Volume 50 - Article 6 | Pages 171–184  

The optimal transition to a stationary population for concentrated vitality rates

By Gustav Feichtinger, Stefan Wrzaczek

References

Bourgeois-Pichat, J. (1971). La démographie. Collection Idées. Paris: Gallimard.

Download reference:

Bourgeois-Pichat, J. and Taleb, S.A. (1970). Un taux d’accroissement nul pour les pays en voie de développement en l’an 2000. Rêveou réalité? Population (FrenchEdition 25(5): 957.

Weblink:
Download reference:

Coale, A.J. (1972). Growth and structure of human populations. A mathematical investigation. Princeton, NJ: Princeton University Press.

Download reference:

Feichtinger, G., Kuhn, M., Prskawetz, A., and Wrzaczek, S. (2011). The reproductive value as part of the shadow price of population. Demographic Research 24(28): 709–718.

Weblink:
Download reference:

Feichtinger, G., Tragler, G., and Veliov, V.M. (2003). Optimality conditions for age-structured control systems. Journal of Mathematical Analysis and Applications 288(1): 47–68.

Weblink:
Download reference:

Feichtinger, G. and Wrzaczek, S. (2023). The optimal momentum of population growth and decline. Theoretical Population Biology 155: 51–66.

Weblink:
Download reference:

Fisher, R.A. (1930). The genetical theory of natural selection. Oxford: Clarendon Press.

Weblink:
Download reference:

Gauthier, A.H. (2007). The impact of family policies on fertility in industrialized countries: A review of the literature. Population Research and Policy Review 26(3): 323–346.

Weblink:
Download reference:

Keyfitz, B. and Keyfitz, N. (1997). The McKendrick partial differential equation and its uses in epidemiology and population study. Mathematical and Computer Modelling 26(6): 1–9.

Weblink:
Download reference:

Keyfitz, N. (1971). On the momentum of population growth. Demography 8(1): 71–80.

Weblink:
Download reference:

Sobotka, T., Matysiak, A., and Brzozowska, Z. (2019). Policy responses to low fertility: How effective are they? UNFPA working paper series. Working paper (1).

Download reference:

Wrzaczek, S., Kuhn, M., Prskawetz, A., and Feichtinger, G. (2010). The reproductive value in distributed optimal control models. Theoretical Population Biology 77(3): 164–170.

Weblink:
Download reference:

Back to the article