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arXiv · 2306.06407

Effect of the degree of an initial mutant in Moran processes in structured populations

Javad Mohamadichamgavi·Jacek Miȩkisz
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Abstract

We study the effect of the mutant's degree on the fixation probability, extinction and fixation times, in the Moran process on Erd\"{o}s-R\'{e}nyi and Barab\'{a}si-Albert graphs. We performed stochastic simulations and use mean-field type approximations to obtain analytical formulas. We showed that the initial placement of a mutant has a significant impact on the fixation probability and extinction time, while it has no effect on the fixation time. In both types of graphs, an increase in the degree of a initial mutant results in a decreased fixation probability and a shorter time to extinction.

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Javad Mohamadichamgavi, Jacek Miȩkisz. 2023-06-10. Effect of the degree of an initial mutant in Moran processes in structured populations. https://doi.org/10.1103/physreve.109.044406

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