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Zbl 0980.92027
AniĊ£a, Sebastian
Optimal harvesting for a nonlinear age-dependent population dynamics.
(English)
[J] J. Math. Anal. Appl. 226, No.1, 6-22 (1998). ISSN 0022-247X

Summary: We investigate an optimal harvesting problem for nonlinear age-dependent population dynamics. Existence and uniqueness of a positive solution for the model are demonstrated. The structure of the solution is also investigated. We establish the existence of the optimal control and the convergence of a certain fractional step scheme. For some approximating problems we obtain the optimal controllers in feedback form via the dynamic programming method.
MSC 2000:
*92D25 Population dynamics
49N90 Applications of optimal control and differential games
49J20 Optimal control problems with PDE (existence)

Keywords: nonlinear population dynamics; age-structured population; optimal harvesting

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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