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Analysis of Difference Equations for Population Genetics

Analysis of Difference Equations for Population Genetics

Original Research ArticleJan 5, 2018Vol. 16 No. 2 (2016)

Abstract

The genetics of populations with discrete generations were studied in this paper. We explored the change of the relative frequencies of genes based on the Hardy-Weinberg law. The difference equations were formulated for describing their changes. The stability theorem was used for analysis. The numerical simulations were found with the different situations.

Keywords: difference equations, genetics, Hardy-Weinberg law, stability theorem

*Corresponding author:

E-mail: kppuntan@kmitl.ac.th

How to Cite

Pongsumpun*, P. . (2018). Analysis of Difference Equations for Population Genetics. CURRENT APPLIED SCIENCE AND TECHNOLOGY, 52-59.

References

  • Crow, J.F. and Kimura, M., 1970. An Introduction to population genetics theory. Harper and Row, New York.
  • Mathematical Genetics, [online] Avaiable at: https://www.genetics.ucla.edu/courses/ hg236b/Lange_Chapter_PopGenetics.pdf.
  • Population genetics, [online] Avaiable at: https://www2.le.ac.uk/departments/genetics/vgec/ schoolscolleges/topics/population-genetics.
  • Chen, T., He, H.L. and Church, G.M., 1999. Modeling gene expression with differential equations, Pacific Symposium on Biocomputing, 4, 2940.
  • Sargolzaie, N. and Miri-Moghaddam, E., 2014. A local equation for differential diagnosis of β-thalassemia trait and iron deficiency anemia by logistic regression analysis in Southeast Iran. Hemoglobin, 38(5), 355358.

Author Information

Puntani Pongsumpun*

Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok, Thailand

About this Article

Journal

Vol. 16 No. 2 (2016)

Type of Manuscript

Original Research Article

Keywords

difference equations
genetics
Hardy-Weinberg law
stability theorem

Published

5 January 2018