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Volumn 38, Issue 3, 1999, Pages 220-240

A model for dengue disease with variable human population

Author keywords

Competitive systems; Dengue; Global stability; Threshold; Variable population

Indexed keywords

AEDES; ANIMAL; ARTICLE; BIOLOGICAL MODEL; DENGUE; DENGUE VIRUS; DISEASE CARRIER; HUMAN; IMMUNOLOGY; POPULATION DENSITY; URBAN POPULATION;

EID: 0033089022     PISSN: 03036812     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002850050147     Document Type: Article
Times cited : (208)

References (24)
  • 1
    • 0003487525 scopus 로고
    • Technical Advisore Comitee on DHF for the Southeast Asian and Western Pacific Regions, Ginebra: World Health Organization
    • Anon, S.: Guide for Diagnosis, Treatment and Control of Dengue Hemorrhagic Fever. Technical Advisore Comitee on DHF for the Southeast Asian and Western Pacific Regions, Ginebra: World Health Organization 1980
    • (1980) Guide for Diagnosis, Treatment and Control of Dengue Hemorrhagic Fever
    • Anon, S.1
  • 2
    • 0004172035 scopus 로고
    • Continuous and Discrete Dynamics near Manifolds of Equilibria
    • New York, Heidelberg, Berlin: Springer-Verlag
    • Aulbach, B.: Continuous and Discrete Dynamics near Manifolds of Equilibria. Lecture Notes in Mathematics 1058. New York, Heidelberg, Berlin: Springer-Verlag 1984
    • (1984) Lecture Notes in Mathematics 1058
    • Aulbach, B.1
  • 3
    • 0025112636 scopus 로고
    • Analysis of a disease transmission model in a population with varying size
    • Busenberg, S., van den Driessche, P.: Analysis of a disease transmission model in a population with varying size. J. Math. Biol. 28, 257-270 (1990)
    • (1990) J. Math. Biol. , vol.28 , pp. 257-270
    • Busenberg, S.1    Van Den Driessche, P.2
  • 4
    • 0004406297 scopus 로고
    • Modeling Chagas' disease: Variable population size and demographic implications
    • Arino, O. et al (eds). Mathematical population dynamics New York: M. Dekker
    • Busenberg, S. N., Vargas, C.: Modeling Chagas' disease: variable population size and demographic implications. In: Arino, O. et al (eds). Mathematical population dynamics (Lecture notes in pure and applied mathematics, vol. 131, pp. 283-332) New York: M. Dekker 1991
    • (1991) Lecture Notes in Pure and Applied Mathematics , vol.131 , pp. 283-332
    • Busenberg, S.N.1    Vargas, C.2
  • 8
    • 0345596255 scopus 로고    scopus 로고
    • Ph.D. Thesis: Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, D.F., México
    • Esteva, L.: Dinámica de la Enfermedad del Dengue. Ph.D. Thesis: Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, D.F., México, 1997
    • (1997) Dinámica de la Enfermedad del Dengue
    • Esteva, L.1
  • 9
    • 0032526469 scopus 로고    scopus 로고
    • Analysis of a Dengue disease transmission model
    • Esteva, L., Vargas, C.: Analysis of a Dengue disease transmission model. Mathematical Biosci. 150, 131-151 (1998)
    • (1998) Mathematical Biosci. , vol.150 , pp. 131-151
    • Esteva, L.1    Vargas, C.2
  • 10
    • 0000107379 scopus 로고
    • Dengue
    • Monath, T. P. (ed) Florida, USA: CRC Press
    • Gubler, D. J.: Dengue: In: Monath, T. P. (ed) The arbovirus: Epidemiology and Ecology, vol. II, pp 213-261. Florida, USA: CRC Press 1986
    • (1986) The Arbovirus: Epidemiology and Ecology , vol.2 , pp. 213-261
    • Gubler, D.J.1
  • 12
    • 0026564083 scopus 로고
    • The XXth. century dengue pandemic: Need for surveillance and research
