Gonçalves, Maria Carlota da Rocha Xavier RebeloRibeiro, João Pedro Gomes2024-11-252024-11-2520242024http://hdl.handle.net/10400.5/95628Tese de Mestrado, Matemática, 2024, Universidade de Lisboa, Faculdade de CiênciasSeasonally forced biological models play a crucial role in epidemiology, particularly in determining the ability of an infectious disease to invade and persist in a population. Central to this analysis is the basic reproduction number, popularly denoted by R0 - the average number of new infections produced by an infected individual, during the infection period and in a completely susceptible population. Its definition has been precisely established for a large class of compartmental epidemic models in periodic environments and it is well-known that it is a threshold from the stability of these systems. This dissertation aims to study the dynamics of a seasonally forced SIR model with an emphasis on the existence and stability of endemic periodic solutions, following the work [14] by Ruiz-Herrera.engModelos epidemiológicosSazonalidadeSIRSistemas não-autónomosTeses de mestrado - 2024master thesis203741536