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Monostable-Type Travelling Wave Solutions of the Diffusive FitzHugh-Nagumo-Type System in ð ‘ ð ‘

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  • Chih-Chiang Huang

Abstract

This paper is concerned with monostable-type travelling wave solutions of the diffusive FitzHugh-Nagumo-type system (FHN) in ð ‘ ð ‘ for the two components ð ‘¢ and ð ‘£ . By solving ð ‘£ in terms of ð ‘¢ , this system can be reduced to a nonlocal single equation for ð ‘¢ . When the diffusion coefficients in the system are equal, we construct travelling wave solutions for the non-local equation by the method of super- and subsolutions developed by Morita and Ninomiya (2008) Moreover, we propose a condition for ð ›¾ , which is similar to the condition Reinecke and Sweers (1999) used to transform (FHN) into a quasimonotone system.

Suggested Citation

  • Chih-Chiang Huang, 2012. "Monostable-Type Travelling Wave Solutions of the Diffusive FitzHugh-Nagumo-Type System in ð ‘ ð ‘," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-9, July.
    • Handle: RePEc:hin:jnlaaa:735675
    DOI: 10.1155/2012/735675
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