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Program Systems: Theory and Applications, 2014, Volume 5, Issue 5, Pages 37–44 (Mi ps144)  
Optimization Methods and Control Theory

On optimal control of a stationary populational model of a logistic type

Maxim Staritsyn

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences
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Abstract: We study optimal control problem for distribution of a biological population depending on distribution of nutrition of a given amount. The model is described by a nonlinear elliptic equation of logistic type with Dirichlet boundary conditions. The existence of an optimal solution is established. The main result is a proof of necessary optimality conditions. (In Russian).
Key words and phrases: elliptic partial differential equations, stationary populational models, optimal control, necessary optimality conditions.
Received: 07.12.2014
Accepted: 31.12.2014
Document Type: Article
UDC: 517.977.56, 517.977.57
Language: Russian
Citation: Maxim Staritsyn, “On optimal control of a stationary populational model of a logistic type”, Program Systems: Theory and Applications, 5:5 (2014), 37–44
Citation in format AMSBIB
\Bibitem{Sta14}
\by Maxim~Staritsyn
\paper On optimal control of a stationary populational model of a logistic type
\jour Program Systems: Theory and Applications
\yr 2014
\vol 5
\issue 5
\pages 37--44
\mathnet{http://mi.mathnet.ru/ps144}
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