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Optimal control of age-structured populations

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System Modelling and Optimization

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 84))

Abstract

We consider optimal control of a population with continuous age and time structure. We prove that an optimal control exists, give the necessary optimality conditions, and derive some consequences.

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References

  1. GURTIN, M., MURPHY, L.: On the optimal harvesting of age-structured populations. In: Differential equations and applications in ecology, epidermics, and population problems (eds. S. Busenberg, K. Cooke), pp. 115–129. New York: Academic Press 1981.

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  2. GURTIN, M., MURPHY, L.: On the optimal harvesting of age-structured populations: Some simple models. Math. Biosci. 55 (1981), 115–136.

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  3. GURTIN, M., MURPHY, L.: On the optimal harvesting of persistent age-structured populations. J. Math. Biol. 13 (1981), 131–148.

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  4. GURTIN, M., MAC CAMY, R.: Non-linear age-dependent population dynamics. Arch. Rational Mech. Anal. 54 (1974), 281–300.

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  5. BROKATE, M.: Pontryagin's principle for control problems in age-dependent population dynamics. J. Math. Biol. (in press)

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A. Prékopa J. Szelezsáan B. Strazicky

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© 1986 Springer-Verlag

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Brokate, M. (1986). Optimal control of age-structured populations. In: Prékopa, A., Szelezsáan, J., Strazicky, B. (eds) System Modelling and Optimization. Lecture Notes in Control and Information Sciences, vol 84. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0043831

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  • DOI: https://doi.org/10.1007/BFb0043831

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16854-6

  • Online ISBN: 978-3-540-47138-7

  • eBook Packages: Springer Book Archive

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