Abstract
In this paper, we discuss the optimal harvesting in age-structured populations. We characterize the optimal controls for finite-horizon problems and describe a scheme to approximate them. We also give an analysis of the infinite-horizon problem as a function of a bifurcation parameter.
Similar content being viewed by others
References
Gurtin, M., andMurphy, L.,On the Optimal Harvesting of Persistent Age-Structured Populations, Journal of Mathematical Biology, Vol. 13, No. 2, pp. 131–148, 1981.
Brokate, M.,Pontryagin's Principle for Control Problems in Age-Dependent Population Dynamics, Journal of Mathematical Biology, Vol. 23, No. 1, pp. 75–101, 1985.
Chan, W. L., andGuo, B. Z.,Optimal Birth Control of Population Dynamics, II: Problems with Final Time, Phase Constraints, and Minimax Costs, Journal of Mathematical Analysis and Applications, Vol. 146, No. 2, pp. 523–539, 1990.
Bensoussan, A.,Perturbation Methods in Optimal Control, John Wiley and Sons, New York, New York, 1988.
Swart, J. H.,Viable Controls in Age-Dependent Population Dynamics, Journal of Mathematical Biology, Vol. 27, No. 3, pp. 297–308, 1989.
Author information
Authors and Affiliations
Additional information
Communicated by L. D. Berkovitz
This research was supported by NSF Grant R11-89-05084.
Rights and permissions
About this article
Cite this article
Medhin, N.G. Optimal harvesting in age-structured populations. J Optim Theory Appl 74, 413–423 (1992). https://doi.org/10.1007/BF00940318
Issue Date:
DOI: https://doi.org/10.1007/BF00940318