Optimal Harvesting Theory for Predator-prey Metapopulations

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University of Adelaide, Department of Applied Mathematics, 1998 - Fish populations - 488 pages
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This thesis developed mathematical models of commercially exploited fish populations, addressing the question of how to harvest a predator-prey metapopulation. Optimal harvesting strategies are found using dynamic programming and Lagrange multipliers. Rules about harvesting source/sink populations, more/less vulnerable prey subpopulations and more/less efficient predator subpopulations are explored. Strategies for harvesting critical prey subpopulations are suggested.

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