Counter-propagating wave patterns in a swarm model with memory View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2019-02

AUTHORS

Angelika Manhart

ABSTRACT

Hyperbolic transport-reaction equations are abundant in the description of movement of motile organisms. Here, we focus on a system of four coupled transport-reaction equations that arises from an age-structuring of a species of turning individuals. By modeling how the behavior depends on the time since the last reversal, we introduce a memory effect. 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. More... »

PAGES

655-682

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00285-018-1287-x

DOI

http://dx.doi.org/10.1007/s00285-018-1287-x

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1106387817

PUBMED

https://www.ncbi.nlm.nih.gov/pubmed/30155779


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