Author
Dyson, J
Villella-Bressan, R
Webb, G
Journal title
Mathematical Modelling of Natural Phenomena
DOI
10.1051/mmnp:2008039
Issue
7
Volume
3
Last updated
2021-10-19T13:19:09.643+01:00
Page
17-35
Abstract
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 solutions, which exist globally, and are L∞-bounded on finite time intervals. The hypotheses require nonlocal conditions on the species-induced production of the chemoattractant.
Symplectic ID
124426
Publication type
Journal Article
Publication date
1 January 2008
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