J. L. Gamez, J. A. Montero (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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Uniqueness of the optimal control is obtained by assuming certain conditions on the crowding effect of the species. Moreover, an approximation procedure for the unique optimal control is developed.
J. L. Gámez, J. A. Montero (1997)
ESAIM: Control, Optimisation and Calculus of Variations
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Dzhgarkava, Dimitri T. (1997)
Memoirs on Differential Equations and Mathematical Physics
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N. C. Apreutesei (2010)
Mathematical Modelling of Natural Phenomena
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An optimal control problem is studied for a predator-prey system of PDE, with a logistic growth rate of the prey and a general functional response of the predator. The control function has two components. The purpose is to maximize a mean density of the two species in their habitat. The existence of the optimal solution is analyzed and some necessary optimality conditions are established. The form of the optimal control is found in some ...
Zaman, Gul (2011)
Computational & Mathematical Methods in Medicine
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Atle Seierstad (2013)
ESAIM: Control, Optimisation and Calculus of Variations
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Optimal nonanticipating controls are shown to exist in nonautonomous piecewise deterministic control problems with hard terminal restrictions. The assumptions needed are completely analogous to those needed to obtain optimal controls in deterministic control problems. The proof is based on well-known results on existence of deterministic optimal controls.
A. Pliś (1975)
Annales Polonici Mathematici
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