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Stability analysis of a stochastic model for biomolecular selection

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Abstract

The technique of the probability generating function is used to derive the stochastic differential equations for a nonlinear model based on Eigen and Schuster's theory of biomolecular selection and evolution. The stabilities of various steady states are analyzed by using the linear stability approximation. The instability of a small starting population is investigated numerically. The minimum starting populations required for steady-state survival are then estimated for a wide range of parameters.

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Authors and Affiliations

  1. Physics Department, National Central University, 320, Chung-li, Taiwan, Republic of China

    H. K. Leung

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  1. H. K. Leung
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Leung, H.K. Stability analysis of a stochastic model for biomolecular selection. Bltn Mathcal Biology 46, 399–406 (1984). https://doi.org/10.1007/BF02462015

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  • DOI: https://doi.org/10.1007/BF02462015

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