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| Titel: |
The cohort feedback model with symmetric net maternity |
| Auteur: |
Wachter, Kenneth W. |
| Verschenen in: |
Mathematical population studies |
| Paginering: | Jaargang 5 (1994) nr. 1 pagina's 25-44 |
| Jaar: |
1994-11 |
| Inhoud: |
Demographic cohort feedback models were introduced by Ronald D. Lee in 1974. In these non-linear models, a cohort's net reproduction ratio responds inversely to cohort size at birth, while the shape of the net maternity function remains constant. For certain response strengths such a model leads to sustained cycles in the trajectory of births. Suppose that the net maternity function is symmetric under reflection around some mean age of childbearing. I prove that the model then has cyclic solutions with period exactly equal to twice the mean age of childbearing not merely in a neighborhood of equilibrium but for a range of parameter values which is unbounded in a certain suitable sense. Sobolev space methods are introduced for the theorem's proof. This “global”; bifurcation theorem for the cohort feedback model with symmetric net maternity provides a benchmark case for understanding the characteristics of non-linear population waves of realistic size. |
| Uitgever: |
Routledge |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 9 van 9 gevonden artikelen
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