Optimal Harvesting in a Periodic Food Chain Model with Size Structures in Predators
Journal Article
·
· Applied Mathematics and Optimization
- Yuncheng University, Department of Applied Mathematics (China)
- Lvliang University, Department of Mathematics (China)
In this paper, we investigate a periodic food chain model with harvesting, where the predators have size structures and are described by first-order partial differential equations. First, we establish the existence of a unique non-negative solution by using the Banach fixed point theorem. Then, we provide optimality conditions by means of normal cone and adjoint system. Finally, we derive the existence of an optimal strategy by means of Ekeland’s variational principle. Here the objective functional represents the net economic benefit yielded from harvesting.
- OSTI ID:
- 22617079
- Journal Information:
- Applied Mathematics and Optimization, Journal Name: Applied Mathematics and Optimization Journal Issue: 2 Vol. 75; ISSN 0095-4616
- Country of Publication:
- United States
- Language:
- English
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