메뉴 건너뛰기




Volumn 72, Issue 1, 2007, Pages 21-40

Evolution under multiallelic migration-selection models

Author keywords

Geographical structure; Spatial structure; Subdivided populations

Indexed keywords

ALLELE; ECOLOGICAL MODELING; GENOTYPE; MIGRATION; POLYPLOIDY; SELECTION;

EID: 34249693399     PISSN: 00405809     EISSN: 10960325     Source Type: Journal    
DOI: 10.1016/j.tpb.2007.02.005     Document Type: Article
Times cited : (21)

References (40)
  • 2
    • 0020048838 scopus 로고
    • Cycling in simple genetic systems
    • Akin E. Cycling in simple genetic systems. J. Math. Biol. 13 (1982) 305-324
    • (1982) J. Math. Biol. , vol.13 , pp. 305-324
    • Akin, E.1
  • 3
    • 34249931760 scopus 로고    scopus 로고
    • Akin, E., 1983. Hopf bifurcation in the two-locus genetic model. Mem. Am. Math. Soc. 44, No. 284.
  • 4
    • 0037892219 scopus 로고
    • Cycling in simple genetic systems: II. The symmetric cases
    • Kurzhansky A., and Sigmund K. (Eds), Springer, Berlin
    • Akin E. Cycling in simple genetic systems: II. The symmetric cases. In: Kurzhansky A., and Sigmund K. (Eds). Dynamical Systems. Lecture Notes in Economics and Mathematical Systems vol. 287 (1987), Springer, Berlin 139-153
    • (1987) Dynamical Systems. Lecture Notes in Economics and Mathematical Systems , vol.287 , pp. 139-153
    • Akin, E.1
  • 5
    • 0020263218 scopus 로고
    • Recurrence of the unfit
    • Akin E., and Hofbauer J. Recurrence of the unfit. Math. Biosci. 61 (1982) 51-62
    • (1982) Math. Biosci. , vol.61 , pp. 51-62
    • Akin, E.1    Hofbauer, J.2
  • 7
    • 0040552620 scopus 로고    scopus 로고
    • Bifurcations in haploid and diploid sequence space models
    • Baake E., and Wiehe T. Bifurcations in haploid and diploid sequence space models. J. Math. Biol. 35 (1997) 321-343
    • (1997) J. Math. Biol. , vol.35 , pp. 321-343
    • Baake, E.1    Wiehe, T.2
  • 8
    • 34249949109 scopus 로고    scopus 로고
    • Feller, W., 1968. An Introduction to Probability Theory and Its Applications, vol. I, third ed. Wiley, New York.
  • 9
    • 34249946214 scopus 로고    scopus 로고
    • Feller, W., 1971. An Introduction to Probability Theory and Its Applications, vol. II, second ed. Wiley, New York.
  • 11
    • 34249747655 scopus 로고
    • Diversity of fitness and generalized fitness
    • Ginzburg L.R. Diversity of fitness and generalized fitness. J. Gen. Biol. 33 (1972) 77-81
    • (1972) J. Gen. Biol. , vol.33 , pp. 77-81
    • Ginzburg, L.R.1
  • 12
    • 33646086124 scopus 로고
    • Diffusion in Fisher's population model
    • Hadeler K.P. Diffusion in Fisher's population model. Rocky Mount. J. Math. 11 (1981) 39-45
    • (1981) Rocky Mount. J. Math. , vol.11 , pp. 39-45
    • Hadeler, K.P.1
  • 13
    • 0019639734 scopus 로고
    • Stable cycling in discrete-time genetic models
    • Hastings A. Stable cycling in discrete-time genetic models. Proc. Natl. Acad. Sci. USA 78 (1981) 7224-7225
    • (1981) Proc. Natl. Acad. Sci. USA , vol.78 , pp. 7224-7225
    • Hastings, A.1
  • 14
    • 33746843490 scopus 로고
    • Gradients vs. cycling in genetic selection models
    • Aubin J.P., Saari D., and Sigmund K. (Eds), Springer, Berlin
    • Hofbauer J. Gradients vs. cycling in genetic selection models. In: Aubin J.P., Saari D., and Sigmund K. (Eds). Dynamics of Macrosystems. Lecture Notes in Economics and Mathematical Systems vol. 257 (1985), Springer, Berlin 90-101
    • (1985) Dynamics of Macrosystems. Lecture Notes in Economics and Mathematical Systems , vol.257 , pp. 90-101
    • Hofbauer, J.1
  • 15
    • 0022376857 scopus 로고
    • The selection mutation equation
    • Hofbauer J. The selection mutation equation. J. Math. Biol. 23 (1985) 41-53
    • (1985) J. Math. Biol. , vol.23 , pp. 41-53
    • Hofbauer, J.1
  • 16
    • 0002376157 scopus 로고
