Modelling and Analysis of Spread Characteristics of Arbovirus Infections

The problem of the definition of a mathematical model for epidemics, where the virus transmission is op erated by an infected vector like an insect, is addressed. Through the consideration of a small number of compartments, in order to keep the mathematical analysis affordable, a five dimensional model is proposed and, successively, used for the analysis of the main characteristics of the disease. Closed form expression are then obtained for the equilibria, the stabiliy conditions and the reproduction number. Some numerical results referring to the dengue disease emergency are also presented, firstly to identify the unknown model parameters and then to validate the effectiveness of the model itself. Using such a model, some considerations on the most effective action lines for spidemic containment are discussed.