Ponentes
Descripción
The study of infectious diseases through mathematical models makes it possible to analyze their dynamics, their impact over time and provide valuable information for decision taking, with the purpose of eradicating them. The objective of this paper is first to present an epidemic model SI (susceptible-infected) by means of a reaction-diffusion system, in this case, in the dynamics of the disease is taken into consideration, its temporal and spatial behavior, with cross diffusivity in the susceptible. Further, it is analyzed under certain conditions of the model parameters, how the spread of the epidemic can give rise to the presence of Turing patterns (spatial patterns of risk or incidence of the disease), and the existence of a Hopf bifurcation. Finally, numerical results are shown that validate the formation of patterns in epidemic models that allow to better explain the spread of the disease by study areas and population subgroups.
