The existence of solitary wave solutions for the neuron model with conductance-resistance symmetry

AIMS Mathematics

article

Feifei Cheng¹  Ji Li²  Qing Yu² 

[1] Department of Mathematics and Physics, Henan University of Urban Construction;School of Mathematics and Statistics, Huazhong University of Science and Technology

关键词: neuron model;    traveling waves;    solitary wave solutions;    homoclinic orbits;    FitzHugh-Nagumo equation;   

DOI  :  10.3934/math.2023171

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

The neuron model with conductance-resistance symmetry was recently derived by Deng, which is similar to the Hodgkin-Huxley equation, referred to as CRS neuron model. In this paper, we will consider a 2-dimensional reduction model qualitatively similar to the FitzHugh-Nagumo equation. We first give the derivation of the CRS neuron model in propagating action potential. And then we prove the existence of solitary wave solution for the 2-dimensional reduced CRS neuron model by using phase diagram analysis.

【 授权许可】

CC BY