Chaos in a food chain chemostat with pulsed input and washout

Yujuan Zhang, Zhilong Xiu and Lansun Chen

Chaos, Solitons & Fractals, 2005, vol. 26, issue 1, 159-166

Abstract: A food-chain chemostat with periodically pulsed input and washout is presented and analyzed. We prove that when the period of pulses is equal to some critical value, there exists a transcritical bifurcation. When the period is more than the critical value, the zooplankton-free periodic solution loses stability, and nutrient, phytoplankton and zooplankton coexist on a periodic solution of period T. If the period is further increase, the system undergoes a series of period-doubling bifurcations leading to chaos. Moreover, the system is also characterized by non-unique dynamic. Finally, we give a brief discussion and find that periodically pulsed input and washout destroys the equilibria of the unforced continuous system and initiates chaos.

Date: 2005
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:26:y:2005:i:1:p:159-166

DOI: 10.1016/j.chaos.2004.12.040

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