English, Article edition: A FOOD CHAIN SYSTEM WITH DENSITY-DEPENDENT BIRTH RATE AND IMPULSIVE PERTURBATIONS SHUWEN ZHANG; FENYAN WANG; LANSUN CHEN

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Physical Description
  • article
Language
  • English

Edition details

Title
  • A FOOD CHAIN SYSTEM WITH DENSITY-DEPENDENT BIRTH RATE AND IMPULSIVE PERTURBATIONS
Author
  • SHUWEN ZHANG
  • FENYAN WANG
  • LANSUN CHEN
Physical Description
  • article
Notes
  • We investigate a three-species food chain system with density-dependent birth rate and impulsive effect concerning biological and chemical control strategy â periodic releasing of natural enemies or spraying pesticide at different fixed times. Conditions for the extinction of the prey and top predator are given. By using the Floquet theory of impulsive differential equations and small amplitude perturbation skills, we consider the local stability of the prey and top predator eradication periodic solution. Further, we obtain the conditions of permanence of the system.
  • Impulsive perturbation, density-dependent birth, biological control, food chain model, extinction, permanence
  • RePEc:wsi:acsxxx:v:09:y:2006:i:03:p:223-236
Language
  • English
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