Tuljapurkar S
Physics/Environmental Science, Portland University, Oregon 97207.
Theor Popul Biol. 1987 Aug;32(1):26-41. doi: 10.1016/0040-5809(87)90037-2.
A variety of density-dependent population models can be described by nonlinear renewal equations. This paper develops analytical tools for such models to study the sustained population cycles which arise by bifurcation. The results obtained describe explicitly the direction of bifurcation, and the period, form, and dynamic stability of sustained cycles. The results are illustrated by application to a cohort-controlled model of human populations which has been proposed as a formalization of the Easterlin effect.
