Published June 2006 | Version v1
Journal article Metadata-only

Optimal Harvesting in an Age-Structured Predator-Prey Model

Creators

  • 1. Department of Mathematics and Statistics, Murray State University, Murray, KY 42071-3341 (United States)
  • 2. 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)

Description

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

Additional details

Identifiers

DOI
10.1007/s00245-005-0847-9;

Publishing Information

Journal Title
Applied Mathematics and Optimization
Journal Volume
54
Journal Issue
1
Journal Page Range
p. 1-15
ISSN
0095-4616

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39081489
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CONTROL THEORY; GAME THEORY; HARVESTING; OPTIMAL CONTROL; PARTIAL DIFFERENTIAL EQUATIONS; POPULATIONS
Descriptors DEC
CONTROL; DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICS; STATISTICS

Optional Information

Copyright
Copyright (c) 2006 Springer
Notes
www.springer-ny.com