Metastable states in a nonlinear stochastic model

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Abstract
A type of metastable state is found and analyzed for a nonlinear model of self-replicating biomolecules under constraint. This state, described by the deterministic theory as one of the stable steady states, is studied stochastically by using various approximation schemes. The time-dependent behavior is derived so that the lifetime can be estimated numerically. The possible transitions induced by the fluctuation perturbations are also discussed.