Wave fronts in neuronal fields with nonlocal post-synaptic axonal connections and delayed nonlocal feedback connections

DOI10.3934/MBE.2010.7.421zbMath1259.35208OpenAlexW1976224428WikidataQ51698308 ScholiaQ51698308MaRDI QIDQ1942361

Felicia Maria G. Magpantay, Xingfu Zou

Publication date: 19 March 2013

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1fbcd4d49dfc420789093a9833d79b344264244b

zbMATH Keywords

delay feedback integro-differential equation neuronal networks travelling wave front spatially non-local speed index function

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Integro-partial differential equations (35R09)

Related Items (6)

Traveling wave solutions to a neural field model with oscillatory synaptic coupling types ⋮ Wave speed analysis of traveling wave fronts in delayed synaptically coupled neuronal networks ⋮ Existence and uniqueness of wave fronts in neuronal network with nonlocal post-synaptic axonal and delayed nonlocal feedback connections ⋮ Existence of wave front solutions of an integral differential equation in nonlinear nonlocal neuronal network ⋮ Distributed nonlocal feedback delays May destabilize fronts in neural fields, distributed transmission delays do not ⋮ Existence and Uniqueness of Traveling Fronts in Lateral Inhibition Neural Fields with Sigmoidal Firing Rates

This page was built for publication: Wave fronts in neuronal fields with nonlocal post-synaptic axonal connections and delayed nonlocal feedback connections