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Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 06/2013, Volume 469, Issue 2154, pp. 20120676 - 20120676
The problem of finding birth-death fixation probabilities for configurations of normal and mutants on an N-vertex graph is formulated in terms of a Markov process on the 2(N... 
Evolutionary graphs | Fixation probabilities | Evolutionary dynamics | PRESSURE | fixation probabilities | MULTIDISCIPLINARY SCIENCES | evolutionary dynamics | POPULATIONS | evolutionary graphs | NETWORKS | GRAPHS | ENTROPY | Correlation | Fixation | Mathematical analysis | Exact solutions | Graphs | Graph theory | Entropy | Fitness
Journal Article
EPL, ISSN 0295-5075, 12/2016, Volume 116, Issue 5, pp. 58002 - 58002
We study the evolutionary dynamics of strategies in finite populations which are homogeneous and well mixed by means of the pairwise comparison process, the core of which is the proposed switching probability... 
SOCIAL DILEMMAS | DYNAMICS | PHYSICS, MULTIDISCIPLINARY | COOPERATION | Fixation | Populations | Mathematical analysis | Cooperation | Strategy | Mathematical models | Game theory | Switching
Journal Article
Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, ISSN 1471-2946, 2013, Volume 469, Issue 2153, pp. 20120248 - 20120248
This paper presents an adaptation of the Moran birth-death model of evolutionary processes on graphs. The present model makes use of the full population state... 
Fixation probabilities | Birth-death process | Structured populations | birth-death process | structured populations | fixation probabilities | MULTIDISCIPLINARY SCIENCES | Populations | Mathematical analysis | Evolutionary | Graphs | Mathematical models | Graph theory | Vectors (mathematics) | Fitness
Journal Article
Journal of the Royal Society interface, ISSN 1742-5662, 2008, Volume 5, Issue 28, pp. 1279 - 1289
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 02/2018, Volume 492, pp. 2129 - 2135
The fixation probability of a mutant in the evolutionary dynamics of Moran process is calculated by the Monte-Carlo method on a few families of clique-based graphs... 
Suppressor | Evolutionary graph theory | Clique-based graphs | Amplifier | Fixation probability | MUTANT | PHYSICS, MULTIDISCIPLINARY | EVOLUTIONARY DYNAMICS | Monte Carlo method
Journal Article
Bulletin of mathematical biology, ISSN 1522-9602, 2019, Volume 81, Issue 11, pp. 4625 - 4642
The probability that the frequency of a particular trait will eventually become unity, the so-called fixation probability, is a central issue in the study of population evolution... 
Inverse problems | 91A22 | Life Sciences, general | Mathematical and Computational Biology | 91A06 | 92D15 | Wright–Fisher process | Mathematics | 91A80 | Fixation probability | Game theory | Cell Biology | Fixation | Probability | Population number | Population | Population studies | Mathematical models | Stochasticity | Mutation | Fitness
Journal Article
Journal Article
Journal of mathematical biology, ISSN 1432-1416, 2018, Volume 78, Issue 4, pp. 1033 - 1065
... ). Their classification is based on whether each strategy is a Nash equilibrium and whether the fixation probability for a single individual of each strategy is larger or smaller than its value for neutral evolution... 
60J20 | 91A22 | Mathematical and Computational Biology | 92D15 | Birth death processes | Markov chains | Mathematics | Applications of Mathematics | Asymptotic analysis | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | COOPERATION | VIEW | Fixation | Asymptotic properties | Classification | Probability | Population number | Evolution | Game theory
Journal Article
Heredity, ISSN 1365-2540, 2018, Volume 121, Issue 4, pp. 374 - 386
... and probabilities to fixation Diala Abu Awad1,2 ● Camille Coron3 Received: 18 January 2018 / Revised: 9 May 2018 / Accepted: 18 June 2018 / Published online: 26 July 2018... 
ENVIRONMENT | POPULATION-SIZE | GENETIC DIVERSITY | EVOLUTIONARY BIOLOGY | EVOLUTION | INBREEDING DEPRESSION | MUTATION | GENETICS & HEREDITY | DYNAMICS | ECOLOGY | DIFFUSION | SELECTION | MUTANT-GENES | Life history | Demographics | Populations | Fixation | Population number | Population | Evolution | Genetic diversity | Stochasticity | Diffusion | Life Sciences | Vegetal Biology
Journal Article
Genetics, ISSN 0016-6731, 01/2015, Volume 200, Issue 1, pp. 309 - 320
Journal Article
BioSystems, ISSN 0303-2647, 2016, Volume 150, pp. 87 - 91
Journal Article