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Volumn 15, Issue 7, 2005, Pages 1091-1117

Stationary solutions of a selection mutation model: The pure mutation case

Author keywords

Evolutionary stable strategy; Selection mutation equations; Stationary solutions

Indexed keywords


EID: 21644456015     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202505000637     Document Type: Article
Times cited : (25)

References (28)
  • 2
    • 0000377165 scopus 로고
    • Non-negative solutions of linear parabolic equations
    • D. G. Aronson, Non-negative solutions of linear parabolic equations, Ann. Scuola. Norm. Sup. Pisa Cl. Sci. 22 (1968) 607-694.
    • (1968) Ann. Scuola. Norm. Sup. Pisa Cl. Sci. , vol.22 , pp. 607-694
    • Aronson, D.G.1
  • 3
  • 4
    • 0041494930 scopus 로고
    • Perturbations of positive semigroups and applications to population genetics
    • R. Bürger, Perturbations of positive semigroups and applications to population genetics, Math. Z. 197 (1988) 259-272.
    • (1988) Math. Z. , vol.197 , pp. 259-272
    • Bürger, R.1
  • 5
    • 0000154991 scopus 로고    scopus 로고
    • Stationary distributions under mutation-selection balance: Structure and properties
    • R. Bürger and I. M. Bomze, Stationary distributions under mutation-selection balance: structure and properties, Adv. Appl. Probab. 28 (1996) 227-251.
    • (1996) Adv. Appl. Probab. , vol.28 , pp. 227-251
    • Bürger, R.1    Bomze, I.M.2
  • 6
    • 0034714170 scopus 로고    scopus 로고
    • A model for the adaptive dynamics of the maturation age
    • À. Calsina and S. Cuadrado, A model for the adaptive dynamics of the maturation age, Ecol. Model. 133 (2000) 33-43.
    • (2000) Ecol. Model , vol.133 , pp. 33-43
    • Calsina, À.1    Cuadrado, S.2
  • 7
    • 16544394080 scopus 로고    scopus 로고
    • Small mutation rate and evolutionarily stable strategies in infinite dimensional adaptive dynamics
    • À. Calsina and S. Cuadrado, Small mutation rate and evolutionarily stable strategies in infinite dimensional adaptive dynamics, J. Math. Biol. 48 (2004) 135-159.
    • (2004) J. Math. Biol. , vol.48 , pp. 135-159
    • Calsina, À.1    Cuadrado, S.2
  • 9
    • 0038695682 scopus 로고
    • Non-local reaction-diffusion equations modelling predator-prey coevolution
    • À. Calsina, C. Perelló and J. Saldaña, Non-local reaction-diffusion equations modelling predator-prey coevolution, Publ. Mat. 38 (1994) 315-325.
    • (1994) Publ. Mat. , vol.38 , pp. 315-325
    • Calsina, À.1    Perelló, C.2    Saldaña, J.3
  • 11
    • 0015746829 scopus 로고
    • Bifurcation, perturbation of simple eigenvalues and linearized stability
    • M. G. Crandall and P. H. Rabinowitz, Bifurcation, perturbation of simple eigenvalues and linearized stability, Arch. Rational Mech. Anal. 52 (1973) 161-180.
    • (1973) Arch. Rational Mech. Anal. , vol.52 , pp. 161-180
    • Crandall, M.G.1    Rabinowitz, P.H.2
  • 14
    • 0141433304 scopus 로고    scopus 로고
    • Steady state analysis of structured population models
    • O. Diekmann, M. Gyllenberg and J. A. J. Metz, Steady state analysis of structured population models, Theor. Pop. Biol. 63 (2003) 309-338.
    • (2003) Theor. Pop. Biol. , vol.63 , pp. 309-338
    • Diekmann, O.1    Gyllenberg, M.2    Metz, J.A.J.3
  • 16
    • 0042328777 scopus 로고
    • A typical Perron-Frobenius theorem with applications to an age-dependent population equation
    • Lecture Notes in Mathematics, F. Kappel and W. Schapacher Springer
    • G. Greiner, A typical Perron-Frobenius theorem with applications to an age-dependent population equation, in Infinite-Dimensional Systems, Lecture Notes in Mathematics, Vol. 1076, eds. F. Kappel and W. Schapacher (Springer, 1983).
    • (1983) Infinite-Dimensional Systems , vol.1076
    • Greiner, G.1
  • 17
    • 32644464300 scopus 로고
    • Translations of Mathematical Monographs, Amer. Math. Soc.
    • S. Itô, Diffusion Equations, Translations of Mathematical Monographs, Vol. 114 (Amer. Math. Soc., 1992).
    • (1992) Diffusion Equations , vol.114
    • Itô, S.1
  • 18
    • 0004273999 scopus 로고
    • Surveys and Reference Works in Mathematics, Pitman
    • K. Jörgens, Linear Integral Operators, Surveys and Reference Works in Mathematics, Vol. 7 (Pitman, 1982).
    • (1982) Linear Integral Operators , vol.7
    • Jörgens, K.1
  • 20
    • 0013802404 scopus 로고
    • A stochastic model concerning the maintenance of genetic variability in quantitative characters
    • M. Kimura, A stochastic model concerning the maintenance of genetic variability in quantitative characters, Proc. Natl. Acad. Sci. U.S.A. 54 (1965) 731-736.
    • (1965) Proc. Natl. Acad. Sci. U.S.A. , vol.54 , pp. 731-736
    • Kimura, M.1
  • 21
    • 0034387462 scopus 로고    scopus 로고
    • Mutation, selection, and recombination in a model of phenotype evolution
    • P. Magal and G. F. Webb, Mutation, selection, and recombination in a model of phenotype evolution, Discr. Contin. Dyn. Syst. 6 (2000) 221-236.
    • (2000) Discr. Contin. Dyn. Syst. , vol.6 , pp. 221-236
    • Magal, P.1    Webb, G.F.2
  • 22
    • 34548719708 scopus 로고
    • The logic of animal conflict
    • J. Maynard-Smith and G. R. Price, The logic of animal conflict, Nature 246 (1973) 15-18.
    • (1973) Nature , vol.246 , pp. 15-18
    • Maynard-Smith, J.1    Price, G.R.2
  • 25
    • 0003594679 scopus 로고
    • Die Grundlehren der mathematischen Wissenschaften, Springer-Verlag
    • H. H. Schaefer, Banach Lattices and Positive Operators, Die Grundlehren der mathematischen Wissenschaften, Band 215 (Springer-Verlag, 1974).
    • (1974) Banach Lattices and Positive Operators , vol.215
    • Schaefer, H.H.1
  • 26
    • 0003818860 scopus 로고
    • Monographs and Textbooks in Pure and Applied Mathematics, Marcel Dekker
    • N. A. Watson, Parabolic Equations on an Infinite Strip, Monographs and Textbooks in Pure and Applied Mathematics, Vol. 127 (Marcel Dekker, 1989).
    • (1989) Parabolic Equations on An Infinite Strip , vol.127
    • Watson, N.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.