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Zbl 1043.92031
Fister, K.Renee; Lenhart, Suzanne
Optimal control of a competitive system with age-structure. (English)
[J] J. Math. Anal. Appl. 291, No. 2, 526-537 (2004). ISSN 0022-247X

Summary: We investigate optimal control of a first order partial differential equation (PDE) system representing a competitive population model with age structure. The controls are the proportions of the populations to be harvested, and the objective functional represents the profit from harvesting. The existence and unique characterization of the optimal control pair are established.

MSC 2000:: *92D25 Population dynamics
49N90 Applications of optimal control and differential games
49J20 Optimal control problems with PDE (existence)
49K20 Optimal control problems with PDE (nec./ suff.)
92D40 Ecology

Keywords: Age-structure; Competition

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Zentralblatt MATH Berlin [Germany]