کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4501106 1320045 2007 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The structure of optimal time- and age-dependent harvesting in the Lotka–McKendrik population model
موضوعات مرتبط
علوم زیستی و بیوفناوری علوم کشاورزی و بیولوژیک علوم کشاورزی و بیولوژیک (عمومی)
پیش نمایش صفحه اول مقاله
The structure of optimal time- and age-dependent harvesting in the Lotka–McKendrik population model
چکیده انگلیسی

The paper analyzes optimal harvesting of age-structured populations described by the Lotka–McKendrik model. It is shown that the optimal time- and age-dependent harvesting control involves only one age at natural conditions. This result leads to a new optimization problem with the time-dependent harvesting age as an unknown control. The integral Lotka model is employed to explicitly describe the time-varying age of harvesting. It is proven that in the case of the exponential discounting and infinite horizon the optimal strategy is a stationary solution with a constant harvesting age. A numeric example on optimal forest management illustrates the theoretical findings. Discussion and interpretation of the results are provided.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical Biosciences - Volume 208, Issue 1, July 2007, Pages 48–62
نویسندگان
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