Global Existence and Boundedness of Solutions to a Model of Chemotaxis

A model of chemotaxis is analyzed that prevents blow-up of solutions. The model consists of a system of nonlinear partial differential equations for the spatial population density of a species and the spatial concentration of a chemoattractant in n-dimensional space. We prove the existence of soluti...

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Bibliographic Details
Main Authors: Dyson, J, Villella-Bressan, R, Webb, G
Format: Journal article
Language:English
Published: 2008