This article is cited in 4 papers

Optimal exploitation of two competing size-structured populations

A. A. Davydov^ab, A. S. Platov<sup>a

a</sup> Vladimir State University
^b International Institute for Applied Systems Analysis, Laxenburg

Abstract: For a model describing the dynamics of two competing size-structured populations under chosen intensities of their exploitation, the existence and uniqueness of a stationary solution is proved. It is shown that there exist exploitation intensities that maximize a given profit functional on the stationary solution corresponding to them.

Keywords: size-structured population, optimal exploitation, stationary solution.

UDC: 517.977

Received: 30.07.2013

 English version: Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2014, 287, suppl. 1, S49–S54

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