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

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

Authors:   Davydov AA, Platov AS

Publication Year:   2012

Reference:  Moscow Mathematical Journal, 12(2):269-273 (April-June 2012)

Available at www.ams.org/distribution/mmj/vol12-2-2012/cont12-2-2012.html

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.
KEYWORDS: Calculus of variations and optimal control; Stationary solution

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