Multilocus dynamics under haploid selection

Journal of Mathematical Biology

Volumn 35, Issue 4, 1997, Pages 391-408

  Kirzhner, Valery ^a   Lyubich, Yuri ^b  

^a UNIVERSITY OF HAIFA   (Israel)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Additive selection; Convergence to equilibrium; Fundamental theorem; Haploid selection; Position effect; Tight linkage

Indexed keywords

ARTICLE; BIOLOGICAL MODEL; GENETIC SELECTION; HAPLOIDY; MATHEMATICS; POPULATION DYNAMICS;

HAPLOIDY; MATHEMATICS; MODELS, GENETIC; POPULATION DYNAMICS; SELECTION (GENETICS);

EID: 0031090405     PISSN: 03036812     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002850050058     Document Type: Article

References (14)

1. Ewens, W. J.: Mean fitness increases when fitnesses are additive. Nature 221, 1076 (1969)
2. Feldman, M. W.: Equilibrium studies of two locus haploid populations with recombination. Theor. Popul. Biol. 2, 229-318 (1971)
3. Karlin, S.: Theoretical aspects of multi-locus selection balance. I. pp 503-587 in Studies in Mathematics, Vol. 16: Studies in Mathematical Biology, edited by S. A. Levin. Mathematical Association of America, Washington, D.C. (1978)
4. Karlin, S., Feldman M.: Convergence to equilibria of the two locus additive viability model. J. Appl. Prob. 7, 262-271 (1970)
5. Kun, L. A., Lyubich, Yu. I.: Convergence to equilibrium in a polylocus polyallele population with additive selection. Probl. Inform. Transmiss. 16, 152-161 (1980)
6. Lewontin, R. C., Kojima, K.: The evolutionary dynamics of complex polymorphisms. Evolution 14, 458-472 (1960)
7. Lyubich, Yu. I., Maistrovskii, G. D., Ol'khovskii, Yu. G.: Convergence to equilibrium under the action of selection in a single locus population. Soviet Math. Dokl. 17, 55-58 (1976)
8. Lyubich, Yu. I.: Mathematical Structures in Population Genetics. Springer, Berlin (1992) (Original Russian edition: "Matematicheskie structury v populyatsionnoi genetike", Naukova Dumka, Kiev, 1983)
9. Moran, P. A. P.: The effect of selection in a haploid genetic population. Proc. Camb. Phil. Soc. 54, 463-467 (1958)
10. Nagylaki, T.: Rate of evolution of a character without epistasis. Proc. Natl. Acad. Sci. USA 86, 1910-1913 (1989)
11. Nagylaki, T.: Introduction to Theoretical Population Genetics. Springer, Berlin (1992)
12. Nagylaki, T.: The evolution of multilocus systems under weak selection. Genetics 134, 627-647 (1993)
13. Reiersöl, O.: Genetic algebras studied recursively and by means of differential operators. Math. Scand. 10, 25-44 (1962)
14. Rutschman, D. H.: Dynamics of the two-locus haploid model. Theor. Popul. Biol. 45, 167-176 (1994)