Analysis of an SEIR-SEI four-strain epidemic dengue model with primary and secondary infections

Raúl Isea (1)

1 IDEA - Fundación Instituto de Estudios Avanzados

We propose an SEIR model for the populations and an SEI model for the vector to describe the transmission dynamics of a four-strain model with both primary and secondary dengue infections. In order to accomplish this, we propose and obtain an analytic solution of a system of 47 coupled differential equations. This would be the most complete epidemic model proposed to describe the dengue epidemic.

Mots clés: Dengue; SEIR; SEI; epidemic model

Domaines: Mathématiques [math]; Sciences du Vivant [q-bio]

Raúl Isea. Analysis of an SEIR-SEI four-strain epidemic dengue model with primary and secondary infections. Conocimiento Libre y Licenciamiento (CLIC ), 2014. ⟨hal-03521070⟩