The SARS-CoV-2 is a type of coronavirus that has caused the pandemic known as the
Coronavirus Disease of 2019, or COVID-19. In traditional epidemiological models such as …

In this paper, the exact analytical solution of the Susceptible-Infected-Recovered (SIR)
epidemic model is obtained in a parametric form. By using the exact solution we investigate …

We revisit the susceptible-infectious-recovered/removed (SIR) model which is one of the
simplest compartmental models. Many epidemological models are derivatives of this basic …

We present in this paper an SIRS epidemic model with saturated incidence rate and disease-
inflicted mortality. The Global stability of the endemic equilibrium state is proved by …

We study fast–slow versions of the SIR, SIRS, and SIRWS epidemiological models. The
multiple time scale behaviour is introduced to account for large differences between some of …

Substance abuse is considered to be predominantly a problem for all in society, and much
substance abuse research is done with a male majority. Recent drug addiction studies …

In this paper, stochastic effect on the spread of the infectious disease with saturated
incidence rate and the special transfer from infectious is discussed. The threshold dynamics …

We propose a system theoretic approach to select and stabilize the endemic equilibrium of
an SIRS epidemic model in which the decisions of a population of strategically interacting …

In this survey, we propose an overview on Lyapunov functions for a variety of compartmental
models in epidemiology. We exhibit the most widely employed functions, and provide a …

Mathematical epidemiology has a long history of origin and development. In particular,
mathematical modeling and analysis of infectious diseases has become a fundamental and …