메뉴 건너뛰기




Volumn 60, Issue 1, 2010, Pages 107-129

On mathematical theory of selection: Continuous time population dynamics

Author keywords

Dynamics of distribution; Inhomogeneous logistic model; Replicator equation; Selection system; The Price equation

Indexed keywords

ARTICLE; BIOLOGICAL MODEL; GENETIC SELECTION; MATHEMATICAL PHENOMENA; POPULATION DYNAMICS; POPULATION GENETICS; STATISTICAL MODEL;

EID: 70350230149     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-009-0252-0     Document Type: Article
Times cited : (54)

References (39)
  • 2
    • 28444476218 scopus 로고    scopus 로고
    • Rate distribution and survival of the fittest: A formulation on the space of measures
    • Ackleh AS, Fitzpatrick BG, Thieme HR (2005) Rate distribution and survival of the fittest: a formulation on the space of measures. Discret Contin Dyn Syst Ser B 5(4): 917-928.
    • (2005) Discret Contin Dyn Syst Ser B , vol.5 , Issue.4 , pp. 917-928
    • Ackleh, A.S.1    Fitzpatrick, B.G.2    Thieme, H.R.3
  • 3
    • 0023317666 scopus 로고
    • Adaptive landscapes, genetic distance and the evolution of quantitative characters
    • Barton MN, Turelli M (1987) Adaptive landscapes, genetic distance and the evolution of quantitative characters. Genet Res 49: 157-173.
    • (1987) Genet Res , vol.49 , pp. 157-173
    • Barton, M.N.1    Turelli, M.2
  • 5
    • 36549030168 scopus 로고    scopus 로고
    • The Price equation, Fishers fundamental theorem, kin selection and causal analysis
    • Frank SA (1997) The Price equation, Fishers fundamental theorem, kin selection and causal analysis. Evolution 1712: 51.
    • (1997) Evolution , vol.1712 , pp. 51
    • Frank, S.A.1
  • 6
    • 0004085058 scopus 로고
    • Williams and Wilkins, Baltimore
    • Gause GF (1934) The struggle for existence. Williams and Wilkins, Baltimore. http://www.ggause.com/Contgau.htm.
    • (1934) The Struggle for Existence
    • Gause, G.F.1
  • 7
    • 70350235647 scopus 로고    scopus 로고
    • Equations of chemical kinetics and their thermodynamic analysis
    • Nauka, Novosibirsk [in Russian]
    • Gorban AN (1984) Equilibrium encircling. Equations of chemical kinetics and their thermodynamic analysis, Nauka, Novosibirsk [in Russian].
    • Equilibrium Encircling
    • Gorban, A.N.1
  • 8
    • 67650923466 scopus 로고    scopus 로고
    • Selection theorem for systems with inheritance
    • Gorban AN (2007) Selection theorem for systems with inheritance. Math Model Nat Phenom 2(4): 1-45.
    • (2007) Math Model Nat Phenom , vol.2 , Issue.4 , pp. 1-45
    • Gorban, A.N.1
  • 10
    • 33745438509 scopus 로고    scopus 로고
    • A theory of Fisher's reproductive value
    • Grafen A (2006) A theory of Fisher's reproductive value. J Math Biol 53: 15-60.
    • (2006) J Math Biol , vol.53 , pp. 15-60
    • Grafen, A.1
  • 11
    • 0027046094 scopus 로고
    • The effect of stochastic variation on kin selection in a budding-viscous population
    • Goodnight KF (1992) The effect of stochastic variation on kin selection in a budding-viscous population. Am Nat 140: 1028-1040.
    • (1992) Am Nat , vol.140 , pp. 1028-1040
    • Goodnight, K.F.1
  • 14
    • 0012725299 scopus 로고    scopus 로고
    • The effects of non-uniformity in population models
    • Karev GP (2000) The effects of non-uniformity in population models. Doklady Math 62: 141-144.
    • (2000) Doklady Math , vol.62 , pp. 141-144
    • Karev, G.P.1
  • 15
    • 0037301553 scopus 로고    scopus 로고
    • Inhomogeneous models of tree stand self-thinning
    • Karev GP (2003) Inhomogeneous models of tree stand self-thinning. Ecol Model 160: 23-37.
    • (2003) Ecol Model , vol.160 , pp. 23-37
    • Karev, G.P.1
  • 16
    • 19344377125 scopus 로고    scopus 로고
    • Dynamic theory of non-uniform population and global demography models
    • Karev GP (2005a) Dynamic theory of non-uniform population and global demography models. J Biol Syst 13: 83-104.
    • (2005) J Biol Syst , vol.13 , pp. 83-104
    • Karev, G.P.1
  • 17
    • 34248141532 scopus 로고    scopus 로고
    • Dynamics of heterogeneous populations and communities and evolution of distributions
