Counter-propagating waves in a system of transport-reaction equations

Angelika Manhart

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arXiv · 1801.06869

Counter-propagating waves in a system of transport-reaction equations

Angelika Manhart

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Abstract

Hyperbolic transport-reaction equations are abundant in the description of movement of motile organisms. Here, we focus on system of four coupled transport-reaction equations that arises from an age-structuring of a species of turning individuals. The highlight consists of the explicit construction and characterization of counter-propagating traveling waves, patterns which have been observed in bacterial colonies. Stability analysis reveals conditions for the wave formation as well as pulsating-in-time spatially constant solutions.

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Angelika Manhart. 2018-01-21. Counter-propagating waves in a system of transport-reaction equations. https://arxiv.org/abs/1801.06869

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