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Biological models with seasonality
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Resumo(s)
Seasonally 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.
Descrição
Tese de Mestrado, Matemática, 2024, Universidade de Lisboa, Faculdade de Ciências
Palavras-chave
Modelos epidemiológicos Sazonalidade SIR Sistemas não-autónomos Teses de mestrado - 2024