Age-dependent population dynamics based on parity interval progression (Q1200848)

The authors develop a microscopic population model based on the concepts of birth parity or order (number of births) and birth interval. They believe that age structure alone is not adequate to explain the dynamics of human populations. In particular, they are interested in birth control strategies involving both birth parity and birth interval and building up a framework for integrating micro-level birth analysis into macro-level studies of fertility and population growth trends. The author's model is a controlled age-dependent population equation based on the above concepts. The asymptotic properties for the stationary case are studied by investigating the spectrum of the corresponding population operator in the semigroup framework.