Optimal stationary solution in forest management model by accounting intra-species competition

Davydov, A.A. & Platov, A.S. (2012). Optimal stationary solution in forest management model by accounting intra-species competition. Moscow Mathematical Journal 12 (2) 269-273.

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Abstract

We consider a model of exploitation of a size-structured population when the birth, growth and mortality rates depend on the individual size and interspecies competition, while the exploitation intensity is a function of the size only. For a given exploitation intensity and under natural assumptions on the rates, we establish existence and uniqueness of a nontrivial stationary state of the population. In addition, we prove existence of an exploitation intensity which maximizes a selected profit functional of exploitation.

Item Type:	Article
Uncontrolled Keywords:	Calculus of variations and optimal control; Stationary solution
Research Programs:	Advanced Systems Analysis (ASA)
Bibliographic Reference:	Moscow Mathematical Journal; 12(2):269-273 (April-June 2012)
Depositing User:	IIASA Import
Date Deposited:	15 Jan 2016 08:46
Last Modified:	27 Aug 2021 17:39
URI:	https://pure.iiasa.ac.at/9871

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