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Zbl 1102.49014
Fister, K.Renee; Lenhart, Suzanne
Optimal harvesting in an age-structured predator-prey model. (English)
[J] Appl. Math. Optimization 54, No. 1, 1-15 (2006). ISSN 0095-4616; ISSN 1432-0606/e

Summary: We investigate optimal harvesting control in a predator-prey model in which the prey population is represented by a first-order partial differential equation with age-structure and the predator population is represented by an ordinary differential equation in time. The controls are the proportions of the populations to be harvested, and the objective functional represents the profit from harvesting. The existence and uniqueness of the optimal control pair are established.
MSC 2000:
*49K20 Optimal control problems with PDE (nec./ suff.)
35F20 General theory of first order nonlinear PDE

Keywords: optimal control; age-structure; predator-prey

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