메뉴 건너뛰기




Volumn 4, Issue 4, 2004, Pages 1117-1128

Fisher waves in an epidemic model

Author keywords

Epidemic model; Monotone iterations; Traveling waves; Upper and lower solutions

Indexed keywords


EID: 4944231539     PISSN: 15313492     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcdsb.2004.4.1117     Document Type: Article
Times cited : (144)

References (20)
  • 1
    • 0002488752 scopus 로고
    • Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation
    • (J. A. Goldstein, ed.), Lecture Notes in Mathematics, Springer-Verlag
    • D. G. Aronson and H. F. Weinberger, Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation, in Partial Differential Equations and Related Topics(J. A. Goldstein, ed.), Lecture Notes in Mathematics, 446, Springer-Verlag, 1975, 5-49.
    • (1975) Partial Differential Equations and Related Topics , vol.446 , pp. 5-49
    • Aronson, D.G.1    Weinberger, H.F.2
  • 3
    • 0019807845 scopus 로고
    • Convergence to equilibrium states for a reaction-diffusion system modeling the spatial spread of a class of bacterial and viral diseases
    • V. Capasso and L. Maddalena, Convergence to equilibrium states for a reaction-diffusion system modeling the spatial spread of a class of bacterial and viral diseases, J. Math. Biology, 13 (1981), 173-184.
    • (1981) J. Math. Biology , vol.13 , pp. 173-184
    • Capasso, V.1    Maddalena, L.2
  • 4
    • 0345009973 scopus 로고
    • Maddalena, Saddle point behavior for a reaction-diffusion system: Application to a class of epidemic models
    • V. Capasso and L. Maddalena, Saddle point behavior for a reaction-diffusion system: Application to a class of epidemic models, Math. Comput. Simulation, 24 (1982), 540-547.
    • (1982) Math. Comput. Simulation , vol.24 , pp. 540-547
    • Capasso, V.1    Maddalena, L.2
  • 6
    • 0031117716 scopus 로고    scopus 로고
    • Analysis of a reaction- Diffusion modeling man-environment-man epidemics
    • V. Capasso and R. E. Wilson, Analysis of a reaction- diffusion modeling man-environment-man epidemics, SIAM J. Appl. Math. , 57 (1997), 327-346.
    • (1997) SIAM J. Appl. Math. , vol.57 , pp. 327-346
    • Capasso, V.1    Wilson, R.E.2
  • 8
    • 0018184969 scopus 로고
    • Thresholds and traveling waves for the geographical spread of infection
    • O. Diekmann, Thresholds and traveling waves for the geographical spread of infection, J. Math. Biology, 6 (1978), 109-130.
    • (1978) J. Math. Biology , vol.6 , pp. 109-130
    • Diekmann, O.1
  • 10
    • 0034277973 scopus 로고    scopus 로고
    • Travelling front solutions of a nonlocal Fisher equation
    • S. A. Gourley, Travelling front solutions of a nonlocal Fisher equation, J. Math. Biology, 41 (2000), 272-284.
    • (2000) J. Math. Biology , vol.41 , pp. 272-284
    • Gourley, S.A.1
  • 11
    • 0842305558 scopus 로고    scopus 로고
    • Nonlinear propagation in reaction transport systems
    • Fields Inst. Commun., AMS, Providence, RI
    • K. P. Hadeler, Nonlinear propagation in reaction transport systems, in Differential Equations with Applications to Biology, Fields Inst. Commun., 21, AMS, Providence, RI, 1999, 251-257.
    • (1999) Differential Equations with Applications to Biology , vol.21 , pp. 251-257
    • Hadeler, K.P.1
  • 12
    • 0016743943 scopus 로고
    • Travelling fronts in nonlinear diffusion equations
    • K. P. Hadeler and F. Rothe, Travelling fronts in nonlinear diffusion equations, J. Math. Biology, 2 (1975), 251-263.
    • (1975) J. Math. Biology , vol.2 , pp. 251-263
    • Hadeler, K.P.1    Rothe, F.2
  • 13
    • 0035836903 scopus 로고    scopus 로고
    • Traveling wavefronts for delayed reaction-diffusion systems via a fixed point theorem
    • S. Ma, Traveling wavefronts for delayed reaction-diffusion systems via a fixed point theorem, J. Diff. Eqns., 171 (2001), 294-314.
    • (2001) J. Diff. Eqns. , vol.171 , pp. 294-314
    • Ma, S.1
  • 15
    • 0001584326 scopus 로고
    • Asymptotic behavior and traveling wave solutions for parabolic functional differential equations
    • K. W. Schaaf, Asymptotic behavior and traveling wave solutions for parabolic functional differential equations, Trans. Amer. Math. Soc., 302 (1987), 587-615.
    • (1987) Trans. Amer. Math. Soc. , vol.302 , pp. 587-615
    • Schaaf, K.W.1
  • 16
    • 0040807398 scopus 로고    scopus 로고
    • Global asymptotic stability of traveling waves in delayed reaction-diffusion equations
    • H. L. Smith and X.-Q. Zhao, Global asymptotic stability of traveling waves in delayed reaction-diffusion equations, SIAM J. Math. Anal., 31 (2000), 514-534.
    • (2000) SIAM J. Math. Anal. , vol.31 , pp. 514-534
    • Smith, H.L.1    Zhao, X.-Q.2
  • 19
    • 0343717093 scopus 로고    scopus 로고
    • Traveling wave fronts of reaction- Diffusion systems with delay
    • J. Wu and X. Zou, Traveling wave fronts of reaction- diffusion systems with delay, J. Dynamics and Differential Equations, 13 (2001), 651-687.
    • (2001) J. Dynamics and Differential Equations , vol.13 , pp. 651-687
    • Wu, J.1    Zou, X.2
  • 20
    • 0013174737 scopus 로고    scopus 로고
    • Global asymptotic behavior in some cooperative systems of functional differential equations
    • X.-Q. Zhao and Z.-J. Jing, Global asymptotic behavior in some cooperative systems of functional differential equations, Canadian Applied Mathematics Quarterly, 4 (1996), 421-444.
    • (1996) Canadian Applied Mathematics Quarterly , vol.4 , pp. 421-444
    • Zhao, X.-Q.1    Jing, Z.-J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.