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An Age and Spatially Structured Population Model for Swarm-Colony Development

Ph. LaurençotCh. Walker — 2008

Mathematical Modelling of Natural Phenomena

are bacteria that make strikingly regular spatial-temporal patterns on agar surfaces. In this paper we investigate a mathematical model that has been shown to display these structures when solved numerically. The model consists of an ordinary differential equation coupled with a partial differential equation involving a first-order hyperbolic aging term together with nonlinear degenerate diffusion. The system is shown to admit global weak solutions.

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