Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ANALYSIS OF A STAGE-STRUCTURED PREDATOR-PREY SYSTEM WITH IMPULSIVE PERTURBATIONS AND TIME DELAYS

  • Song, Xinyu (COLLEGE OF MATHEMATICS AND INFORMATION SCIENCE XINYANG NORMAL UNIVERSITY) ;
  • Li, Senlin (COLLEGE OF MATHEMATICS AND INFORMATION SCIENCE XINYANG NORMAL UNIVERSITY) ;
  • Li, An (COLLEGE OF MATHEMATICAL SCIENCES XIAMEN UNIVERSITY)
  • Published : 2009.01.31
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Abstract

In this paper, a stage-structured predator-prey system with impulsive perturbations and time delays is presented to investigate the ecological problem of how a pest population and natural enemy population can coexist. Sufficient conditions are obtained using a discrete dynamical system determined by a stroboscopic map, which guarantee that a 'predator-extinction' periodic solution is globally attractive. When the impulsive period is longer than some time threshold or the impulsive harvesting rate is below a control threshold, the system is permanent. Our results provide some reasonable suggestions for pest management.

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References

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