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Revista de Matemática Teoría y Aplicaciones

Print version ISSN 1409-2433

Abstract

SANCHEZ, Fabio  and  CALVO, Juan G.. Dengue model with early-life stage of vectors and age-structure within host. Rev. Mat [online]. 2020, vol.27, n.1, pp.157-177. ISSN 1409-2433.  http://dx.doi.org/10.15517/rmta.v27i1.39966.

We construct an epidemic model for the transmission of dengue fever with an early-life stage in the vector dynamics and age-structure within hosts. The early-life stage of the vector is modeled via a general function that supports multiple vector densities. The basic reproductive number and vector demographic threshold are computed to study the local and global stability of the infection-free state. A numerical framework is implemented and simulations are performed.

Keywords : dengue fever; epidemic models; mathematical modeling; vectorborne diseases; age-structured model..

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