Original Paper Area 1

Japan Journal of Industrial and Applied Mathematics

, Volume 27, Issue 3, pp 347-373

First online:

Speeds of traveling waves in some integro-differential equations arising from neuronal networks

  • Eiji YanagidaAffiliated withDepartment of Mathematics, Tokyo Institute of Technology Email author 
  • , Linghai ZhangAffiliated withDepartment of Mathematics, Lehigh University

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We study traveling waves of some integro-differential equations arising from synaptically coupled neuronal networks. We investigate the influence of synaptic couplings and parameter values on the propagation of waves, and derive lower and upper bounds of traveling speeds. We also compare speeds of waves for various types of synaptic couplings.


Integro-differential equations Traveling waves Speed index functions Synaptic couplings

Mathematics Subject Classification (2000)

45G10 92B20