    • Karev GP (2005b) Dynamics of heterogeneous populations and communities and evolution of distributions. Discret. Continuous Dyn Syst Suppl Vol 487-496.
    • (2005) Discret. Continuous Dyn Syst Suppl Vol , pp. 487-496
    • Karev, G.P.1
  • 18
    • 36549053997 scopus 로고    scopus 로고
    • Inhomogeneous maps and mathematical theory of selection
    • Karev GP (2008) Inhomogeneous maps and mathematical theory of selection. JDEA 14: 31-58.
    • (2008) JDEA , vol.14 , pp. 31-58
    • Karev, G.P.1
  • 21
    • 0001214721 scopus 로고
    • The measurement of selection on correlated characters
    • Lande R, Arnold SJ (1983) The measurement of selection on correlated characters. Evolution 37: 1210-1226.
    • (1983) Evolution , vol.37 , pp. 1210-1226
    • Lande, R.1    Arnold, S.J.2
  • 23
    • 70350219730 scopus 로고
    • Fundamental theorem of natural selection
    • Li CC (1967) Fundamental theorem of natural selection. Nat Lond 214: 504.
    • (1967) Nat Lond , vol.214 , pp. 504
    • Li, C.C.1
  • 25
    • 31544436917 scopus 로고    scopus 로고
    • A new modeling approach to the effect of antimicrobial agents on heterogeneous microbial populations
    • Nikolaou M, Tam VH (2005) A new modeling approach to the effect of antimicrobial agents on heterogeneous microbial populations. J Math Biol 52: 154-182.
    • (2005) J Math Biol , vol.52 , pp. 154-182
    • Nikolaou, M.1    Tam, V.H.2
  • 26
    • 52049090624 scopus 로고    scopus 로고
    • On the Spread of Epidemics in a Closed Heterogeneous Population
    • doi:10.1016/j.mbs.2008.07.010
    • Novozhilov AS On the spread of epidemics in a closed heterogeneous population. Math Biosci (2009). doi:10.1016/j.mbs.2008.07.010.
    • (2009) Math Biosci
    • Novozhilov, A.S.1
  • 27
    • 0036426078 scopus 로고    scopus 로고
    • Unifying evolutionary dynamics
    • Page KM, Nowak MA (2002) Unifying evolutionary dynamics. J Theor Biol 219: 93.
    • (2002) J Theor Biol , vol.219 , pp. 93
    • Page, K.M.1    Nowak, M.A.2
  • 30
    • 0029023814 scopus 로고
    • The nature of selection
    • Price GR (1955) The nature of selection. J Theor Biol 175: 389.
    • (1955) J Theor Biol , vol.175 , pp. 389
    • Price, G.R.1
  • 31
    • 0014830535 scopus 로고
    • Selection and covariance
    • Price GR (1970) Selection and covariance. Nature 227: 520.
    • (1970) Nature , vol.227 , pp. 520
    • Price, G.R.1
  • 32
    • 0015330403 scopus 로고
    • Extension of covariance selection mathematics
    • Price GR (1972) Extension of covariance selection mathematics. Ann Hum Genet 35: 484.
    • (1972) Ann Hum Genet , vol.35 , pp. 484
    • Price, G.R.1
  • 33
    • 28644450316 scopus 로고    scopus 로고
    • Sunderland, MA: Sinauer Associates Inc
    • Rice SH (2006) Evolutionary theory. Sinauer Associates Inc., Sunderland, MA.
    • (2006) Evolutionary theory
    • Rice, S.H.1
  • 34
    • 0001934292 scopus 로고
    • The spectrum of generic variation
    • Lewontin RC (ed), University Press, Syracuse
    • Robertson A (1968) The spectrum of generic variation. In: Lewontin RC (ed) Population biology and evolution. University Press, Syracuse, p 4.
    • (1968) Population Biology and Evolution , pp. 4
    • Robertson, A.1
  • 38
    • 0030618151 scopus 로고    scopus 로고
    • Group selection and assortative interactions
    • Wilson DS, Dugatkin LA (1997) Group selection and assortative interactions. Am Nat 149: 336-351.
    • (1997) Am Nat , vol.149 , pp. 336-351
    • Wilson, D.S.1    Dugatkin, L.A.2
  • 39
    • 34547607777 scopus 로고    scopus 로고
    • A first-principles model of early evolution: emergence of gene families, species, and preferred protein folds
    • Zeldovich KB, Chen P, Shakhnovich BE, Shakhnovich EI (2007) A first-principles model of early evolution: emergence of gene families, species, and preferred protein folds. PLoS Comput Biol 3(7).
    • (2007) PLoS Comput Biol , vol.3 , Issue.7
    • Zeldovich, K.B.1    Chen, P.2    Shakhnovich, B.E.3    Shakhnovich, E.I.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.