Compartmental Epidemiological Models and Their Associated Incidence Rate

Abstract

Compartmental models in epidemiology are used to construct mathematical models reflecting the dynamic properties of infectious diseases, analyze the dynamic behavior of the model so formed, and perform some simulations. The research results help to predict the growth of infectious diseases, determine the key factors of their spread, and seek the optimum strategies for preventing and controlling their spread. This paper focuses on different compartmental models used in epidemiology. Different disease transmission rates applied to these models are mentioned. Different incident rates bilinear (β SI), saturated (βSI / 1+αl), nonlinear (β SI^ρ), and standard Incidence (β SI / N) have been comparatively studied.