Abstract
The purpose of this paper is to survey a number of the technical tools and models that have
found use in the study of human and other populations, and to indicate some problems of
current interest. These tools and models are varied: integral equations, nonlinear oscillations,
differential geometry, dynamical systems, nonlinear operations, bifurcation theory, semigroup
theory, martingale theory, Markov processes, diffusion processes, branching processes, ergodic
theory, prediction theory and state-space models. A fairly extensive bibliography is provided.
Also an Appendix has been added describing the analysis of a classical entomological data set.
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