Optimal Control of Population Dynamics

Journal of Optimization Theory and Applications - Tập 102 Số 1 - Trang 1-14 - 1999
Viorel Barbu1, Mimmo Iannelli2
1Department of Mathematics, University of Iasi, Iasi, Romania
2Department of Mathematics, University of Trento, Povo - Trento, Italy

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Từ khóa


Tài liệu tham khảo

Iannelli, M., Mathematical Theory of Age-Structured Population Dynamics, CNR Applied Mathematics Monographs, Giardini, Pisa, Vol. 7, 1995.

Barbu, V., and Iannelli, M., Controlling the SIS Epidemics, Proceedings of the Conference on Mathematical Models in Medical and Health Sciences, Nashville, Tennessee, edited by M. A. Horn, G. Simonett, G. F. Webb, 1998.

Anita, S., Iannelli, M., Kim, M. Y., and Park, E. J., Optimal Harvesting for Periodic Age-Dependent Population Dynamics, SIAM Journal on Application Analysis, Vol. 58, pp. 1648–1666, 1998.

Brokate, M., Pontryagin Principle for Control Problems in Age-Dependent Population Dynamics, Journal of Mathematical Biology, Vol. 23, pp. 75–101, 1985.

Chan, W. L., and Guo, B. Z., Optimal Birth Control of Population Dynamics, Journal of Mathematical Analysis and Applications, Vol. 144, pp. 532–552, 1989.

Chan, W. L., and Guo, B. Z., Optimal Birth Control of Population Dynamics, Part 2: Problems with Free Final Time, Phase Constraints, and Minimax Costs, Journal of Mathematical Analysis and Applications, Vol. 146, pp. 523–539, 1990.

Gurtin, M. E., and Murphy, L. F., On the Optimal Harvesting of Age-Structured Populations: Some Simple Models, Mathematical Bioscience, Vol. 55, pp. 115–136, 1981.

Gurtin, M. E., and Murphy, L. F., On the Optimal Harvesting of Persistent Age-Structured Populations, Journal of Mathematical Biology, Vol. 13, pp. 131–148, 1981.

Murphy, L. F., and Smith, S. J., Optimal Harvesting of an Age-Structured Population, Journal of Mathematical Biology, Vol. 29, pp. 77–90, 1990.

Ekeland, I., On the Variational Principle, Journal of Mathematical Analysis and Applications, Vol. 47, pp. 324–353, 1974.

Barbu, V., Mathematical Methods in the Optimization of Differential Systems, Kluwer Academic Publishers, Dordrecht, Holland, 1995.