    • A Hopf bifurcation theorem for difference equations approximating a differential equation
    • Hofbauer J., and Iooss E. A Hopf bifurcation theorem for difference equations approximating a differential equation. Monatsh. Math. 98 (1984) 99-113
    • (1984) Monatsh. Math. , vol.98 , pp. 99-113
    • Hofbauer, J.1    Iooss, E.2
  • 17
    • 0018954310 scopus 로고
    • Selection-migration regimes characterized by a globally stable equilibrium
    • Karlin S., and Campbell R.B. Selection-migration regimes characterized by a globally stable equilibrium. Genetics 94 (1980) 1065-1084
    • (1980) Genetics , vol.94 , pp. 1065-1084
    • Karlin, S.1    Campbell, R.B.2
  • 18
    • 0015350716 scopus 로고
    • Application of method of small parameters to multi-niche population genetic models
    • Karlin S., and McGregor J. Application of method of small parameters to multi-niche population genetic models. Theor. Popul. Biol. 3 (1972) 186-209
    • (1972) Theor. Popul. Biol. , vol.3 , pp. 186-209
    • Karlin, S.1    McGregor, J.2
  • 19
    • 0015348065 scopus 로고
    • Polymorphisms for genetic and ecological systems with weak coupling
    • Karlin S., and McGregor J. Polymorphisms for genetic and ecological systems with weak coupling. Theor. Popul. Biol. 3 (1972) 210-238
    • (1972) Theor. Popul. Biol. , vol.3 , pp. 210-238
    • Karlin, S.1    McGregor, J.2
  • 20
    • 84856715072 scopus 로고
    • On an inequality in partial averages
    • Kingman J.F.C. On an inequality in partial averages. Quart. J. Math. 12 (1961) 78-80
    • (1961) Quart. J. Math. , vol.12 , pp. 78-80
    • Kingman, J.F.C.1
  • 21
    • 84971187073 scopus 로고
    • A mathematical problem in population genetics
    • Kingman J.F.C. A mathematical problem in population genetics. Proc. Cambridge Philos. Soc. 57 (1961) 574-582
    • (1961) Proc. Cambridge Philos. Soc. , vol.57 , pp. 574-582
    • Kingman, J.F.C.1
  • 22
    • 0004117857 scopus 로고
    • Society for Industrial and Applied Mathematics, Philadelphia
    • LaSalle J.P. The Stability of Dynamical Systems (1977), Society for Industrial and Applied Mathematics, Philadelphia
    • (1977) The Stability of Dynamical Systems
    • LaSalle, J.P.1
  • 23
    • 0001493328 scopus 로고
    • Genetic equilibrium when more than one ecological niche is available
    • Levene H. Genetic equilibrium when more than one ecological niche is available. Am. Nat. 87 (1953) 311-313
    • (1953) Am. Nat. , vol.87 , pp. 311-313
    • Levene, H.1
  • 24
    • 0010403673 scopus 로고
    • Dynamics of games and genes: discrete versus continuous time
    • Losert V., and Akin E. Dynamics of games and genes: discrete versus continuous time. J. Math. Biol. 17 (1983) 241-251
    • (1983) J. Math. Biol. , vol.17 , pp. 241-251
    • Losert, V.1    Akin, E.2
  • 25
    • 0037141619 scopus 로고    scopus 로고
    • A semilinear parabolic system for migration and selection in population genetics
    • Lou Y., and Nagylaki T. A semilinear parabolic system for migration and selection in population genetics. J. Differential Equations 181 (2002) 388-418
    • (2002) J. Differential Equations , vol.181 , pp. 388-418
    • Lou, Y.1    Nagylaki, T.2
  • 26
    • 4344580875 scopus 로고    scopus 로고
    • Evolution of a semilinear parabolic system for migration and selection in population genetics
    • Lou Y., and Nagylaki T. Evolution of a semilinear parabolic system for migration and selection in population genetics. J. Differential Equations 204 (2004) 292-322
    • (2004) J. Differential Equations , vol.204 , pp. 292-322
    • Lou, Y.1    Nagylaki, T.2
  • 27
    • 33646375942 scopus 로고    scopus 로고
    • Evolution of a semilinear parabolic system for migration and selection without dominance
    • Lou Y., and Nagylaki T. Evolution of a semilinear parabolic system for migration and selection without dominance. J. Differential Equations 225 (2006) 624-665
