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Volumn 57, Issue 3, 1996, Pages 211-221

A shooting argument approach to a sharp-type solution for nonlinear degenerate Fisher-KPP equations

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; MATHEMATICAL TECHNIQUES; MATHEMATICAL TRANSFORMATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; WAVEFORM ANALYSIS;

EID: 0030382844     PISSN: 02724960     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamat/57.3.211     Document Type: Article
Times cited : (22)

References (26)
  • 1
    • 0002488752 scopus 로고
    • Nonlinear diffusion in population, genetics and nerve pulse propagation
    • (J. A. Goldstein, ed.). Lecture Notes in Mathematics, No. 446
    • ARONSON, D. G., & WEINBERGER, H. F., 1975. Nonlinear diffusion in population, genetics and nerve pulse propagation. In: Partial Differential Equations and related topics (J. A. Goldstein, ed.). Lecture Notes in Mathematics, No. 446, pp. 5-49.
    • (1975) Partial Differential Equations and Related Topics , pp. 5-49
    • Aronson, D.G.1    Weinberger, H.F.2
  • 2
    • 49349119963 scopus 로고
    • Multidimensional nonlinear diffusion arising in population genetics
    • ARONSON, D. G., & WEINBERGER, H. F., 1978. Multidimensional nonlinear diffusion arising in population genetics. Adv. Maths. 30, 33-76.
    • (1978) Adv. Maths. , vol.30 , pp. 33-76
    • Aronson, D.G.1    Weinberger, H.F.2
  • 3
    • 0008270784 scopus 로고
    • Density-dependent interaction-diffusion systems
    • (W. E. Steward, W. H. Ray, & C. C. Conley, eds.), Academic Press
    • ARONSON, D. G., 1980. Density-dependent interaction-diffusion systems. In: Dynamics and Modelling of Reactive Systems (W. E. Steward, W. H. Ray, & C. C. Conley, eds.), pp. 161-76. Academic Press.
    • (1980) Dynamics and Modelling of Reactive Systems , pp. 161-176
    • Aronson, D.G.1
  • 4
    • 0002071824 scopus 로고
    • The role of diffusion in mathematical population biology: Skellam revisited
    • (V. Cappaso, E. Grosso, & S. L. Noveri Fontana, eds.). Springer Verlag
    • ARONSON, D. G., 1985. The role of diffusion in mathematical population biology: Skellam revisited, In: Lecture Notes in Biomathematics 57, (V. Cappaso, E. Grosso, & S. L. Noveri Fontana, eds.). Springer Verlag.
    • (1985) Lecture Notes in Biomathematics 57
    • Aronson, D.G.1
  • 7
    • 84968516075 scopus 로고
    • Relations between travelling wave solutions of quasilinear parabolic equations
    • ENGLER, H., 1985. Relations between travelling wave solutions of quasilinear parabolic equations. Proc. Am. Soc. 93, 297-302.
    • (1985) Proc. Am. Soc. , vol.93 , pp. 297-302
    • Engler, H.1
  • 8
    • 0017637590 scopus 로고
    • The approach of solutions of nonlinear diffusion equations to travelling front solutions
    • FIFE, P. C., & McLeod, J. B., 1977. The approach of solutions of nonlinear diffusion equations to travelling front solutions, Arch. Rat. Mech. Anal. 65, 335-61.
    • (1977) Arch. Rat. Mech. Anal. , vol.65 , pp. 335-361
    • Fife, P.C.1    McLeod, J.B.2
  • 11
    • 84988164337 scopus 로고
    • Weak travelling fronts for population models with density dependent dispersion
    • GRINDROD, P., & SLEEMAN, B., 1987. Weak travelling fronts for population models with density dependent dispersion. Math. Meth. Appl. Sci. 9, 576-86.
