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Volumn 33, Issue 3, 2001, Pages 570-588

A mathematical model of the spread of feline leukemia virus (FeLV) through a highly heterogeneous spatial domain

Author keywords

Compartmental or diffractive diffusion; Homogenization; Mass action; Proportionate mixing; Spatial heterogeneity

Indexed keywords


EID: 0036347980     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141000371757     Document Type: Article
Times cited : (49)

References (29)
  • 2
    • 0009967980 scopus 로고
    • Vertically Transmitted Diseases
    • Springer-Verlag, New York
    • S. BUSENBERG AND K. C. COOKE, Vertically Transmitted Diseases, Biomathematics 23, Springer-Verlag, New York, 1993.
    • (1993) Biomathematics , vol.23
    • Busenberg, S.1    Cooke, K.C.2
  • 3
    • 0029097142 scopus 로고
    • Population dynamics of feline immunodeficiency virus within populations of cats
    • F. COURCHAMP, D. PONTIER, M. LANGLAIS, AND M. ARTOIS, Population dynamics of feline immunodeficiency virus within populations of cats, J. Theoretical Biology, 175 (1995), pp. 553-560.
    • (1995) J. Theoretical Biology , vol.175 , pp. 553-560
    • Courchamp, F.1    Pontier, D.2    Langlais, M.3    Artois, M.4
  • 5
    • 0009970156 scopus 로고    scopus 로고
    • Diffusive SEIR models with logistic population control
    • W. FITZGIBBON AND M. LANGLAIS, Diffusive SEIR models with logistic population control, Comm. Appl. Nonlinear Anal., 4 (1997), pp. 1-16.
    • (1997) Comm. Appl. Nonlinear Anal. , vol.4 , pp. 1-16
    • Fitzgibbon, W.1    Langlais, M.2
  • 6
    • 0009970157 scopus 로고
    • Diffractive diffusion systems with locally defined reactions
    • G. Goldstein et al., eds., M. Dekker, New York
    • W. FITZGIBBON AND J. J. MORGAN, Diffractive diffusion systems with locally defined reactions, in Evolution Equations, G. Goldstein et al., eds., M. Dekker, New York, 1994, pp. 177-186.
    • (1994) Evolution Equations , pp. 177-186
    • Fitzgibbon, W.1    Morgan, J.J.2
  • 7
    • 0010004369 scopus 로고    scopus 로고
    • Steady state solutions for balanced reaction diffusion systems on heterogeneous domains
    • W. FITZGIBBON, S. HOLLIS, AND J. MORGAN, Steady state solutions for balanced reaction diffusion systems on heterogeneous domains, Differential Integral Equations, 12 (1999), pp. 637-660.
    • (1999) Differential Integral Equations , vol.12 , pp. 637-660
    • Fitzgibbon, W.1    Hollis, S.2    Morgan, J.3
  • 8
    • 0037682923 scopus 로고    scopus 로고
    • Eventually uniform bounds for a quasipositive reaction diffusion system
    • W. FITZGIBBON, M. LANGLAIS, AND J. J. MORGAN, Eventually uniform bounds for a quasipositive reaction diffusion system, Japan J. Industrial Appl. Math., 16 (2000), pp. 225-241.
    • (2000) Japan J. Industrial Appl. Math. , vol.16 , pp. 225-241
    • Fitzgibbon, W.1    Langlais, M.2    Morgan, J.J.3
  • 10
    • 38249008528 scopus 로고
    • Global existence and boundedness for a class of inhomogeneous semilinear parabolic equations
    • W. FITZGIBBON, J. J. MORGAN, AND R. SANDERS, Global existence and boundedness for a class of inhomogeneous semilinear parabolic equations, Nonlinear Anal., 19 (1992), pp. 885-899.
    • (1992) Nonlinear Anal. , vol.19 , pp. 885-899
    • Fitzgibbon, W.1    Morgan, J.J.2    Sanders, R.3
  • 12
    • 0032557893 scopus 로고    scopus 로고
    • Dynamics of a feline retrovirus (FeLV) in host populations with variable structures
    • E. FROMONT, M. LANGLAIS, AND D. PONTIER, Dynamics of a feline retrovirus (FeLV) in host populations with variable structures, Proc. Roy. Soc. London Ser. B, 265 (1998), pp. 1097-1104.
