Work

Selection mechanisms in front invasion

Year: 2025

Type: preprint

Abstract: We review progress on questions related to front propagation into unstable states and point out open problems in the area. We strive to highlight different theoretical perspectives and challenges while also addressing more practical questions with examples and guides to computational methods. Throughout we take a dynamical systems point of view that focuses on the ability of invasion processes to act as a selection mechanism in complex systems.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2512.07764

Authors: Avery, Montie, Holzer, Matt, Scheel, Arnd

Institutions: Emory University, George Mason University, University of Minnesota

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: green

Funder: National Science Foundation

Awards: PostDoctoral Research Fellowship, Anomalous Phase Transitions in Complex Systems, Critical Phenomena in Coherent Structure Formation, Dynamics of reaction-diffusion equations on networks and other spatially extended systems, Pattern selection by invasion fronts

OpenAlex ID: W7110875183

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