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Volumn 206, Issue 2, 2007, Pages 233-248

A mathematical model for indirectly transmitted diseases

Author keywords

Global existence; Hantavirus; Indirectly transmitted disease; Invasion and persistence; Reaction diffusion systems

Indexed keywords

CONTAMINATION; DIFFERENTIAL EQUATIONS; DIFFUSION; MATHEMATICAL MODELS; MICROORGANISMS; VIRUSES;

EID: 33947703198     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mbs.2005.07.005     Document Type: Article
Times cited : (21)

References (42)
  • 3
    • 0013331842 scopus 로고    scopus 로고
    • A mathematical analysis of a predator-prey system in a highly heterogeneous environment
    • Ainseba B., Heiser F., and Langlais M. A mathematical analysis of a predator-prey system in a highly heterogeneous environment. Diff. Integ. Equat. 15 4 (2002) 385
    • (2002) Diff. Integ. Equat. , vol.15 , Issue.4 , pp. 385
    • Ainseba, B.1    Heiser, F.2    Langlais, M.3
  • 5
    • 0034703642 scopus 로고    scopus 로고
    • Dynamics of feline virus with two transmission modes within exponentially growing host populations
    • Berthier K., Langlais M., Auger P., and Pontier D. Dynamics of feline virus with two transmission modes within exponentially growing host populations. Proc. Roy. Soc. Lond. B 267 (2000) 2049
    • (2000) Proc. Roy. Soc. Lond. , vol.B 267 , pp. 2049
    • Berthier, K.1    Langlais, M.2    Auger, P.3    Pontier, D.4
  • 7
    • 0009967980 scopus 로고
    • Vertically transmitted diseases
    • Springer, New York
    • Busenberg S., and Cooke K.C. Vertically transmitted diseases. Biomathematics vol. 23 (1993), Springer, New York
    • (1993) Biomathematics , vol.23
    • Busenberg, S.1    Cooke, K.C.2
  • 10
    • 33947702240 scopus 로고
    • Solutions to nerve axon equations
    • Evans J., and Shenk N. Solutions to nerve axon equations. Biophys. J. 10 (1970) 1091
    • (1970) Biophys. J. , vol.10 , pp. 1091
    • Evans, J.1    Shenk, N.2
  • 11
    • 0036347980 scopus 로고    scopus 로고
    • A mathematical model for the spread of Feline Leukemia Virus (FeLV) through a highly heterogeneous spatial domain
    • Fitzgibbon W.E., Langlais M., and Morgan J.J. A mathematical model for the spread of Feline Leukemia Virus (FeLV) through a highly heterogeneous spatial domain. SIAM J. Math. Anal. 33 (2001) 570
    • (2001) SIAM J. Math. Anal. , vol.33 , pp. 570
    • Fitzgibbon, W.E.1    Langlais, M.2    Morgan, J.J.3
  • 12
    • 4944237014 scopus 로고    scopus 로고
    • A reaction-diffusion system modeling direct and indirect transmission of a disease
    • Fitzgibbon W.E., Langlais M., and Morgan J.J. A reaction-diffusion system modeling direct and indirect transmission of a disease. DCDS B 4 (2004) 893
    • (2004) DCDS B , vol.4 , pp. 893
    • Fitzgibbon, W.E.1    Langlais, M.2    Morgan, J.J.3
  • 13
    • 33645383637 scopus 로고    scopus 로고
    • A reaction-diffusion system on non-coincident domains modeling the circulation of a disease between two host populations
    • Fitzgibbon W.E., Langlais M., and Morgan J.J. A reaction-diffusion system on non-coincident domains modeling the circulation of a disease between two host populations. Diff. Integ. Equat. 17 (2004) 781
    • (2004) Diff. Integ. Equat. , vol.17 , pp. 781
    • Fitzgibbon, W.E.1    Langlais, M.2    Morgan, J.J.3
  • 14
    • 0009970157 scopus 로고
    • Diffractive diffusion systems with locally defined reactions
    • Goldstein G., et al. (Ed), M. Dekker, New York
    • Fitzgibbon W.E., and Morgan J.J. Diffractive diffusion systems with locally defined reactions. In: Goldstein G., et al. (Ed). Evolution Equations (1994), M. Dekker, New York 177
    • (1994) Evolution Equations , pp. 177
