On the optimality of the logistic growth

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1988 Italy English Publisher:Springer Science and Business Media LLCJournal:Journal of Optimization Theory and Applications, volume 57, pages 513-517 (issn: 0022-3239, eissn: 1573-2878,

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Authors: GATTO, MARINO; MURATORI, SIMONA; RINALDI, SERGIO;

doi: 10.1007/bf02346168

handle: 11311/664165

On the optimality of the logistic growth

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Abstract

The rate at which a population should grow is determined by finding the best trade-off between the loss due to the deviation from a target population size and the loss associated to the growing effort. It is also shown that, in the case of infinite-time horizon and quadratic loss functions, the optimal growth is logistic.

Country

Italy

Related Organizations

Polytechnic University of Milan
Italy

Keywords

optimal control, Population dynamics (general), Applications of mathematical programming, infinite-time horizon, population growth, quadratic loss, logistic equation, optimal growth

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