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Time evolution of the Partridge-Barton Model

Roberto N. Onody·Nazareno G. F. de Medeiros
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Abstract

The time evolution of the Partridge-Barton model in the presence of the pleiotropic constraint and deleterious somatic mutations is exactly solved for arbitrary fecundity in the context of a matricial formalism. Analytical expressions for the time dependence of the mean survival probabilities are derived. Using the fact that the asymptotic behavior for large time $t$ is controlled by the largest matrix eigenvalue, we obtain the steady state values for the mean survival probabilities and the Malthusian growth exponent. The mean age of the population exhibits a $t^{-1}$ power law decayment. Some Monte Carlo simulations were also performed and they corroborated our theoretical results.

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Roberto N. Onody, Nazareno G. F. de Medeiros. 2000-05-16. Time evolution of the Partridge-Barton Model. https://doi.org/10.1103/physreve.61.5664

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