    • (1987) Math. Meth. Appl. Sci. , vol.9 , pp. 576-586
    • Grindrod, P.1    Sleeman, B.2
  • 12
    • 0016743943 scopus 로고
    • Travelling fronts in nonlinear diffusion equations
    • HADELER, K. P., & ROTHE, F., 1975. Travelling fronts in nonlinear diffusion equations. J. Math. Biol. 2, 251-63.
    • (1975) J. Math. Biol. , vol.2 , pp. 251-263
    • Hadeler, K.P.1    Rothe, F.2
  • 13
    • 21244504876 scopus 로고
    • Travelling fronts and free boundary value problems
    • (J. Albretch, L. Collatz, & H. K. Hoffman, eds.). Birkhauser-Verlag
    • HADELER, K. P., 1981. Travelling fronts and free boundary value problems. In: Numerical Treatment of Free Boundary Value Problems (J. Albretch, L. Collatz, & H. K. Hoffman, eds.). Birkhauser-Verlag.
    • (1981) Numerical Treatment of Free Boundary Value Problems
    • Hadeler, K.P.1
  • 15
    • 3743093317 scopus 로고
    • Study of the diffusion equation with growth of the quantity of matter and its applications to biological problems
    • (F. Oliveira-Pinto & B. W. Conolly, eds.). Ellis Horwood Series. Mathematics and Its Applications, John Wiley & Sons, New York
    • KOLMOGOROV, A., PETROVSKY, I., & PISKOUNOV, N., 1982. Study of the diffusion equation with growth of the quantity of matter and its applications to biological problems. In: Applicable Mathematics to Non-physical Phenomena (F. Oliveira-Pinto & B. W. Conolly, eds.). Ellis Horwood Series. Mathematics and Its Applications, John Wiley & Sons, New York.
    • (1982) Applicable Mathematics to Non-physical Phenomena
    • Kolmogorov, A.1    Petrovsky, I.2    Piskounov, N.3
  • 16
    • 0000658639 scopus 로고
    • Bifurcation and trajectories joining critical points
    • KOPELL, N., & HOWARD, L. N., 1975. Bifurcation and trajectories joining critical points. Adv. Maths. 18, 306-58.
    • (1975) Adv. Maths. , vol.18 , pp. 306-358
    • Kopell, N.1    Howard, L.N.2
  • 17
    • 0003475470 scopus 로고
    • Biomathematics Texts 19. Springer Verlag
    • MURRAY, J. D., 1989. Mathematical Biology. Biomathematics Texts 19. Springer Verlag.
    • (1989) Mathematical Biology
    • Murray, J.D.1
  • 19
    • 0022854743 scopus 로고
    • Dynamical aspects of animal grouping: Swarms, schools, flocks and herds
    • OKUBO, A., 1986. Dynamical aspects of animal grouping: Swarms, schools, flocks and herds. Adv. Biophys. 22, 1-94.
    • (1986) Adv. Biophys. , vol.22 , pp. 1-94
    • Okubo, A.1
  • 21
    • 38249001593 scopus 로고
    • Rotated vector fields
    • PERKO, L. M., 1993. Rotated vector fields. J. Diff. Eqns. 103, 127-45.
    • (1993) J. Diff. Eqns. , vol.103 , pp. 127-145
    • Perko, L.M.1
  • 23
    • 84951609574 scopus 로고
    • The existence and uniqueness of a sharp travelling wave solution for a generalized Fisher-KPP equation
    • SÁNCHEZ-GARDUÑO, F., & MAINI, P. K., 1994. The existence and uniqueness of a sharp travelling wave solution for a generalized Fisher-KPP equation. J. Math. Biol. 33, 163-92.
    • (1994) J. Math. Biol. , vol.33 , pp. 163-192
    • Sánchez-Garduño, F.1    Maini, P.K.2
  • 26
    • 0003659232 scopus 로고
    • Princeton, N.J.: Princeton University Press
    • WINFREE, A. T., 1987. When Time Breaks Down. Princeton, N.J.: Princeton University Press.
    • (1987) When Time Breaks Down
    • Winfree, A.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.