    • Halstead, S. B.: The XXth. century dengue pandemic: need for surveillance and research. World Health Statistics Quarterly 45, 292-298 (1992)
    • (1992) World Health Statistics Quarterly , vol.45 , pp. 292-298
    • Halstead, S.B.1
  • 13
    • 0001015290 scopus 로고
    • Systems of differential equations which are competitive or cooperative. IV: Structural stabilities in three-dimensional systems
    • Hirsch, M. W.: Systems of differential equations which are competitive or cooperative. IV: Structural stabilities in three-dimensional systems. SIAM J. Math. Anal. 21, 1225-1234 (1990)
    • (1990) SIAM J. Math. Anal. , vol.21 , pp. 1225-1234
    • Hirsch, M.W.1
  • 14
    • 0002984231 scopus 로고
    • Systems of differential equations that are competitive or cooperative. V. Convergence in 3-dimensional systems
    • Hirsch, M. W.: Systems of differential equations that are competitive or cooperative. V. Convergence in 3-dimensional systems. J. Differential Equations 80, 94-106 (1989)
    • (1989) J. Differential Equations , vol.80 , pp. 94-106
    • Hirsch, M.W.1
  • 15
    • 0028817626 scopus 로고
    • Global Stability for the SEIR Model in Epidemiology
    • Li, Y., Muldowney, J. S.: Global Stability for the SEIR Model in Epidemiology. Mathematical Biosci. 125, 155-164 (1995)
    • (1995) Mathematical Biosci. , vol.125 , pp. 155-164
    • Li, Y.1    Muldowney, J.S.2
  • 16
    • 0026491804 scopus 로고
    • Dynamic models of infectious diseases as regulators of population sizes
    • Mena Lorca, Hethcote, H. W.: Dynamic models of infectious diseases as regulators of population sizes. J. Math. Biol. 30, 693-716 (1992)
    • (1992) J. Math. Biol. , vol.30 , pp. 693-716
    • Mena Lorca1    Hethcote, H.W.2
  • 18
    • 0028355518 scopus 로고
    • Dengue: The risk to developed and developing countries
    • Monath, T. P.: Dengue: The risk to developed and developing countries: Proc. Nat. Acad. Sci. USA 91, 2395-2400 (1994)
    • (1994) Proc. Nat. Acad. Sci. USA , vol.91 , pp. 2395-2400
    • Monath, T.P.1
  • 19
    • 84880990802 scopus 로고
    • Compound matrices and ordinary differential equations
    • Muldowney, J. S.: Compound matrices and ordinary differential equations. Rocky Mountain J. Math. 20, 857-872 (1990)
    • (1990) Rocky Mountain J. Math. , vol.20 , pp. 857-872
    • Muldowney, J.S.1
  • 21
    • 0003270907 scopus 로고
    • Monotone Dynamical Systems. An Introduction to the Theory of Competitive and Cooperative Systems
    • Rhode Island: American Mathematical Society
    • Smith, H. L.: Monotone Dynamical Systems. An Introduction to the Theory of Competitive and Cooperative Systems (Mathematical Surveys and Monographs vol 41) Rhode Island: American Mathematical Society 1995
    • (1995) Mathematical Surveys and Monographs , vol.41
    • Smith, H.L.1
  • 23
    • 0028487170 scopus 로고
    • A model for Chaga's Disease Involving Transmission by Vectors and Blood Transfusion
    • Velasco-Hernández, J. X.: A model for Chaga's Disease Involving Transmission by Vectors and Blood Transfusion. Theoretical Population Biology 46(1), 1-31 (1994)
    • (1994) Theoretical Population Biology , vol.46 , Issue.1 , pp. 1-31
    • Velasco-Hernández, J.X.1
  • 24
    • 0008564787 scopus 로고
    • The urban crisis
    • World Health Organization: The urban crisis. World Health Statistics Quarterly 44, 189-197 (1991)
    • (1991) World Health Statistics Quarterly , vol.44 , pp. 189-197


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.