The duality of spatial death birth and birth death processes and limitations of the isothermal theorem

dc.contributor.author	Kaveh, Kamran	en_US
dc.contributor.author	Komarova, Natalia L.	en_US
dc.contributor.author	Kohandel, Mohammad	en_US
dc.date.accessioned	2016-07-30T01:39:20Z
dc.date.available	2016-07-30T01:39:20Z
dc.date.issued	2015	en_US
dc.identifier.other	HPU4160501	en_US
dc.identifier.uri	https://lib.hpu.edu.vn/handle/123456789/22398	en_US
dc.description.abstract	Evolutionary models on graphs, as an extension of the Moran process, have two major implementations: birth–death (BD) models (or the invasion process) and death–birth (DB) models (or voter models). The isothermal theorem states that the fixation probability of mutants in a large group of graph structures (known as isothermal graphs, which include regular graphs) coincides with that for the mixed population. This result has been proved by Lieberman et al. (2005 Nature433, 312–316. (doi:10.1038/nature03204)) in the case of BD processes, where mutants differ from the wild-types by their birth rate (and not by their death rate)	en_US
dc.format.extent	22 p.	en_US
dc.format.mimetype	application/pdf	en_US
dc.language.iso	en	en_US
dc.subject	Mathematics	en_US
dc.subject	Computational biology	en_US
dc.subject	Evolutionary dynamics	en_US
dc.subject	Stochastic process	en_US
dc.subject	Numerical simulations	en_US
dc.title	The duality of spatial death birth and birth death processes and limitations of the isothermal theorem	en_US
dc.type	Article	en_US
dc.size	1.33MB	en_US
dc.department	Education	en_US