@article{Cheng2023, 
author = {Feifei Cheng and Ji Li and Qing Yu},
title = {The existence of solitary wave solutions for the neuron model with conductance-resistance symmetry},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {2},
pages = {3322-3337},
keywords = {neuron model, solitary wave solutions, traveling waves, FitzHugh-Nagumo equation, homoclinic orbits},
url = {https://www.sciopen.com/article/10.3934/math.2023171},
doi = {10.3934/math.2023171},
abstract = {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.}
}