메뉴 건너뛰기




Volumn 28, Issue 1, 1996, Pages 227-251

Stationary distributions under mutation-selection balance: Structure and properties

Author keywords

CONTINUUM OF ALLELES; Integro differential equations; Perron frobenius theory; Positive operators; Probability measures

Indexed keywords


EID: 0000154991     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0001867800027348     Document Type: Article
Times cited : (53)

References (30)
  • 2
    • 0002702488 scopus 로고
    • Dynamical aspects of evolutionary stability
    • BOMZE, I. M. (1990) Dynamical aspects of evolutionary stability, Monatsh. Math. 110, 189-206.
    • (1990) Monatsh. Math. , vol.110 , pp. 189-206
    • Bomze, I.M.1
  • 3
    • 0002975028 scopus 로고
    • Cross entropy minimization in uninvadable states of complex populations
    • BOMZE, I. M. (1991) Cross entropy minimization in uninvadable states of complex populations. J. Math. Biol. 30, 73-87.
    • (1991) J. Math. Biol. , vol.30 , pp. 73-87
    • Bomze, I.M.1
  • 4
    • 0022444119 scopus 로고
    • On the maintenance of genetic variation: Global analysis of Kimura's continuum-of-alleles model
    • BÜRGER, R. (1986) On the maintenance of genetic variation: global analysis of Kimura's continuum-of-alleles model. J. Math. Biol. 24, 341-351.
    • (1986) J. Math. Biol. , vol.24 , pp. 341-351
    • Bürger, R.1
  • 5
    • 0041494930 scopus 로고
    • Perturbations of positive semigroups and applications to population genetics
    • BÜRGER, R. (1988) Perturbations of positive semigroups and applications to population genetics. Math. Z. 197, 259-272.
    • (1988) Math. Z. , vol.197 , pp. 259-272
    • Bürger, R.1
  • 6
    • 3342932109 scopus 로고
    • Unbounded one-parameter semigroups, Fréchet spaces and applications
    • ed. Ph. Clément, E. Mitidieri and B. de Pagter. Marcel Dekker, New York
    • BÜRGER, R. (1991) Unbounded one-parameter semigroups, Fréchet spaces and applications. In Semigroup Theory and Evolution Equations, ed. Ph. Clément, E. Mitidieri and B. de Pagter. pp. 77-91. Marcel Dekker, New York.
    • (1991) Semigroup Theory and Evolution Equations , pp. 77-91
    • Bürger, R.1
  • 9
    • 0012658767 scopus 로고
    • Evolution processes with continuity of types
    • ESHEL, I. (1972) Evolution processes with continuity of types. Adv. Appl. Prob. 4, 475-507.
    • (1972) Adv. Appl. Prob. , vol.4 , pp. 475-507
    • Eshel, I.1
  • 10
    • 0027553844 scopus 로고
    • Fleming-Viot processes in population genetics
    • ETHIER, S. N. AND KURTZ, G. (1993) Fleming-Viot processes in population genetics. SIAM J. Control Optim. 31, 345-386.
    • (1993) SIAM J. Control Optim. , vol.31 , pp. 345-386
    • Ethier, S.N.1    Kurtz, G.2
  • 11
    • 0006463583 scopus 로고
    • Diffusion approximations of Markov chains with two time scales and applications to population genetics, II
    • ETHIER, S. N. AND NAGYLAKI, T. (1988) Diffusion approximations of Markov chains with two time scales and applications to population genetics, II. Adv. Appl. Prob. 20, 525-545.
    • (1988) Adv. Appl. Prob. , vol.20 , pp. 525-545
    • Ethier, S.N.1    Nagylaki, T.2
  • 12
    • 0040427319 scopus 로고
    • Compactness in translation invariant Banach spaces of distributions and compact multipliers
    • FEICHTINGER, H. G. (1984) Compactness in translation invariant Banach spaces of distributions and compact multipliers. J. Math. Anal. Appl. 102, 289-327.
    • (1984) J. Math. Anal. Appl. , vol.102 , pp. 289-327
    • Feichtinger, H.G.1
  • 13
    • 0001180965 scopus 로고
    • Equilibrium distributions of continuous polygenic traits
    • FLEMING, W. H. (1979) Equilibrium distributions of continuous polygenic traits. SIAM J. Appl. Math. 36, 148-168.
    • (1979) SIAM J. Appl. Math. , vol.36 , pp. 148-168
    • Fleming, W.H.1
  • 14
    • 0001625339 scopus 로고
    • Some measure-valued Markov processes in population genetics theory
    • FLEMING, W. H. AND VIOT, M. (1979) Some measure-valued Markov processes in population genetics theory. Indiana Univ. Math. J. 28, 817-843.
