Journal
APPLIED MATHEMATICS AND OPTIMIZATION
Volume 58, Issue 1, Pages 89-110Publisher
SPRINGER
DOI: 10.1007/s00245-007-9032-7
Keywords
reaction-diffusion; harvesting; optimal spatial effort function; symmetry breaking
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A reaction-diffusion model with logistic growth and constant effort harvesting is considered. By minimizing an intrinsic biological energy function, we obtain an optimal spatial harvesting strategy which will benefit the population the most. The symmetry properties of the optimal strategy are also discussed, and related symmetry preserving and symmetry breaking phenomena are shown with several typical examples of habitats.
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