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Optimal Spatial Harvesting Strategy and Symmetry-Breaking

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Abstract

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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Authors and Affiliations

  1. Department of Mathematics, Tokyo Metropolitan University, 1-1 Minami-Ohsawa, Hachioji-shi, Tokyo, 192-0397, Japan

    Kazuhiro Kurata

  2. Department of Mathematics, College of William and Mary, Williamsburg, VA, 23187, USA

    Junping Shi

  3. School of Mathematics, Harbin Normal University, Harbin, Heilongjiang, China

    Junping Shi

Authors
  1. Kazuhiro Kurata
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  2. Junping Shi
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Correspondence to Kazuhiro Kurata.

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Kurata, K., Shi, J. Optimal Spatial Harvesting Strategy and Symmetry-Breaking. Appl Math Optim 58, 89–110 (2008). https://doi.org/10.1007/s00245-007-9032-7

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  • DOI: https://doi.org/10.1007/s00245-007-9032-7

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