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On the optimality of the logistic growth (1988)

Gatto, M. ; Muratori, S. ; Rinaldi, S.

Springer

Journal of optimization theory and applications 57 (1988), S. 513-517

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ISSN: 1573-2878

Keywords: Optimal control ; population growth ; logistic equation

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF02346168

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