Mathematical modeling and its effect on disease recognition and control

Document Type : Collected Paper

Author

Marzie Zaj

Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, IRAN

10.22067/tmsj.2023.84587.1051

Abstract

Diseases are complex phenomena that are influenced by many factors. Mathematical modeling is a powerful tool for studying these factors and their effects on the disease process. Modeling helps us understand diseases better and find more effective ways to control them. Mathematical models of diseases are usually based on mathematical equations that describe the behavior of the population of people with the disease over time. These models can be used to predict the course of the disease, evaluate the effectiveness of treatment methods, and investigate the effect of various factors on the disease. One ofthe simplest mathematical models of diseases is the SIR model. This model haswide applications in the study of infectious diseases and is used to predict thecourse of epidemics, evaluate the effectiveness of vaccination, and investigate theeffect of various factors such as human behavior on the course of the disease.

Keywords

mathematical modeling

infectious disease

compartmental model

epidemic

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