Modelo Huésped-Vector: Análisis de estabilidad y simulaciones

Abstract

In epidemiological mathematics, the SIR model is well known, as well as the diseases that can be simulated with this model. In the present work starting from a SIR model with vital dynamics, a host-vector model is elaborated, where the transmission of the disease is no longer given by interaction of individuals of the same species, but is carried out by interaction of the susceptible individuals with the infected individuals, of both populations. Two host-vector models (MVH) with vital dynamics are also developed, initially maintaining the population constant, then with variable population and death due to disease.

Keywords

• Epidemiology
• SIR model
• host model - vector
• vital dynamics
• Runge – Kutta