    • (1979) Indiana Univ. Math. J. , vol.28 , pp. 817-843
    • Fleming, W.H.1    Viot, M.2
  • 15
    • 0022376857 scopus 로고
    • The selection mutation equation
    • HOFBAUER, J. (1985) The selection mutation equation. J. Math. Biol. 23, 41-53.
    • (1985) J. Math. Biol. , vol.23 , pp. 41-53
    • Hofbauer, J.1
  • 17
    • 0002000720 scopus 로고
    • Non-Gaussian phenotypic models of quantitative traits
    • ed. B. S. Weir, E. J. Eisen, M. M. Goodman and G. Namkoong. Sinauer, Sunderland, MA
    • KARLIN, S. (1988) Non-Gaussian phenotypic models of quantitative traits. In Proc. 2nd Int. Conf. on Quantitative Genetics, ed. B. S. Weir, E. J. Eisen, M. M. Goodman and G. Namkoong. pp. 123-144. Sinauer, Sunderland, MA.
    • (1988) Proc. 2nd Int. Conf. on Quantitative Genetics , pp. 123-144
    • Karlin, S.1
  • 18
    • 0013802404 scopus 로고
    • A stochastic model concerning the maintenance of genetic variability in quantitative characters
    • KIMURA, M. (1965) A stochastic model concerning the maintenance of genetic variability in quantitative characters. Proc. Nat. Acad. Sci. USA 54, 731-736.
    • (1965) Proc. Nat. Acad. Sci. USA , vol.54 , pp. 731-736
    • Kimura, M.1
  • 19
    • 0001503634 scopus 로고
    • A simple model for the balance between selection and mutation
    • KINGMAN, J. F. C. (1978) A simple model for the balance between selection and mutation. J. Appl. Prob. 15, 1-12.
    • (1978) J. Appl. Prob. , vol.15 , pp. 1-12
    • Kingman, J.F.C.1
  • 20
    • 0016814243 scopus 로고
    • The maintenance of genetic variability by mutation in a polygenic character with linked loci
    • LANDE, R. (1975) The maintenance of genetic variability by mutation in a polygenic character with linked loci. Genet. Res. 26, 221-235.
    • (1975) Genet. Res. , vol.26 , pp. 221-235
    • Lande, R.1
  • 21
    • 0000570712 scopus 로고
    • Global stability of genetic systems governed by mutation and selection
    • MORAN, P. A. P. (1976) Global stability of genetic systems governed by mutation and selection. Math. Proc. Camb. Phil. Soc. 80, 331-336; II (1977) Math. Proc. Camb. Phil. Soc. 81, 435-441.
    • (1976) Math. Proc. Camb. Phil. Soc. , vol.80 , pp. 331-336
    • Moran, P.A.P.1
  • 22
    • 84971159930 scopus 로고
    • II
    • MORAN, P. A. P. (1976) Global stability of genetic systems governed by mutation and selection. Math. Proc. Camb. Phil. Soc. 80, 331-336; II (1977) Math. Proc. Camb. Phil. Soc. 81, 435-441.
    • (1977) Math. Proc. Camb. Phil. Soc. , vol.81 , pp. 435-441
  • 24
    • 0007388393 scopus 로고
    • Selection on a quantitative character
    • ed. A. Chakravarti. Van Nostrand, New York
    • NAGYLAKI, T. (1984) Selection on a quantitative character. In Human Population Genetics: The Pittsburgh Symposium, ed. A. Chakravarti. Van Nostrand, New York.
    • (1984) Human Population Genetics: The Pittsburgh Symposium
    • Nagylaki, T.1
  • 25
    • 0000483928 scopus 로고
    • Models and approximations for random genetic drift
    • NAGYLAKI, T. (1990) Models and approximations for random genetic drift. Theoret. Pop. Biol. 37, 192-212.
    • (1990) Theoret. Pop. Biol. , vol.37 , pp. 192-212
    • Nagylaki, T.1
  • 28
    • 0021419667 scopus 로고
    • Heritable genetic variation via mutation-selection balance: Lerch's zeta meets the abdominal bristle
    • TURELLI, M. (1984) Heritable genetic variation via mutation-selection balance: Lerch's zeta meets the abdominal bristle. Theoret. Pop. Biol. 25, 138-193.
    • (1984) Theoret. Pop. Biol. , vol.25 , pp. 138-193
    • Turelli, M.1
  • 29
    • 34249318581 scopus 로고
    • What is the difference between models of error thresholds and Muller's ratchet?
    • WAGNER, G. P. AND KRALL, P. (1993) What is the difference between models of error thresholds and Muller's ratchet? J. Math. Biol. 32, 33-44.
    • (1993) J. Math. Biol. , vol.32 , pp. 33-44
    • Wagner, G.P.1    Krall, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.