Authors: Jean-Paul MORILLON
Comments: 8 Pages.
A reaction-diffusion system based on some biological systems, arising in enzymatic reactions, has been considered. The iterative method by means of a fixed point theorem has been applied in order to solve this system of coupled nonlinear partial differential equations. The existence, uniqueness and positiveness of the solution to system with Robin-type boundary condition have been obtained. A biochemical system has been extended and solved analytically. Quasi-steady states and linear stability analysis have been proved.