Nefedov, N. N.; Nikitin, A. G. Boundary and internal layers in the reaction-diffusion problem with a nonlocal inhibitor. (Russian, English) Zbl 1249.35159 Zh. Vychisl. Mat. Mat. Fiz. 51, No. 6, 1081-1090 (2011); translation in Comput. Math. Math. Phys. 51, No. 6, 1011-1018 (2011). Summary: 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. Cited in 3 Documents MSC: 35K57 Reaction-diffusion equations Keywords:reaction-diffusion problem; singularly perturbed activator-inhibitor system; boundary layers; internal layers PDFBibTeX XMLCite \textit{N. N. Nefedov} and \textit{A. G. Nikitin}, Zh. Vychisl. Mat. Mat. Fiz. 51, No. 6, 1081--1090 (2011; Zbl 1249.35159); translation in Comput. Math. Math. Phys. 51, No. 6, 1011--1018 (2011) Full Text: DOI