Modeling chemotaxis with nonstandard production/degradation mechanisms from Doebner-Goldin theory: existence of solitary waves

Alejo Planas, Miguel Ángel; López Fernández, José Luis

doi:10.1016/j.physd.2021.132989

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Identificadores

URI: https://hdl.handle.net/10481/109429

DOI: 10.1016/j.physd.2021.132989

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Editorial

Elsevier

Materia

Keller-Segel system

Chemotaxis

Solitary waves

Fecha

2021-07-05

Referencia bibliográfica

Publisher version: Alejo Planas, M. A. y López Fernández, J. L. (2021). Physica D: Nonlinear Phenomena Volume 426, 15 November 2021, 132989. https://doi.org/10.1016/j.physd.2021.132989

Patrocinador

MINECO-Feder (Spain), research grant number RTI2018-098850-B-I00; Junta de Andalucía Project PY18-RT-2422 & A-FQM-31-UGR18

Resumen

In this paper we investigate various forms of the chemical production-degradation mechanism in a chemotactic system of Keller-Segel type under which the existence of solitary wave solutions is guaranteed. Specifically, the existence of sech-type or compactly supported solitary wave solutions as well as exponential traveling wave profiles for the cell concentration is shown under certain conditions on the physical parameters

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DMA - Artículos

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