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S. Wrzaczek, M Kuhn, A. Fürnkranz-Prskawetz, G. Feichtinger:
"The Reproductive Value in Distributed Optimal Control Models";
Theoretical Population Biology, Vol. 77 (2010), 3; S. 164 - 170.

We show that in a large class of distributed optimal control models (DOCM), where
population is described by a McKendrick type equation with an endogenous number of
newborns, the reproductive value of Fisher shows up as part of the shadow price of the
population. Depending on the objective function, the reproductive value may be negative.
Moreover, we show results of the reproductive value for changing vital rates. To motivate
and demonstrate the general framework, we provide examples in health economics,
epidemiology, and population biology.

Reproductive value, distributed optimal control theory, McKendrick, shadow price,