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Numerical investigation of noise induced changes to the solution behaviour of the discrete FitzHugh-Nagumo equation

Ford, Neville J.
; 
Lima, Pedro M.
; 
Lumb, Patricia M.
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Affiliation
University of Chester, Instituto Superior Tecnico, University of Lisbon, University of Chester
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Publication Date
2016-09-08
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Mathematics
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Abstract
In this work we introduce and analyse a stochastic functional equation, which contains both delayed and advanced arguments. This equation results from adding a stochastic term to the discrete FitzHugh-Nagumo equation which arises in mathematical models of nerve conduction. A numerical method is introduced to compute approximate solutions and some numerical experiments are carried out to investigate their dynamical behaviour and compare them with the solutions of the corresponding deterministic equation.
Citation
Ford, N. J., Lima, P. M., & Lumb, P. M. (2017). Numerical investigation of noise induced changes to the solution behaviour of the discrete FitzHugh–Nagumo equation. Applied Mathematics and Computation, 293, 448-460. doi: http://dx.doi.org/10.1016/j.amc.2016.08.035
Publisher
Elsevier
Journal
Applied Mathematics and Computation
Research Unit
URI
http://hdl.handle.net/10034/619088
DOI
10.1016/j.amc.2016.08.035
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PubMed Central ID
Type
Article
Language
en
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ISSN
0096-3003
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