09/09/2016, 09:40 — 10:20 — Amphitheatre Pa2, Mathematics Building
Sérgio Oliva, IME, Universidade de São Paulo

Human mobility in epidemic models and nonlocal diffusions

Following Brockmann, where human mobility is introduced in a simple SIR model, we get a Reaction Diffusion equation with fractional power diffusion. The first interesting mathematical and epidemiological question is how to characterize the existence of positive equilibrium in these equations. We also present a correlation network between occurrences of reported cases of dengue between cities in the state of Rio de Janeiro, Brazil.