    • (2006) J. Differential Equations , vol.225 , pp. 624-665
    • Lou, Y.1    Nagylaki, T.2
  • 28
    • 0041154462 scopus 로고
    • Selection-induced convergence to equilibrium in a single-locus autosomal population
    • Lyubich Yu.I., Maistrovskii G.D., and Ol'khovskii Yu.G. Selection-induced convergence to equilibrium in a single-locus autosomal population. Probl. Inf. Transm. 16 (1980) 66-75
    • (1980) Probl. Inf. Transm. , vol.16 , pp. 66-75
    • Lyubich, Yu.I.1    Maistrovskii, G.D.2    Ol'khovskii, Yu.G.3
  • 29
    • 0009921253 scopus 로고
    • An inequality arising in genetical theory
    • Mulholland H.P., and Smith C.A.B. An inequality arising in genetical theory. Am. Math. Mon. 66 (1959) 673-683
    • (1959) Am. Math. Mon. , vol.66 , pp. 673-683
    • Mulholland, H.P.1    Smith, C.A.B.2
  • 30
    • 0018822347 scopus 로고
    • The strong-migration limit in geographically structured populations
    • Nagylaki T. The strong-migration limit in geographically structured populations. J. Math. Biol. 9 (1980) 101-114
    • (1980) J. Math. Biol. , vol.9 , pp. 101-114
    • Nagylaki, T.1
  • 32
    • 0027195162 scopus 로고
    • The evolution of multilocus systems under weak selection
    • Nagylaki T. The evolution of multilocus systems under weak selection. Genetics 134 (1993) 627-647
    • (1993) Genetics , vol.134 , pp. 627-647
    • Nagylaki, T.1
  • 33
    • 0031858424 scopus 로고    scopus 로고
    • The expected number of heterozygous sites in a subdivided population
    • Nagylaki T. The expected number of heterozygous sites in a subdivided population. Genetics 149 (1998) 1599-1604
    • (1998) Genetics , vol.149 , pp. 1599-1604
    • Nagylaki, T.1
  • 34
    • 0033071562 scopus 로고    scopus 로고
    • Convergence of multilocus systems under weak epistasis or weak selection
    • Nagylaki T., Hofbauer J., and Brunovský P. Convergence of multilocus systems under weak epistasis or weak selection. J. Math. Biol. 38 (1999) 103-133
    • (1999) J. Math. Biol. , vol.38 , pp. 103-133
    • Nagylaki, T.1    Hofbauer, J.2    Brunovský, P.3
  • 35
    • 0034908564 scopus 로고    scopus 로고
    • Patterns of multiallelic polymorphism maintained by migration and selection
    • Nagylaki T., and Lou Y. Patterns of multiallelic polymorphism maintained by migration and selection. Theor. Popul. Biol. 59 (2001) 297-313
    • (2001) Theor. Popul. Biol. , vol.59 , pp. 297-313
    • Nagylaki, T.1    Lou, Y.2
  • 36
    • 31344452147 scopus 로고    scopus 로고
    • Multiallelic selection polymorphism
    • Nagylaki T., and Lou Y. Multiallelic selection polymorphism. Theor. Popul. Biol. 69 (2006) 217-229
    • (2006) Theor. Popul. Biol. , vol.69 , pp. 217-229
    • Nagylaki, T.1    Lou, Y.2
  • 37
    • 33845517798 scopus 로고    scopus 로고
    • Evolution under the multiallelic Levene model
    • Nagylaki T., and Lou Y. Evolution under the multiallelic Levene model. Theor. Popul. Biol. 70 (2006) 401-411
    • (2006) Theor. Popul. Biol. , vol.70 , pp. 401-411
    • Nagylaki, T.1    Lou, Y.2
  • 38
    • 34249734902 scopus 로고    scopus 로고
    • Nagylaki, T., Lou, Y., 2007. Evolution at a multiallelic locus under migration and uniform selection. J. Math. Biol., in press.
  • 39
    • 84971137399 scopus 로고
    • 2-Kompaktheit der Bahn der Lösungen semilinearer parabolischer Systeme
    • 2-Kompaktheit der Bahn der Lösungen semilinearer parabolischer Systeme. Proc. Roy. Soc. Edinburgh A93 (1983) 99-103
    • (1983) Proc. Roy. Soc. Edinburgh , vol.A93 , pp. 99-103
    • Redlinger, R.1
  • 40
    • 84966138669 scopus 로고
    • An inequality in population genetics
    • Scheuer P.A.G., and Mandel S.P.H. An inequality in population genetics. Heredity 13 (1959) 519-524
    • (1959) Heredity , vol.13 , pp. 519-524
    • Scheuer, P.A.G.1    Mandel, S.P.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.