Fixation Probabilities of Evolutionary Graphs Based on the Positions of New Appearing Mutants
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-17
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
Evolutionary graph theory is a nice measure to implement evolutionary dynamics on spatial structures of populations.
To calculate the fixation probability is usually regarded as a Markov chain process, which is affected by the number of the individuals, the fitness of the mutant, the game strategy, and the structure of the population.
However the position of the new mutant is important to its fixation probability.
Here the position of the new mutant is laid emphasis on.
The method is put forward to calculate the fixation probability of an evolutionary graph (EG) of single level.
Then for a class of bilevel EGs, their fixation probabilities are calculated and some propositions are discussed.
The conclusion is obtained showing that the bilevel EG is more stable than the corresponding one-rooted EG.
American Psychological Association (APA)
Zhang, Pei-ai. 2014. Fixation Probabilities of Evolutionary Graphs Based on the Positions of New Appearing Mutants. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-506535
Modern Language Association (MLA)
Zhang, Pei-ai. Fixation Probabilities of Evolutionary Graphs Based on the Positions of New Appearing Mutants. Journal of Applied Mathematics No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-506535
American Medical Association (AMA)
Zhang, Pei-ai. Fixation Probabilities of Evolutionary Graphs Based on the Positions of New Appearing Mutants. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-506535
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506535