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Evolving gene frequencies in a population with three possible alleles at a locus

Journal Article


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Abstract


  • A number of models involving reactiondiffusion equations have been developed by different authors to describe the changes in frequency of alleles in a population. Each of these models describes the case in which there are only two possible alleles at the locus in question. In the present paper, we are interested in the more realistic possibility of three alternative alleles. A system of reactiondiffusion equations can be developed to describe this situation. After transforming to the traveling wave coordinates, we introduce a nonlinear transformation which allows us to find exact solutions under certain conditions imposed on two of the parameters.

Publication Date


  • 2008

Citation


  • Bradshaw-Hajek, B. H., Broadbridge, P. & Williams, G. H. (2008). Evolving gene frequencies in a population with three possible alleles at a locus. Mathematical and Computer Modelling, 47 (1-2), 210-217.

Scopus Eid


  • 2-s2.0-35348938462

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=2614&context=infopapers

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/1594

Number Of Pages


  • 7

Start Page


  • 210

End Page


  • 217

Volume


  • 47

Issue


  • 1-2

Place Of Publication


  • www.elsevier.com/locate/mcm

Abstract


  • A number of models involving reactiondiffusion equations have been developed by different authors to describe the changes in frequency of alleles in a population. Each of these models describes the case in which there are only two possible alleles at the locus in question. In the present paper, we are interested in the more realistic possibility of three alternative alleles. A system of reactiondiffusion equations can be developed to describe this situation. After transforming to the traveling wave coordinates, we introduce a nonlinear transformation which allows us to find exact solutions under certain conditions imposed on two of the parameters.

Publication Date


  • 2008

Citation


  • Bradshaw-Hajek, B. H., Broadbridge, P. & Williams, G. H. (2008). Evolving gene frequencies in a population with three possible alleles at a locus. Mathematical and Computer Modelling, 47 (1-2), 210-217.

Scopus Eid


  • 2-s2.0-35348938462

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=2614&context=infopapers

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/1594

Number Of Pages


  • 7

Start Page


  • 210

End Page


  • 217

Volume


  • 47

Issue


  • 1-2

Place Of Publication


  • www.elsevier.com/locate/mcm