Stability properties of a model of parallel nerve fibers

DOI10.1016/0022-0396(81)90001-2zbMath0431.92010OpenAlexW2028286276MaRDI QIDQ1138504

Jonathan Bell, Chris Cosner

Publication date: 1981

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(81)90001-2

zbMATH Keywords

threshold behaviorFitzhugh-Nagumo equationscross diffusion termsimpulse conductionparallel nerves

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Stability of solutions to ordinary differential equations (34D20) Physiological, cellular and medical topics (92Cxx)

Related Items (4)

On the development of functionals which satisfy a maximum principle ⋮ Comparison principles for strongly coupled reaction diffusion equations in unbounded domains ⋮ Comparison principles for strongly coupled reaction-diffusion equations ⋮ Evolutionarily stable movement strategies in reaction-diffusion models with edge behavior

Cites Work

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• Qualitative theory of the Fitz Hugh-Nagumo equations
• Some properties of a simplified nerve equation
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• THE EXISTENCE OF PERIODIC SOLUTIONS TO NAGUMO'S EQUATION
• ON THE EXISTENCE OF HOMOCLINIC AND PERIODIC ORBITS FOR THE FITZHUGH-NAGUMO EQUATIONS
• A NOTE ON THE NAGUMO EQUATION
• On global solutions for mixed problem of a semi-linear differential equation
• The asymptotic behaviour of the solution of a semi-linear partial differential equation relatedto an active pulse transmission line

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