Fluctuations and correlations in population models with age structure

Citation
M. Howard et Rkp. Zia, Fluctuations and correlations in population models with age structure, INT J MOD B, 15(4), 2001, pp. 391-402
Citations number
28
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
ISSN journal
02179792 → ACNP
Volume
15
Issue
4
Year of publication
2001
Pages
391 - 402
Database
ISI
SICI code
0217-9792(20010210)15:4<391:FACIPM>2.0.ZU;2-D
Abstract
S;Ve study the fluctuations and correlations in a stochastic age-structured population model. Our model, which is closely related to certain "bit-stri ng" models of evolution, incorporates survival probabilities that are densi ty dependent, and also allows for varying reproductive probabilities as a f unction of age. We first solve for the simple steady-state of the determini stic version of our model, where all fluctuations and correlations are negl ected. We then develop analytic techniques to calculate stochastic Gaussian corrections around this deterministic solution. This allows for a systemat ic, perturbative calculation of the population fluctuations and correlation s. Away from the bifurcation point of the deterministic model we find good agreement with Monte-Carlo simulations.