A Modelling of Emerging and Re-Emerging Infectious Diseases

Bruce Masonova SOLOZAFY BEMENA, Andre TOTOHASINA, Daniel Rajaonasy FENO

Abstract: In the field of epidemiology, the Susceptible, Exposed, Infected (SEI) model was developed with the aim of understanding the type of diseases that have a character of the individual infected, remains and remains contagious until the end of his/her life. But the phenomenon generated by global warming has changed the behavior of our biodiversity and ecology of the transmission of infectious agents. This causes the adaptation of the current existing model facing new behavior of infectious diseases. In this paper, we propose a new model adapted to the situation we are currently experiencing.

Keywords: Epidemic modeling, compartmental models, global warming, microorganisms, emerging and re-emerging infectious diseases, new dynamic process of infection, Simulation, equilibrium point, basic reproduction number, stability, Lyapunov function