Analysis of stochastic fitzhugh-nagumo equation for wave propagation in a neuron arising in certain neurobiology models

被引：4

作者：

Singh, S. ^{[1
]}

Ray, S. Saha ^{[1
]}

机构：

[1] Natl Inst Technol Rourkela, Dept Math, Rourkela 769008, Odisha, India

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2022年 / 15卷 / 05期

关键词：

Stochastic FitzHugh-Nagumo equation; Chebyshev spectral collocation; semi-implicit Euler-Maruyama scheme; Wiener process; LIMIT-CYCLES; STABILITY; SIMULATION; NETWORKS; DYNAMICS; SYSTEMS;

D O I：

10.1142/S1793524522500279

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, the numerical solution of stochastic FitzHugh-Nagumo equation (SFNE) has been obtained by Chebyshev spectral collocation. Semi-implicit Euler-Maruyama scheme has been used for temporal variable to discretize the stochastic FitzHugh-Nagumo equation. A detailed stability analysis for stochastic FitzHugh-Nagumo equation has also been discussed. Graphical representations of obtained results of the stochastic FitzHugh-Nagumo equation have been discussed to provide a clear idea about the behavior of the solutions.

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页数：17

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