کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4500998 1320038 2007 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Optimal harvesting and optimal vaccination
موضوعات مرتبط
علوم زیستی و بیوفناوری علوم کشاورزی و بیولوژیک علوم کشاورزی و بیولوژیک (عمومی)
پیش نمایش صفحه اول مقاله
Optimal harvesting and optimal vaccination
چکیده انگلیسی

Two optimization problems are considered: Harvesting from a structured population with maximal gain subject to the condition of non-extinction, and vaccinating a population with prescribed reduction of the reproduction number of the disease at minimal costs. It is shown that these problems have a similar structure and can be treated by the same mathematical approach. The optimal solutions have a ‘two-window’ structure: Optimal harvesting and vaccination strategies or policies are concentrated on one or two preferred age classes. The results are first shown for a linear age structure problem and for an epidemic situation at the uninfected state (minimize costs for a given reduction of the reproduction number) and then extended to populations structured by size, to harvesting at Gurtin–MacCamy equilibria and to vaccination at infected equilibria.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical Biosciences - Volume 206, Issue 2, April 2007, Pages 249–272
نویسندگان
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