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Volumn 137, Issue 2, 1997, Pages 340-362

Global Asymptotics in Some Quasimonotone Reaction-Diffusion Systems with Delays

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EID: 0000655219     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1997.3264     Document Type: Article
Times cited : (51)

References (26)
  • 1
    • 0017014016 scopus 로고
    • Fixed point equations and nonlinear eigenvalue problems in order Banach spaces
    • Amann H. Fixed point equations and nonlinear eigenvalue problems in order Banach spaces. SIAM Rev. 18:1976;620-709.
    • (1976) SIAM Rev. , vol.18 , pp. 620-709
    • Amann, H.1
  • 2
    • 84988147935 scopus 로고
    • A reaction-diffusion system modelling the spread of bacterial infections
    • Blat J., Brown K. J. A reaction-diffusion system modelling the spread of bacterial infections. Math. Methods Appl. Sci. 8:1986;234-246.
    • (1986) Math. Methods Appl. Sci. , vol.8 , pp. 234-246
    • Blat, J.1    Brown, K.J.2
  • 3
    • 0003318955 scopus 로고
    • Mathematical Structures of Epidemic Systems
    • Berlin: Springer-Verlag
    • Capasso V. Mathematical Structures of Epidemic Systems. Lecture Notes in Biomathematics. 97:1993;Springer-Verlag, Berlin.
    • (1993) Lecture Notes in Biomathematics , vol.97
    • Capasso, V.1
  • 4
    • 0019807845 scopus 로고
    • Convergence of equilibrium states for a reaction-diffusion system modelling the spatial spread of a class of bacterial and viral diseases
    • Capasso V., Maddalena L. Convergence of equilibrium states for a reaction-diffusion system modelling the spatial spread of a class of bacterial and viral diseases. J. Math. Biol. 13:1981;173-184.
    • (1981) J. Math. Biol. , vol.13 , pp. 173-184
    • Capasso, V.1    Maddalena, L.2
  • 5
    • 0001283333 scopus 로고
    • Stability of fixed points for order-preserving discrete-time dynamical systems
    • Dancer E. N., Hess P. Stability of fixed points for order-preserving discrete-time dynamical systems. J. Reine Angew. Math. 419:1991;125-139.
    • (1991) J. Reine Angew. Math. , vol.419 , pp. 125-139
    • Dancer, E.N.1    Hess, P.2
  • 6
    • 0003107222 scopus 로고
    • Semilinear functional differential equations in Banach space
    • Fitzgibbon W. E. Semilinear functional differential equations in Banach space. J. Differential Equations. 29:1978;1-14.
    • (1978) J. Differential Equations , vol.29 , pp. 1-14
    • Fitzgibbon, W.E.1
  • 7
    • 0022842682 scopus 로고
    • Global stability in time-delayed single species dynamics
    • Freedman H. I., Gopalsamy K. Global stability in time-delayed single species dynamics. Bull. Math. Biol. 48:1986;485-492.
    • (1986) Bull. Math. Biol. , vol.48 , pp. 485-492
    • Freedman, H.I.1    Gopalsamy, K.2
  • 8
    • 0003293929 scopus 로고
    • Asymptotic Behavior of Dissipative Systems
    • Providence: Am. Math. Soc.
    • Hale J. K. Asymptotic Behavior of Dissipative Systems. Math. Surveys and Monographs. 25:1988;Am. Math. Soc. Providence.
    • (1988) Math. Surveys and Monographs , vol.25
    • Hale, J.K.1
  • 9
    • 0000802631 scopus 로고
    • Persistence in infinite-dimensional systems
    • Hale J. K., Waltman P. Persistence in infinite-dimensional systems. SIAM J. Math. Anal. 20:1989;388-395.
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 388-395
    • Hale, J.K.1    Waltman, P.2
  • 10
    • 0003323485 scopus 로고
    • Periodic-Parabolic Boundary Value Problems and Positivity
    • Harlow: Longman
    • Hess P. Periodic-Parabolic Boundary Value Problems and Positivity. Pitman Research Notes in Math. Series 247:1991;Longman, Harlow.
    • (1991) Pitman Research Notes in Math. , vol.247
    • Hess, P.1
  • 11
    • 84968480336 scopus 로고
    • The dynamical systems approach to differential equations
    • Hirsch M. W. The dynamical systems approach to differential equations. Bull. Amer. Math. Soc. 11:1984;1-64.
    • (1984) Bull. Amer. Math. Soc. , vol.11 , pp. 1-64
    • Hirsch, M.W.1
  • 13
    • 38249003751 scopus 로고
    • A limit set trichotomy for self-mappings of normal cones in Banach spaces
    • Krause U., Nussbaum R. D. A limit set trichotomy for self-mappings of normal cones in Banach spaces. Nonlinear Anal. 20:1993;855-870.
    • (1993) Nonlinear Anal. , vol.20 , pp. 855-870
