Optimal Harvesting in an Age-Structured Predator-Prey Model
Journal Article
·
· Applied Mathematics and Optimization
- Department of Mathematics, University of Tennessee, Knoxville, TN 37996-1300 (United States) and Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831-6016 (United States)
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.
- OSTI ID:
- 21067420
- Journal Information:
- Applied Mathematics and Optimization, Journal Name: Applied Mathematics and Optimization Journal Issue: 1 Vol. 54; ISSN 0095-4616
- Country of Publication:
- United States
- Language:
- English
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