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For: Barbosa VC, Donangelo R, Souza SR. Early appraisal of the fixation probability in directed networks. Phys Rev E Stat Nonlin Soft Matter Phys 2010;82:046114. [PMID: 21230352 DOI: 10.1103/physreve.82.046114] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/18/2010] [Revised: 08/11/2010] [Indexed: 05/27/2023]
Number Cited by Other Article(s)
1
Monk T, van Schaik A. Martingales and the fixation time of evolutionary graphs with arbitrary dimensionality. ROYAL SOCIETY OPEN SCIENCE 2022;9:220011. [PMID: 35573040 PMCID: PMC9091843 DOI: 10.1098/rsos.220011] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 01/06/2022] [Accepted: 04/01/2022] [Indexed: 05/03/2023]
2
Monk T, van Schaik A. Wald’s martingale and the conditional distributions of absorption time in the Moran process. Proc Math Phys Eng Sci 2020. [DOI: 10.1098/rspa.2020.0135] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]  Open
3
Overton CE, Broom M, Hadjichrysanthou C, Sharkey KJ. Methods for approximating stochastic evolutionary dynamics on graphs. J Theor Biol 2019;468:45-59. [PMID: 30772340 DOI: 10.1016/j.jtbi.2019.02.009] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/20/2018] [Revised: 02/07/2019] [Accepted: 02/13/2019] [Indexed: 10/27/2022]
4
Monk T. Martingales and the fixation probability of high-dimensional evolutionary graphs. J Theor Biol 2018;451:10-18. [PMID: 29727631 DOI: 10.1016/j.jtbi.2018.04.039] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/09/2018] [Revised: 04/27/2018] [Accepted: 04/30/2018] [Indexed: 11/26/2022]
5
On the stochastic evolution of finite populations. J Math Biol 2017;75:1735-1774. [DOI: 10.1007/s00285-017-1135-4] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/29/2016] [Revised: 03/27/2017] [Indexed: 01/13/2023]
6
Voorhees B, Ryder B. Simple graph models of information spread in finite populations. ROYAL SOCIETY OPEN SCIENCE 2015;2:150028. [PMID: 26064661 PMCID: PMC4453248 DOI: 10.1098/rsos.150028] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/14/2015] [Accepted: 04/23/2015] [Indexed: 05/14/2023]
7
Adlam B, Nowak MA. Universality of fixation probabilities in randomly structured populations. Sci Rep 2014;4:6692. [PMID: 25346111 PMCID: PMC4209402 DOI: 10.1038/srep06692] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/18/2014] [Accepted: 09/29/2014] [Indexed: 11/16/2022]  Open
8
Characterizing the effect of population heterogeneity on evolutionary dynamics on complex networks. Sci Rep 2014;4:5034. [PMID: 24849192 PMCID: PMC4030255 DOI: 10.1038/srep05034] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/05/2014] [Accepted: 05/02/2014] [Indexed: 11/09/2022]  Open
9
Monk T, Green P, Paulin M. Martingales and fixation probabilities of evolutionary graphs. Proc Math Phys Eng Sci 2014. [DOI: 10.1098/rspa.2013.0730] [Citation(s) in RCA: 32] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]  Open
10
Díaz J, Goldberg LA, Mertzios GB, Richerby D, Serna M, Spirakis PG. On the fixation probability of superstars. Proc Math Phys Eng Sci 2013. [DOI: 10.1098/rspa.2013.0193] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]  Open
11
Voorhees B, Murray A. Fixation probabilities for simple digraphs. Proc Math Phys Eng Sci 2013. [DOI: 10.1098/rspa.2012.0676] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]  Open
12
Voorhees B. Birth–death fixation probabilities for structured populations. Proc Math Phys Eng Sci 2013. [DOI: 10.1098/rspa.2012.0248] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]  Open
13
Houchmandzadeh B, Vallade M. Exact results for fixation probability of bithermal evolutionary graphs. Biosystems 2013;112:49-54. [PMID: 23567507 DOI: 10.1016/j.biosystems.2013.03.020] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/19/2012] [Revised: 02/14/2013] [Accepted: 03/27/2013] [Indexed: 11/29/2022]
14
Shakarian P, Roos P, Moores G. A novel analytical method for evolutionary graph theory problems. Biosystems 2013;111:136-44. [DOI: 10.1016/j.biosystems.2013.01.006] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/04/2012] [Revised: 01/05/2013] [Accepted: 01/10/2013] [Indexed: 11/27/2022]
15
Shakarian P, Roos P, Johnson A. A review of evolutionary graph theory with applications to game theory. Biosystems 2011;107:66-80. [PMID: 22020107 DOI: 10.1016/j.biosystems.2011.09.006] [Citation(s) in RCA: 61] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/15/2011] [Accepted: 09/26/2011] [Indexed: 11/29/2022]
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