The network structure affects the fixation probability when it couples to the birth-death dynamics in finite population.

The study of evolutionary dynamics on graphs is an interesting topic for researchers in various fields of science and mathematics. In systems with finite population, different model dynamics are distinguished by their effects on two important quantities: fixation probability and fixation time. The i...

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Autores principales:	Mohammad Ali Dehghani, Amir Hossein Darooneh, Mohammad Kohandel
Formato:	article
Lenguaje:	EN
Publicado:	Public Library of Science (PLoS) 2021
Materias:	Biology (General) QH301-705.5
Acceso en línea:	https://doaj.org/article/62349ac4ff2241bdbfb2d388ad8f156b
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spelling	oai:doaj.org-article:62349ac4ff2241bdbfb2d388ad8f156b2021-12-02T19:57:37ZThe network structure affects the fixation probability when it couples to the birth-death dynamics in finite population.1553-734X1553-735810.1371/journal.pcbi.1009537https://doaj.org/article/62349ac4ff2241bdbfb2d388ad8f156b2021-10-01T00:00:00Zhttps://doi.org/10.1371/journal.pcbi.1009537https://doaj.org/toc/1553-734Xhttps://doaj.org/toc/1553-7358The study of evolutionary dynamics on graphs is an interesting topic for researchers in various fields of science and mathematics. In systems with finite population, different model dynamics are distinguished by their effects on two important quantities: fixation probability and fixation time. The isothermal theorem declares that the fixation probability is the same for a wide range of graphs and it only depends on the population size. This has also been proved for more complex graphs that are called complex networks. In this work, we propose a model that couples the population dynamics to the network structure and show that in this case, the isothermal theorem is being violated. In our model the death rate of a mutant depends on its number of neighbors, and neutral drift holds only in the average. We investigate the fixation probability behavior in terms of the complexity parameter, such as the scale-free exponent for the scale-free network and the rewiring probability for the small-world network.Mohammad Ali DehghaniAmir Hossein DaroonehMohammad KohandelPublic Library of Science (PLoS)articleBiology (General)QH301-705.5ENPLoS Computational Biology, Vol 17, Iss 10, p e1009537 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Biology (General) QH301-705.5
spellingShingle	Biology (General) QH301-705.5 Mohammad Ali Dehghani Amir Hossein Darooneh Mohammad Kohandel The network structure affects the fixation probability when it couples to the birth-death dynamics in finite population.
description	The study of evolutionary dynamics on graphs is an interesting topic for researchers in various fields of science and mathematics. In systems with finite population, different model dynamics are distinguished by their effects on two important quantities: fixation probability and fixation time. The isothermal theorem declares that the fixation probability is the same for a wide range of graphs and it only depends on the population size. This has also been proved for more complex graphs that are called complex networks. In this work, we propose a model that couples the population dynamics to the network structure and show that in this case, the isothermal theorem is being violated. In our model the death rate of a mutant depends on its number of neighbors, and neutral drift holds only in the average. We investigate the fixation probability behavior in terms of the complexity parameter, such as the scale-free exponent for the scale-free network and the rewiring probability for the small-world network.
format	article
author	Mohammad Ali Dehghani Amir Hossein Darooneh Mohammad Kohandel
author_facet	Mohammad Ali Dehghani Amir Hossein Darooneh Mohammad Kohandel
author_sort	Mohammad Ali Dehghani
title	The network structure affects the fixation probability when it couples to the birth-death dynamics in finite population.
title_short	The network structure affects the fixation probability when it couples to the birth-death dynamics in finite population.
title_full	The network structure affects the fixation probability when it couples to the birth-death dynamics in finite population.
title_fullStr	The network structure affects the fixation probability when it couples to the birth-death dynamics in finite population.
title_full_unstemmed	The network structure affects the fixation probability when it couples to the birth-death dynamics in finite population.
title_sort	network structure affects the fixation probability when it couples to the birth-death dynamics in finite population.
publisher	Public Library of Science (PLoS)
publishDate	2021
url	https://doaj.org/article/62349ac4ff2241bdbfb2d388ad8f156b
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The network structure affects the fixation probability when it couples to the birth-death dynamics in finite population.

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