Fixation Probabilities on Complete Star and Bipartite Digraphs
Joint Authors
Liu, Wanping
Yang, Xiaofan
Wu, Yingjiang
Zhang, Chunming
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-13
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
This paper exactly formulates the kth-order fixation probabilities on complete star digraphs (CSDs), which extend the results from Broom and Rychtář (2008).
By applying these probability formulae, some asymptotic properties on CBDs are analyzed, and certain CSDs are determined to be amplifiers of selection for arbitrary relative fitness larger than 1, while all the CSDs are proved to be amplifiers of selection for fixed relative fitness slightly larger than 1.
A numerical method for fixed population structure (by solving a linear system) is developed to calculate the fixation probabilities on complete bipartite digraphs (CBDs), and some conjectures are finally given through simulations.
American Psychological Association (APA)
Zhang, Chunming& Wu, Yingjiang& Liu, Wanping& Yang, Xiaofan. 2012. Fixation Probabilities on Complete Star and Bipartite Digraphs. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-509917
Modern Language Association (MLA)
Zhang, Chunming…[et al.]. Fixation Probabilities on Complete Star and Bipartite Digraphs. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-509917
American Medical Association (AMA)
Zhang, Chunming& Wu, Yingjiang& Liu, Wanping& Yang, Xiaofan. Fixation Probabilities on Complete Star and Bipartite Digraphs. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-509917
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-509917
