Abstract
This article exploits a thermodynamic formalism and the mathematics of diffusion processes to investigate the evolutionary stability of structured populations, that is the invulnerability of the populations to invasion by rare mutants. Growth in structured populations is described in terms of random dynamical systems, and random transfer operators are used to obtain and characterize the steady state in terms of a set of macroscopic parameters. We analyze the extinction dynamics of interacting populations via coupled diffusion equations and show that evolutionary stability is characterized by the extremal states of entropy.
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Demetrius, L., Gundlach, V.M. (1999). Evolutionary Dynamics in Random Environments. In: Stochastic Dynamics. Springer, New York, NY. https://doi.org/10.1007/0-387-22655-9_16
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DOI: https://doi.org/10.1007/0-387-22655-9_16
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