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A model for dengue disease with variable human population

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Abstract.

 A model for the transmission of dengue fever with variable human population size is analyzed. We find three threshold parameters which govern the existence of the endemic proportion equilibrium, the increase of the human population size, and the behaviour of the total number of human infectives. We prove the global asymptotic stability of the equilibrium points using the theory of competitive systems, compound matrices, and the center manifold theorem.

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Authors and Affiliations

  1. Departamento de Matemáticas, Facultad de Ciencias, UNAM, Circuito Exterior, C.U., México, D.F. 04510. e-mail: lesteva@servidor.unam.mx, , , , , , XX

    Lourdes Esteva

  2. Departamento de Matemáticas, CINVESTAV–IPN, A.P. 14–740, México, D.F. 07000. e-mail: cvargas@math.cinvestav.mx, , , , , , XX

    Cristobal Vargas

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  1. Lourdes Esteva
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  2. Cristobal Vargas
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Received: 3 November 1997 / Revised version: 3 July 1998

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Esteva, L., Vargas, C. A model for dengue disease with variable human population. J Math Biol 38, 220–240 (1999). https://doi.org/10.1007/s002850050147

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  • DOI: https://doi.org/10.1007/s002850050147

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