Traveling pulse solutions of a generalized Keller-Segel system with small cell diffusion via a geometric approach (Q2208466)
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| English | Traveling pulse solutions of a generalized Keller-Segel system with small cell diffusion via a geometric approach |
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Traveling pulse solutions of a generalized Keller-Segel system with small cell diffusion via a geometric approach (English)
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3 November 2020
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The authors prove the existence of traveling wave solutions of a Keller-Segel system in one space dimension. This fully parabolic chemotaxis model features slow cell diffusion and a general production of a chemoattractant term. Methods of singular perturbation theory and topological tools such as the Poincaré-Bendixson theorem are used.
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one-dimensional Keller-Segel system
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travelling wave solution
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singular perturbation
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