Structural stability for the Morris–Lecar neuron model

Zhenhai Liu, Salih Tatar, Süleyman Ulusoy and Mustafa Zeki

Applied Mathematics and Computation, 2015, vol. 270, issue C, 261-268

Abstract: This paper is concerned with the biological neuron model of Morris–Lecar system of equations (Morris and Lecar, 1981) [17]. We prove the existence and uniqueness of strong solutions. In addition, we prove the continuous dependence of solutions to the leak conductance parameter.

Keywords: Morris–Lecar equations; Structural stability; Continuous dependence; Strong solution; Well-posedness (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:270:y:2015:i:c:p:261-268

DOI: 10.1016/j.amc.2015.08.031

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