A modified Crow–Kimura evolution model with reduced fitness for the smooth distribution of population

David B. Saakian and Kang Hao Cheong

Physica A: Statistical Mechanics and its Applications, 2020, vol. 544, issue C

Abstract: We investigate an evolution model in which the fitness depends on the steepness of population distribution via Hamming classes (the absolute value of the logarithm of the probability ratios for the neighbor Hamming classes). The model has a rather rich phase structure with observed oscillations of the mean fitness in the dynamics. Specifically, the fitness is reduced (compared to the standard Crow–Kimura model) when the steepness is less than a certain value, d. We compare the mean fitness of our model with the mean fitness of Crow–Kimura model with the same parameters. Our work reveals that there is a threshold value, dc for which d>dc, there are no oscillations of the mean fitness, and it is less than the corresponding fitness in the Crow–Kimura model with the same parameters. For dKeywords: Crow–Kimura; Evolution; Nonlinear; Hamming classes; Hamilton–Jacobi equation; Biological complexity (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:544:y:2020:i:c:s037843711931845x

DOI: 10.1016/j.physa.2019.123292

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