This study aims to review some applications of SIR model in COVID-19 epidemic situations, and tries simulate the predictions a specific country using R coding. article picks Nigeria as example, applying data from 28 February 31 May simulating infected cases with Coronavirus. Based on literature about usage this epidemic, current trend is focusing optimization parameters algorithm. As consequenc...

Models of bio-mathematics are experimental systems that recreate aspects human tissue function, diseases or virus. In this research, a new operational matrix based on the Laguerre wavelets is introduced for arbitrary-order susceptible-infected-recovered (SIR) epidemic dynamical system childhood diseases. An exact mechanism Riemann–Liouville arbitrary integral operator explained where derivative...

In this paper, a delayed SIR epidemic model with modified saturated incidence rate is proposed. The local stability and the existence of Hopf bifurcation are established. Also some numerical simulations are given to illustrate the theoretical analysis.

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 some explicit models corresponding to fixed values of the parameters, and show that the numerical solution reproduces exactly the analytical solution. We also show that the generalization of the SIR model, including ...

Abstract A common way to model an epidemic — restricted contagion aspects only is a modification of the Kermack-McKendrick SIR Epidemic (SIR model) with differential equations. (Mis-)Information about epidemics may influence behavior people and thus course as well. We have coupled extended COVID-19 pandemic compartment (mis-)information-based attitude population towards countermeasures. The res...

The classical susceptible-infectious-recovered (SIR) model, originated from the seminal papers of Ross [51] and Ross and Hudson [52,53] in 1916-1917 and the fundamental contributions of Kermack and McKendrick [36-38] in 1927-1932, describes the transmission of infectious diseases between susceptible and infective individuals and provides the basic framework for almost all later epidemic models,...

background: in recent years, there has been an increase in the amount and variety of data generated in the field of healthcare, (e.g., data related to the prevalence of contagious diseases in the society). various patterns of individuals’ relationships in the society make the analysis of the network a complex, highly important process in detecting and preventing the incidence of diseases. there...