Edition details

Title
  • CHAOTIC BEHAVIOR OF A PERIODICALLY FORCED PREDATORâPREY SYSTEM WITH BEDDINGTONâDEANGELIS FUNCTIONAL RESPONSE AND IMPULSIVE PERTURBATIONS
Author
  • SHUWEN ZHANG
  • DEJUN TAN
  • LANSUN CHEN
Physical Description
  • article
Notes
  • The effects of periodic forcing and impulsive perturbations on the predatorâprey model with BeddingtonâDeAngelis functional response are investigated. We assume periodic variation in the intrinsic growth rate of the prey as well as periodic constant impulsive immigration of the predator. The dynamical behavior of the system is simulated and bifurcation diagrams are obtained for different parameters. The results show that periodic forcing and impulsive perturbation can very easily give rise to complex dynamics, including quasi-periodic oscillating, a period-doubling cascade, chaos, a period-halving cascade, non-unique dynamics, and period windows.
  • Predatorâprey system, impulsive perturbation, periodic forcing, bifurcation, chaos, complexity
  • RePEc:wsi:acsxxx:v:09:y:2006:i:03:p:209-222
Language
  • English
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