Geodesic
Boundary and internal layers in the reaction-diffusion problem with a nonlocal inhibitor
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 6, pp. 1081-1090

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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. 
@article{ZVMMF_2011_51_6_a9,
     author = {N. N. Nefedov and A. G. Nikitin},
     title = {Boundary and internal layers in the reaction-diffusion problem with a~nonlocal inhibitor},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1081--1090},
     publisher = {mathdoc},
     volume = {51},
     number = {6},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_6_a9/}
}
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N. N. Nefedov; A. G. Nikitin. Boundary and internal layers in the reaction-diffusion problem with a nonlocal inhibitor. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 6, pp. 1081-1090. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_6_a9/