期刊
APPLIED MATHEMATICS AND OPTIMIZATION
卷 58, 期 1, 页码 89-110出版社
SPRINGER
DOI: 10.1007/s00245-007-9032-7
关键词
reaction-diffusion; harvesting; optimal spatial effort function; symmetry breaking
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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