    • Fitzgibbon, W.E.1    Morgan, J.J.2
  • 15
    • 33947710171 scopus 로고    scopus 로고
    • W. Horton, Global existence of solutions to reaction-diffusion systems heterogeneous domains, Dissertation, Texas A&M University, 1998.
  • 16
    • 0000998185 scopus 로고
    • Contributions to the mathematical theory of epidemics, Part 1
    • Kermack O., and McKendrick A.G. Contributions to the mathematical theory of epidemics, Part 1. Proc. Roy. Soc. Lond. Ser. A 115 (1927) 700
    • (1927) Proc. Roy. Soc. Lond. Ser. A , vol.115 , pp. 700
    • Kermack, O.1    McKendrick, A.G.2
  • 18
    • 0010008823 scopus 로고
    • On the, classical solvability of diffraction problems for equations of elliptic and parabolic type
    • Ladyzhenskaya O.A., Rivkind V., and Ural'ceva N. On the, classical solvability of diffraction problems for equations of elliptic and parabolic type. Sov. Math. Dok. 5 (1964) 1249
    • (1964) Sov. Math. Dok. , vol.5 , pp. 1249
    • Ladyzhenskaya, O.A.1    Rivkind, V.2    Ural'ceva, N.3
  • 19
    • 33947629887 scopus 로고    scopus 로고
    • O.A. Ladyzhenskaya, V. Solonnikov, N. Ural'ceva, Linear and quasilinear equations of parabolic type, Transl. AMS 23, Providence Rhode Island, 1968.
  • 20
    • 0000247056 scopus 로고
    • Finite dimensional attractors associated with partially dissipative systems
    • Marion M. Finite dimensional attractors associated with partially dissipative systems. SIAM J. Math. Anal. 20 (1989) 815
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 815
    • Marion, M.1
  • 21
    • 0000753609 scopus 로고
    • Global existence for semilinear parabolic systems
    • Morgan J.J. Global existence for semilinear parabolic systems. SIAM J. Math. Anal. 20 (1989) 1128
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 1128
    • Morgan, J.J.1
  • 22
    • 0000793223 scopus 로고
    • Boundedness and decay results for reaction-diffusion systems
    • Morgan J.J. Boundedness and decay results for reaction-diffusion systems. SIAM J. Math. Anal. 21 (1990) 1172
    • (1990) SIAM J. Math. Anal. , vol.21 , pp. 1172
    • Morgan, J.J.1
  • 24
    • 0036714638 scopus 로고    scopus 로고
    • Demographic factors associated with hantavirus infection in bank voles (Clethrionomys glareolus)
    • Olsson G.E., White N., Ahlm C., Elgh F., Verlemyr A.C., and Juto P. Demographic factors associated with hantavirus infection in bank voles (Clethrionomys glareolus). Emerg. Infect. Dis. 8 (2002) 924
    • (2002) Emerg. Infect. Dis. , vol.8 , pp. 924
    • Olsson, G.E.1    White, N.2    Ahlm, C.3    Elgh, F.4    Verlemyr, A.C.5    Juto, P.6
  • 25
    • 0142026245 scopus 로고    scopus 로고
    • West-nile virus infection rates in Culex nigricalpus (Diptera: Culicidae) do not reflect transmission rates in Florida
    • Rutledge C.R., Day J.F., Stark L.M., and Tabachnick W.J. West-nile virus infection rates in Culex nigricalpus (Diptera: Culicidae) do not reflect transmission rates in Florida. J. Med. Entomol. 40 (2003) 253
    • (2003) J. Med. Entomol. , vol.40 , pp. 253
    • Rutledge, C.R.1    Day, J.F.2    Stark, L.M.3    Tabachnick, W.J.4
  • 27
    • 0037284358 scopus 로고    scopus 로고
    • Modelling hantavirus in cyclic bank voles: the role of indirect transmission on virus persistence
    • Sauvage F., Langlais M., Yoccoz N.G., and Pontier D. Modelling hantavirus in cyclic bank voles: the role of indirect transmission on virus persistence. J. Animal Ecol. 72 (2003) 1
    • (2003) J. Animal Ecol. , vol.72 , pp. 1
    • Sauvage, F.1    Langlais, M.2    Yoccoz, N.G.3    Pontier, D.4
  • 28
    • 33947652873 scopus 로고    scopus 로고
