Section: New Results
Ananlysis of Dengue Fever SIR Model with time-varying parameters
Participants : Stefanella Boatto [Univ Feder Rio de Janeiro] , Catherine Bonnet, Frédéric Mazenc.
Dengue fever is an infectious viral disease occuring in humans that is prevalent in parts of Central and South America, Africa, India and South-east Asia and which causes 390 millions of infections worldwilde. We have considered here a SIR model of Dengue fever with a periodically time-dependent infection rate. Such a model has been considered by other authors before but we focused here on different aspects such as the existence of a periodic stable orbit and the importance of the phase of the infection rates.