ANALYSIS OF A MODEL SCHEME INCORPORATING REACTANT INHIBITION - INSTABILITY OF HOMOGENEOUS SOLUTION AND FORMATION OF SPATIOTEMPORAL STRUCTURES

A model scheme incorporating reactant inhibition in the rate process h as been analyzed with a view to study the instability of homogeneous s olution due to diffusion. Conditions for the occurrence of Turing as w ell as phase instability are derived and show the existence of multipl icity in the parameter space. The Ginzburg-Landau equation for the sys tem is developed and solved numerically in various regions of the para meter space. The simple model system shows the existence of very rich behavior including normal and inverted bifurcations in the super and s ubcritical regimes. The various results are analyzed and discussed.