Unit:
Κατεύθυνση Εφαρμοσμένα ΜαθηματικάLibrary of the School of Science
Supervisors info:
Ιωάννης Γ. Στρατής, Καθηγητής, Μαθηματικών, ΕΚΠΑ
Original Title:
Dynamics of Structured Equations of Infectious Diseases
Translated title:
Dynamics of structured equations of infectious diseases
Summary:
From the smallpox model of Daniel Bernoulli in 1760 to recent COVID-19 pandemic, Mathematics have been used in population biology to explain and predict the infectious diseases outbreaks. With infectious diseases being a leading cause of death worldwide, particularly in low income countries, especially in young children, the study of population models and especially, structured population models in Epidemiology remains an urgent need. Structured equations distinguish individuals from one another according to characteristics such as age, location, status, and movement.
This M.Sc. Thesis is an introduction to the Mathematical Models of Epidemiology. The central theme is the study of various epidemiological models, based on which an infectious disease can develop and spread in a closed population. So, we will present and analyze such models of ordinary differential equations and structured epidemiological models of partial differential equations to explain how these characteristics affect the dynamics of the models and consequently the epidemiological processes.
Main subject category:
Science
Keywords:
Infectious diseases, SIR models, SIS models, age-structured models, Kermack-McKendrick model, basic reproduction number
