Optimal Stationary Solution in Forest Management Model by Accounting Intra-species Competition
نویسندگان
چکیده
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. 2000 Math. Subj. Class. Primary: 49J15; Secondary: 34H05, 93C15, 93C95.
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