The combined analyses of part I of this paper, ibid. 340, No. 1659, 447- 472 (1992; Zbl 0779.92029), and of the present paper provide a detailed understanding of the reaction-diffusion events that can be supported by the proposed model scheme. A priori bounds, general properties of the initial-value problem, are obtained mainly by applying the method developed by J. H. Merkin and D. J. Needham [J. Eng. Math. 23, No. 4, 343-356 (1989; Zbl 0707.76083)]. The numerical solutions of the initial-value problem are analysed on three important cases:
(a) In the reduced case, the concentrations attained at the rear of the wave are depending on the existence and temporal stability of a non- trivial steady state of the system. (b) In the contracting case, a constant non-zero value is achieved by the concentration of reactant \(A\), while the concentrations of autocatalyst \(B\) and reactant \(C\) are pulse- like and tend to zero at long times. (c) In the expanding case, a propagating wave front can be seen, but the concentrations behind the wave can grow in time.
Then, for all these cases permanent form travelling wave equations are investigated, obtaining the general solutions and properties, as well as the asymptotic solutions, valid for large concentrations of reactant \(A\).