Mathematics Winter School 

26/02/2021, 16:00 — 17:00 — Online
Henrique Oliveira, Instituto Superior Técnico

Differential equations in Mathematical Epidemiology

We present basic concepts of mathematical epidemiology, that date from Kermack–McKendrick, 1927. The theory was later on developed to study the spread of other infeccious deseases with latency time or in more complex situations. We analyse equilibrium points, and limit cycles in different situations. We make a brief overview of the role of discrete dynamical systems in these theories. The final point of this talk is the discussion of the use of compartimental models with ordinary differential equations, both autonomous and nonautonomous, to forecast and analyse the situation of COVID-19 in Portugal.