Numerical Algorithm for Spatial Segregation of Competitive Systems

Two novel iterative methods for a class of population models of competitive type are considered. This numerical solution is related to the positive solution as the competitive rate tends to infinity. Furthermore, the idea first is applied to an optimal partition problem.

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Bibliographic Details
Published in:SIAM journal on scientific computing 2009-01, Vol.31 (5), p.3946-3958
Main Author: Bozorgnia, Farid
Format: Article
Language:English
Subjects:
Algorithms
competing species
Competition
Computation
DIFFUSION SYSTEMS
ELLIPTIC-SYSTEMS
finite element
free boundary problems
Infinity
Iterative methods
MATEMATIK
Mathematical models
MATHEMATICS
NODAL DOMAINS
Numerical analysis
Optimization
Partitions
Segregations
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Description
Summary:Two novel iterative methods for a class of population models of competitive type are considered. This numerical solution is related to the positive solution as the competitive rate tends to infinity. Furthermore, the idea first is applied to an optimal partition problem.
ISSN:1064-8275
1095-7197
1095-7197
DOI:10.1137/080722588