On the existence of traveling wave solutions and upper and lower bounds for some Fisher–Kolmogorov type equations

DOI10.1142/S1793524514500508zbMath1325.34059OpenAlexW2137205406MaRDI QIDQ2933548

Juan Belmonte-Beitia

Publication date: 3 December 2014

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524514500508

zbMATH Keywords

upper and lower solutionsheteroclinic orbitscenter manifoldnonlinear diffusionFisher-Kolmogorov equations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Invariant manifolds for ordinary differential equations (34C45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07)

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Cites Work

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• Explicit solutions of Fisher's equation for a special wave speed
• Existence and uniqueness of a sharp travelling wave in degenerate non- linear diffusion Fisher-KPP equations
• Mathematical biology. Vol. 1: An introduction.
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• Travelling wave phenomena in some degenerate reaction-diffusion equations
• Maximal displacement of branching brownian motion
• MATHEMATICAL MODELLING OF GLIOBLASTOMA TUMOUR DEVELOPMENT: A REVIEW

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