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Sánchez, Fabio; Calvo, Juan G.

Dengue model with early-life stage of vectors and age-structure within host. (English) Zbl 1513.93043

Rev. Mat. Teor. Apl. 27, No. 1, 157-177 (2020).
Summary: 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.

Cited in 1 Document

MSC:

93D20 Asymptotic stability in control theory
35Q92 PDEs in connection with biology, chemistry and other natural sciences

Keywords:

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

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