Stability analysis of a stochastic model for biomolecular selection |
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Authors: | H. K. Leung |
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Affiliation: | (1) Physics Department, National Central University, 320 Chung-li, Taiwan, Republic of China |
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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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