Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1900361 | Reports on Mathematical Physics | 2015 | 18 Pages |
Abstract
We study a system of differential equations simulating transport phenomena in active structured media. The model is a generalization of McKean's modification of the celebrated FitzHugh-Nagumo system, describing the nerve impulse propagation in axon. It takes into account the effects of memory, connected with the presence of internal structure. We construct explicitly the localized traveling wave solutions and analyze their stability.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
W. Likus, V.A. Vladimirov,