Abstract：
: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.
journal_name
Math Bioscijournal_title
Mathematical biosciencesauthors
Hadeler KP,Müller Jdoi
10.1016/j.mbs.2005.09.001subject
Has Abstractpub_date
2007-04-01 00:00:00pages
249-72issue
2eissn
0025-5564issn
1879-3134pii
S0025-5564(05)00175-6journal_volume
206pub_type
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