    • F. Sauvage, M. Langlais, D. Pontier, Predicting the emergence of human hantavirus disease using a combination of viral dynamics and rodent demographic patterns. Manuscript, 2005.
  • 29
    • 0031113395 scopus 로고    scopus 로고
    • Hantaviruses: a global disease problem
    • Schmaljohn C., and Hjelle B. Hantaviruses: a global disease problem. Emerg. Infect. Dis. 3 2 (1997) 95
    • (1997) Emerg. Infect. Dis. , vol.3 , Issue.2 , pp. 95
    • Schmaljohn, C.1    Hjelle, B.2
  • 30
    • 0028180758 scopus 로고
    • Parasite-mediated competition in deer and moose: How strong is the effect of meningeal worm on moose?
    • Schmitz O.J., and Nudds T.D. Parasite-mediated competition in deer and moose: How strong is the effect of meningeal worm on moose?. Ecol. Appl. 4 (1994) 91
    • (1994) Ecol. Appl. , vol.4 , pp. 91
    • Schmitz, O.J.1    Nudds, T.D.2
  • 31
    • 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. Sov. Math. Dok. 4 (1963) 321
    • (1963) Sov. Math. Dok. , vol.4 , pp. 321
    • Seftel, Z.1
  • 32
    • 0036113913 scopus 로고    scopus 로고
    • Drought-Induced amplification of Saint Louis encephalitis virus, Florida
    • Shaman J., Day J.F., and Stieglitz M. Drought-Induced amplification of Saint Louis encephalitis virus, Florida. Emerg. Infect. Dis. 8 (2002) 575
    • (2002) Emerg. Infect. Dis. , vol.8 , pp. 575
    • Shaman, J.1    Day, J.F.2    Stieglitz, M.3
  • 33
    • 0346174871 scopus 로고    scopus 로고
    • Invasion and the range expansion of species: effects of long-distance dispersal
    • Bullock, Kenwood, and Hails (Eds), Blackwell, Oxford
    • Shigesada N., and Kawasaki K. Invasion and the range expansion of species: effects of long-distance dispersal. In: Bullock, Kenwood, and Hails (Eds). Dispersal Ecology (2002), Blackwell, Oxford 350
    • (2002) Dispersal Ecology , pp. 350
    • Shigesada, N.1    Kawasaki, K.2
  • 36
    • 84967800047 scopus 로고
    • Generation of analytic semigroups by strongly elliptic operators
    • Stewart H. Generation of analytic semigroups by strongly elliptic operators. Trans. AMS (1974) 141
    • (1974) Trans. AMS , pp. 141
    • Stewart, H.1
  • 37
    • 0016939942 scopus 로고
    • Spectral theory of heterogeneous diffusion systems
    • Stewart H. Spectral theory of heterogeneous diffusion systems. J. Math. Anal. Appl. 54 (1976) 59
    • (1976) J. Math. Anal. Appl. , vol.54 , pp. 59
    • Stewart, H.1
  • 38
    • 84967728255 scopus 로고
    • Generation of analytic semigroups by strongly elliptic operators under general boundary conditions
    • Stewart H. Generation of analytic semigroups by strongly elliptic operators under general boundary conditions. Trans. AMS 259 (1980) 299
    • (1980) Trans. AMS , vol.259 , pp. 299
    • Stewart, H.1
  • 39
    • 0036784936 scopus 로고    scopus 로고
    • Mapping disease incidence in suburban areas using remotely sensed data
    • Tran A., Gardon J., Weber S., and Polidori L. Mapping disease incidence in suburban areas using remotely sensed data. Am. J. Epidemiol. 252 (2004) 662
    • (2004) Am. J. Epidemiol. , vol.252 , pp. 662
    • Tran, A.1    Gardon, J.2    Weber, S.3    Polidori, L.4
  • 41
    • 4944242488 scopus 로고    scopus 로고
    • A mathematical model for the propagation of a Hantavirus in structured populations
    • Wolf C. A mathematical model for the propagation of a Hantavirus in structured populations. Discr. Contin. Dyn. Syst. B 4 (2004) 1065
    • (2004) Discr. Contin. Dyn. Syst. B , vol.4 , pp. 1065
    • Wolf, C.1
  • 42
    • 33947632081 scopus 로고    scopus 로고
    • C. Wolf, F. Sauvage, D. Pontier, M. Langlais, A multi-patch model with periodic demography for a bank vole-hantavirus system with variable maturation rate, Manuscript 2005.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.