Analysis of Age-Structure Models
Begin by developing a mathematical model for the growth of a population. Assume that the population is closed to migration, and that only the females are counted. Males are present for reproductive purposes, but are not specifically taken into consideration. In the case of human and other higher species, this makes sense for two reasons. Females know unequivocally who their offspring are; and (more importantly for the purposes of this model) females have a biologically well-defined beginning and end to their reproductive careers.
Unable to display preview. Download preview PDF.
- Coale, A.J. (1972). The Growth and Structure of Human Populations: A Mathematical Investigation. Princeton University PressGoogle Scholar
- Frauenthal, J.C. (1983). Some simple models of cannibalism. Math. Biosci. 63: 87–98Google Scholar
- Gurtin, M.E., MacCamy, R.C. (1979). Some simple models of nonlinear age dependent population dynamics. Math. Biosci. 43: 199–211Google Scholar
- Keyfitz, N. (1977). Introduction to the Mathematics of Population with Revisions. Addison-Wesley, Reading, Mass.Google Scholar
- Lopez, A. (1961). Weak ergodicity. In: Problems in Stable Population Theory. Office of Population Research, PrincetonGoogle Scholar
- McKendrick, A.C. (1926). Applications of mathematics to medical problems. Proc. Edinburgh Math. Soc. 44: 98–130Google Scholar
- Parlett, B. (1970). Ergodic properties of populations I: The one sex model. Theor. Pop. Biol. 1: 191–207Google Scholar
- Sharpe, F.R., Lotka, A.J. (1911). A problem in age distribution. Phil. Mag. 21: 435–438Google Scholar
- von Foerster, H. (1959). Some remarks on changing populations. In: The Kinetics of Cellular Proliferation. Grune and Stratton, New YorkGoogle Scholar