Fluctuations and correlations in population models with age structure

Details Fluctuations and correlations in population models with age structure Fluctuations and correlations in population models with age structure

2000-01-12

arxiv.org/abs/cond-mat/0001172v1

Int. J. Mod. Phys. B 15 391 (2001)

Physics

Condensed Matter

Statistical Mechanics

4 pages

Scientific paper

10.1142/S0217979201004538

We study the population profile in a simple discrete time model of population dynamics. Our model, which is closely related to certain ``bit-string'' models of evolution, incorporates competition for resources via a population dependent death probability, as well as a variable reproduction probability for each individual as a function of age. We first solve for the steady-state of the model in mean field theory, before developing analytic techniques to compute Gaussian fluctuation corrections around the mean field fixed point. Our computations are found to be in good agreement with Monte-Carlo simulations. Finally we discuss how similar methods may be applied to fluctuations in continuous time population models.

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