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2005, Volume 2, Issue 2: 329-344. Doi: 10.3934/mbe.2005.2.329
This issue Previous Article Thresholds for Epidemic Outbreaks in Finite Scale-Free Networks Next Article Two-Species Competition with High Dispersal: The Winning Strategy

Impulsive Ecological Control Of A Stage-Structured Pest Management System

  • 1.

    Department of Computational Science and Mathematics, Guilin University of Electronic Technology, Guilin 541004

  • 2.

    School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083

Received:  June 30, 2004
Revised:  February 28, 2005
Published:  February 2005
Abstract Related Papers Cited by
    Abstract
  • The dynamics of a stage-structured pest management system is studied by means of autonomous piecewise linear systems with impulses governed by state feedback control. The sufficient conditions of existence and stability of periodic solutions are obtained by means of the sequence convergence rule and the analogue of the Poincaré criterion. The attractive region of periodic solutions is investigated theoretically by qualitative analysis. The bifurcation diagrams of periodic solutions are obtained by using the Poincaré map, as well as the chaotic solution generated via a cascade of period-doubling bifurcations. The superiority of the state feedback control strategy is also discussed.
    Mathematics Subject Classification: 34A37, 92D25.

    Citation:
    shu

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