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Stochastic dynamics in the fitness-based process which can be on behalf of the standard Moran, local and Wright-Fisher processes

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Indexed by:期刊论文

Date of Publication:2018-01-07

Journal:JOURNAL OF THEORETICAL BIOLOGY

Included Journals:PubMed、SCIE、Scopus

Volume:460

Page Number:79-87

ISSN No.:0022-5193

Key Words:Evolutionary game dynamics; Evolution of cooperation; Stochastic process; Wright-Fisher process

Abstract:In this paper, we proposed a frequency dependent fitness-based process, which is an extension of both the standard Moran process and the Wright-Fisher process. Some individuals are selected into a parent's pool and reproduce. Then the offspring is selected to replace individuals in the entire parent generation. We explored the influence of the size of parent pool and the number of offspring on a single cooperator's fixation. The less offspring leads to higher fixation probability of s single cooperator. Meanwhile, the fixation probability decreases with the growth of the local level. In other words, the direction of the number of offspring's impact on fixation probability is in accordance with that of the local level's impact. The less offspring in one generation or the smaller parent's pool contributes to promoting cooperation with the fitness-based updating rule. (C) 2018 Elsevier Ltd. All rights reserved.

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