    • Krause, U.1    Nussbaum, R.D.2
  • 14
    • 0007057879 scopus 로고
    • Asymptotic stability and critical points for nonlinear quasimonotone parabolic systems
    • Martin R. H. Asymptotic stability and critical points for nonlinear quasimonotone parabolic systems. J. Differential Equations. 30:1978;391-423.
    • (1978) J. Differential Equations , vol.30 , pp. 391-423
    • Martin, R.H.1
  • 15
    • 84966246501 scopus 로고
    • Abstract functional differential equations and reaction- diffusion systems
    • Martin R. H., Smith H. L. Abstract functional differential equations and reaction- diffusion systems. Trans. Amer. Math. Soc. 321:1990;1-44.
    • (1990) Trans. Amer. Math. Soc. , vol.321 , pp. 1-44
    • Martin, R.H.1    Smith, H.L.2
  • 16
    • 0001989035 scopus 로고
    • Reaction-diffusion systems with time delays: Monotonicity, invariance, comparison and convergence
    • Martin R. H., Smith H. L. Reaction-diffusion systems with time delays: Monotonicity, invariance, comparison and convergence. J. Reine Angew. Math. 413:1991;1-35.
    • (1991) J. Reine Angew. Math. , vol.413 , pp. 1-35
    • Martin, R.H.1    Smith, H.L.2
  • 18
    • 0007452641 scopus 로고
    • Cooperative systems of differential equations with concave nonlinearities
    • Smith H. L. Cooperative systems of differential equations with concave nonlinearities. Nonlinear Anal. 10:1986;1037-1052.
    • (1986) Nonlinear Anal. , vol.10 , pp. 1037-1052
    • Smith, H.L.1
  • 19
    • 0038840779 scopus 로고
    • Invariant curves for mappings
    • Smith H. L. Invariant curves for mappings. SIAM J. Math. Anal. 17:1986;1053-1067.
    • (1986) SIAM J. Math. Anal. , vol.17 , pp. 1053-1067
    • Smith, H.L.1
  • 20
    • 0001243427 scopus 로고
    • Monotone semiflows generated by functional differential equations
    • Smith H. L. Monotone semiflows generated by functional differential equations. J. Differential Equations. 66:1987;420-442.
    • (1987) J. Differential Equations , vol.66 , pp. 420-442
    • Smith, H.L.1
  • 21
    • 0003270907 scopus 로고
    • Monotone Dynamical Systems, An Introduction to the Theory of Competitive and Cooperative Systems
    • Providence: Am. Math. Soc.
    • Smith H. L. Monotone Dynamical Systems, An Introduction to the Theory of Competitive and Cooperative Systems. Mathematical Surveys and Monographs. 41:1995;Am. Math. Soc. Providence.
    • (1995) Mathematical Surveys and Monographs , vol.41
    • Smith, H.L.1
  • 22
    • 0001940401 scopus 로고
    • Asymptotic behavior of discrete-time semigroups of sublinear, strongly increasing mappings with applications in biology
    • Takáč P. Asymptotic behavior of discrete-time semigroups of sublinear, strongly increasing mappings with applications in biology. Nonlinear Anal. 14:1990;35-42.
    • (1990) Nonlinear Anal , vol.14 , pp. 35-42
    • Takáč, P.1
  • 23
    • 0030174748 scopus 로고    scopus 로고
    • Convergence in the part metric for discrete dynamical systems in ordered topological cones
    • Takáč P. Convergence in the part metric for discrete dynamical systems in ordered topological cones. Nonlinear Anal. 26:1996;1753-1777.
    • (1996) Nonlinear Anal. , vol.26 , pp. 1753-1777
    • Takáč, P.1
  • 24
    • 84968492827 scopus 로고
    • Existence and stability for partial functional differential equations
    • Travis C. C., Webb G. F. Existence and stability for partial functional differential equations. Trans. Amer. Math. Soc. 200:1974;395-418.
    • (1974) Trans. Amer. Math. Soc. , vol.200 , pp. 395-418
    • Travis, C.C.1    Webb, G.F.2
  • 25
    • 0000224082 scopus 로고    scopus 로고
    • Global attractivity and stability in some monotone discrete dynamical systems
    • Zhao X.-Q. Global attractivity and stability in some monotone discrete dynamical systems. Bull. Austral. Math. Soc. 53:1996;305-324.
    • (1996) Bull. Austral. Math. Soc. , vol.53 , pp. 305-324
    • Zhao, X.-Q.1
  • 26
    • 0013174737 scopus 로고    scopus 로고
    • Global asymptotic behavior in some cooperative systems of functional differential equations
    • X.-Q. Zhao, Z.-J. Jing, Global asymptotic behavior in some cooperative systems of functional differential equations, Canad. Appl. Math. Quart.
    • Canad. Appl. Math. Quart.
    • Zhao, X.-Q.1    Jing, Z.-J.2


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