OPTIMAL FISH HARVESTING FOR A POPULATION MODELED BY A NONLINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATION
As the human population continues to grow, there is a need for better management of our natural resources in order for our planet to be able to produce enough to sustain us. One important resource we must consider is marine fish populations. We use the tool of optimal control to investigate harvesti...
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| Veröffentlicht in: | Natural resource modeling 2016-02, Vol.29 (1), p.36-70 |
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| container_title | Natural resource modeling |
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| creator | KELLY JR, MICHAEL R. XING, YULONG LENHART, SUZANNE |
| description | As the human population continues to grow, there is a need for better management of our natural resources in order for our planet to be able to produce enough to sustain us. One important resource we must consider is marine fish populations. We use the tool of optimal control to investigate harvesting strategies for maximizing yield of a fish population in a heterogeneous, finite domain. We determine whether these solutions include no‐take marine reserves as part of the optimal solution. The fishery stock is modeled using a nonlinear, parabolic partial differential equation with logistic growth, movement by diffusion and advection, and with Robin boundary conditions. The objective for the problem is to find the harvest rate that maximizes the discounted yield. Optimal harvesting strategies are found numerically. |
| doi_str_mv | 10.1111/nrm.12073 |
| format | Article |
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| ispartof | Natural resource modeling, 2016-02, Vol.29 (1), p.36-70 |
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| language | eng |
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| source | Wiley Online Library Journals Frontfile Complete |
| subjects | Fish fisheries harvesting Marine Marine conservation optimal control theory Partial differential equations |
| title | OPTIMAL FISH HARVESTING FOR A POPULATION MODELED BY A NONLINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATION |
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