English, Article edition: DYNAMIC COMPLEXITIES OF A CHEMOSTAT MODEL WITH PULSED INPUT AND WASHOUT AT DIFFERENT TIMES SHUWEN ZHANG; DEJUN TAN; HONGSHENG GU

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Physical Description
  • article
Language
  • English

Edition details

Title
  • DYNAMIC COMPLEXITIES OF A CHEMOSTAT MODEL WITH PULSED INPUT AND WASHOUT AT DIFFERENT TIMES
Author
  • SHUWEN ZHANG
  • DEJUN TAN
  • HONGSHENG GU
Physical Description
  • article
Notes
  • In this paper, we consider a predatorâprey chemostat model with ratio-dependent Monod type functional response and periodic input and washout at different fixed times. We obtain an exact periodic solution with substrate and prey. The stability analysis for this periodic solutions yields an invasion threshold for the period of pulses of the predator. When the impulsive period is more than the threshold, there are periodic oscillations in the substrate, prey, and predator. If the impulsive period further increases, the system undergoes a complex dynamic process. By analyzing bifurcation diagrams, we can see that the impulsive system shows two kinds of bifurcation, which are period-doubling and period-halving.
  • Predatorâprey system, impulsive invasion and washout, chemostat, complexity
  • RePEc:wsi:acsxxx:v:11:y:2008:i:01:p:65-76
Language
  • English
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