QUALITATIVE ANALYSIS OF DELAYED-CONCENTRATION IN OREGONATOR-BASED CHEMICAL OSCILLATORS

Year 2018, Volume: 19 Issue: 3, 637 - 644, 01.09.2018

Hakki Ulaş Ünal

Abstract

Beulosuv-Zhabotonksiy reaction is pure chemical reaction that exhibits sustained and relaxed oscillations, which are analgous to observed oscillations in many biological systems. The reaction is very complicated, however, its oscillatory mechanism is represented by a simple model, called the Oregonator. Since delays naturally appear in chemical reactions and they are often responsible for presence of complex behaviours, delay effects in Beulosuv-Zhabotonksiy reaction should be considered to better explain the mechanism of some biochemical oscillations. In this work, qualitative and asymptotic analysis of the Oregonator model by taking into account the delays arising due to the physical constraints will be considered. Some numerical results will given to present some certain properties of the considered model.

Keywords

Biochemical oscillations, time-delay systems, BZ reaction

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