P. Rajani et al., ANALYSIS OF A MODEL SCHEME INCORPORATING REACTANT INHIBITION - INSTABILITY OF HOMOGENEOUS SOLUTION AND FORMATION OF SPATIOTEMPORAL STRUCTURES, International journal of chemical kinetics, 25(7), 1993, pp. 509-520
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.