    • (1998) Proc. Roy. Soc. London Ser. B , vol.265 , pp. 1097-1104
    • Fromont, E.1    Langlais, M.2    Pontier, D.3
  • 14
    • 0010043381 scopus 로고
    • The virology, immunology and epidemiology of the feline leukemia virus
    • W. D. Hardy, M. Essex, and A. J. McClelland, eds., Elsevier North Holland, New York
    • W. D. HARDY, JR., The virology, immunology and epidemiology of the feline leukemia virus, in Feline Leukemia Virus, W. D. Hardy, M. Essex, and A. J. McClelland, eds., Elsevier North Holland, New York, 1980, pp. 33-78.
    • (1980) Feline Leukemia Virus , pp. 33-78
    • Hardy Jr., W.D.1
  • 19
    • 0010008823 scopus 로고
    • On the classical solvability of diffraction problems for equations of elliptic and parabolic type
    • O. A. LADYZHENSKAYA, V. RIVKIND, AND N. URAL'CEVA, On the classical solvability of diffraction problems for equations of elliptic and parabolic type, Soviet Math. Dokl., 5 (1965), pp. 1249-1252.
    • (1965) Soviet Math. Dokl. , vol.5 , pp. 1249-1252
    • Ladyzhenskaya, O.A.1    Rivkind, V.2    Ural'ceva, N.3
  • 20
    • 0003223550 scopus 로고
    • Linear and quasilinear equations of parabolic type
    • Providence Rhode Island
    • O. A. LADYZHENSKAYA, V. SOLONNIKOV, AND N. URAL'CEVA, Linear and quasilinear equations of parabolic type, Transl. AMS 23, Providence Rhode Island, 1968.
    • (1968) Transl. AMS , vol.23
    • Ladyzhenskaya, O.A.1    Solonnikov, V.2    Ural'ceva, N.3
  • 22
    • 0000753609 scopus 로고
    • Global existence for semilinear parabolic systems
    • J. J. MORGAN, Global existence for semilinear parabolic systems, SIAM J. Math. Anal., 20 (1989), pp. 1128-1144.
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 1128-1144
    • Morgan, J.J.1
  • 23
    • 0000793223 scopus 로고
    • Boundedness and decay results for reaction-diffusion systems
    • J. J. MORGAN, Boundedness and decay results for reaction-diffusion systems, SIAM J. Math. Anal., 21 (1990), pp. 1172-1189.
    • (1990) SIAM J. Math. Anal. , vol.21 , pp. 1172-1189
    • Morgan, J.J.1
  • 25
    • 0010009006 scopus 로고
    • q of solutions of elliptic equations with discontinuous coefficients and satisfying general boundary conditions and conjugacy conditions
    • q of solutions of elliptic equations with discontinuous coefficients and satisfying general boundary conditions and conjugacy conditions, Soviet Math. Dokl., 4 (1963), pp. 321-324.
    • (1963) Soviet Math. Dokl. , vol.4 , pp. 321-324
    • Seftel, Z.1
  • 27
    • 84967800047 scopus 로고
    • Generation of analytic semigroups by strongly elliptic operators
    • H. STEWART, Generation of analytic semigroups by strongly elliptic operators, Trans. Amer. Math. Soc., 199 (1974), pp. 141-162.
    • (1974) Trans. Amer. Math. Soc. , vol.199 , pp. 141-162
    • Stewart, H.1
  • 28
    • 0016939942 scopus 로고
    • Spectral theory of heterogeneous diffusion systems
    • H. STEWART, Spectral theory of heterogeneous diffusion systems, J. Math. Anal. Appl., 54 (1976), pp. 59-78.
    • (1976) J. Math. Anal. Appl. , vol.54 , pp. 59-78
    • Stewart, H.1
  • 29
    • 84967728255 scopus 로고
    • Generation of analytic semigroups by strongly elliptic operators under general boundary conditions
    • H. STEWART, Generation of analytic semigroups by strongly elliptic operators under general boundary conditions, Trans. Amer. Math. Soc., 259 (1980), pp. 299-310.
    • (1980) Trans. Amer. Math. Soc. , vol.259 , pp. 299-310
    • Stewart, H.1


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