2015•IMA Journal of Applied MathematicsRequires access
Pattern formation in a general glycolysis reaction-diffusion system
Jun Zhou, Junping Shi
Open publisher page 39 citations
Abstract
A general reaction–diffusion system modelling glycolysis is investigated. The parameter regions for the stability and instability of the unique constant steady-state solution is derived, and the existence of time-periodic orbits and non-constant steady-state solutions are proved by the bifurcation method and Leray–Schauder degree theory. The effect of various parameters on the existence and non-existence of spatiotemporal patterns is analysed.