Optimal Spatial Harvesting Strategy and Symmetry-Breaking
Journal Article
·
· Applied Mathematics and Optimization
- Tokyo Metropolitan University, Department of Mathematics (Japan)
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.
- OSTI ID:
- 21241986
- Journal Information:
- Applied Mathematics and Optimization, Vol. 58, Issue 1; Other Information: DOI: 10.1007/s00245-007-9032-7; Copyright (c) 2008 Springer Science+Business Media, LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0095-4616
- Country of Publication:
- United States
- Language:
- English
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