Time-asymptotic Convergence Rates towards the Discrete Evolutionary Stable Distribution
نویسندگان
چکیده
This paper is concerned with the discrete dynamics of an integro–differential model that describes the evolution of a population structured with respect to a continuous trait. Various time–asymptotic convergence rates towards the discrete evolutionary stable distribution (ESD) are established. For some special ESD satisfying a strict sign condition, the exponential convergence rates are obtained for both semi-discrete and fully discrete schemes. Towards the generic ESD, the algebraic convergence rate we find is consistent with the known result for the continuous model.
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