Publication Cover
Mathematical Population Studies
An International Journal of Mathematical Demography
Volume 6, 1997 - Issue 4
25
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

Exploring cyclic net reproduction

&
Pages 277-290 | Received 20 Jun 1996, Published online: 21 Sep 2009

References

  • Coale , A.J. 1972 . The Growth and Structure of Human Populations , Princeton : Princeton Univ. Press .
  • Easterlin , R.A. 1961 . The American baby boom in historical perspective . American Economic Review , 51 : 860 – 911 .
  • Easterlin , R.A. 1968 . Population, Labor Force, and Long Swings in Economic Growth , New York : National Bureau of Economic Research .
  • Frauenthal , J. and Swick , K. 1983 . Limit cycle oscillations of the human population . Demography , 20 : 285 – 298 .
  • Keyfitz , N. 1977 . Introduction to the Mathematics of Population , (revised edition) , Reading, MA : Addison‐Wesley .
  • Kim , Y.J. and Schoen , R. 1996 . Populations with sinusoidal birth trajectories . Theoretical Population Biology , 50 : 105 – 123 .
  • Lee , R.D. 1974 . The formal dynamics of controlled populations and the Echo, the Boom, and the Bust . Demography , 11 : 563 – 585 .
  • Mitra , S. 1990 . A birth model with oscillating rate of growth . Janasamkhya , 8 : 35 – 40 .
  • Namboodiri , N.K. 1969 . On the dependence of age structure on a sequence of mortality and fertility schedules: An exposition of a cyclical model of population change . Demography , 6 : 287 – 299 .
  • Samuelson , P. 1976 . An economist's non‐linear model of self‐generated fertility waves . Population Studies , 30 : 243 – 247 .
  • Schoen , R. and Kim , Y.J. 1994a . Cyclically stable populations . Mathematical Population Studies , 4 : 283 – 295 .
  • Schoen , R. and Kim , Y.J. Hyperstability . Paper Presented at the Annual Meeting of the Population Association of America . Miami, FL.
  • Skellam , J.G. Seasonal periodicity in theoretical population ecology . Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, Vol. 4, Biology and Problems of Health . Edited by: Lecam , L. and Neyman , J. Vol. 4 , pp. 179 – 205 . Berkeley : University of California .
  • Tuljapurkar , S. 1985 . Population dynamics in variable environments. VI. Cyclical environments . Theoretical Population Biology , 28 : 1 – 17 .
  • Tuljapurkar , S. 1986 . Cycles in nonlinear age‐structured models: I. Renewal equations . Theoretical Population Biology , 32 : 26 – 40 .
  • Wachter , K.W. 1991 . Elusive cycles: Are there dynamically possible Lee‐Easterlin cycles for U.S. births? . Population Studies , 45 : 109 – 135 .
  • Wachter , K.W. 1994 . The cohort feedback model with symmetric net maternity . Mathematical Population Studies , 5 : 25 – 44 .
  • Wachter , K.W. and Lee , R.D. 1989 . U.S. births and limit cycle models . Demography , 26 : 99 – 115 .
  • Corresponding author.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.