Abstract:
A nonlinear parabolic integral problem arising in dynamic simulation of processes in activator–inhibitor systems is considered. Based on the asymptotic theory of such problems previously developed by the authors, the existence of solutions with boundary and internal layers is proved and their asymptotic behavior is found.
Key words:reaction-diffusion problem, singularly perturbed activator–inhibitor system, boundary and internal layers, asymptotic behavior of the solution.