Μαθηματικά μοντέλα περιγραφής της εξέλιξης επιδημιών
Mathematical methods for epidemic description
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Keywords
Μαθηματικά μοντέλα ; Επιδημίες ; Lotka-Volterra ; COVID-19 ; SIR ; ΕμβολιασμόςAbstract
Mathematical models describing the evolution of an epidemic have played an important role in informing decision-making centers as well as in launching measures to limit their spread. Given the exorbitant costs incurred by the state in order to manage the epidemic, the use of appropriate models can save huge amounts of money. Due to the recent epidemic crisis of Covid19, a worldwide necessity has become apparent for the development of new models or the re-evaluation/optimization of the existing ones. Epidemiological models fall into two broad categories. The first category includes statistical models, which are based to a large extent on data. The second category includes the mechanistic/mathematical models based on hypotheses/theories/conditions related to the way the disease spreads and lead to the final configuration of the model. In the current work, after summarizing the economic and social impacts of recent epidemics, an extensive review and comparison of various mathematical models describing the evolution of an epidemic will be conducted. Finally, these models will be applied to real data of the recent coronavirus crisis concerning the Greek as well as the international area.