Section: New Results

Qualitative/quantitative analysis of a delayed chemical model

Participants : Islam Boussaada, Silviu-Iulian Niculescu, Hakki Unal [Anadolu University] .

The Belousov-Zhabotinsky reaction is a complex chemical reaction exhibiting sustained oscillations observed in some real biological oscillators. However, its oscillatory behavior is represented by a simple mechanism, called the Oregonator. A qualitative/quantitative analysis of a two-delay Oregonator based chemical oscillator is considered where the delay effect in dynamics is investigated; the existence of positive equilibrium point, the stability and boundedness of solutions for positive initial conditions are explored [27].