Abstract In epidemiology, the effective reproduction number $R_{e}$ R e is used to characterize growth rate of an epidemic outbreak. If $R_{e} >1$ > 1 , worsens, and if $R_{e}< 1$ < then it subsides eventual...

This paper studies the mechanism of transmission Tuberculosis (TB) caused by mycobacterium tuberculosis bacteria. TB is an airborne disease that endangering human population globally. Mathematical modelling was developed using Susceptible-Infected-Recovered (SIR) model in this analysis. The generated four-dimensional, nonlinear dynamic system reduced to three dimensions, with some assumptions. ...

Timely prediction of the COVID-19 progression is not possible without a comprehensive understanding environmental factors that may affect infection transmissibility. Studies addressing parameters influence relied on either total numbers detected cases and similar proxies and/or small number analyzed factors, including analysis regions display narrow range these parameters. We here apply novel a...

As the interactions between people increases, impending menace of COVID-19 outbreaks materializes, and there is an inclination to apply lockdowns. In this context, it essential have easy-to-use indicators for employ as a reference. The effective reproduction number confirmed positives, R t , fulfills such role. This document proposes data-driven approach nowcast based on previous observations’ ...

An SEI autonomous model with logistic growth rate and its corresponding nonautonomous model are investigated. For the autonomous case, we give the attractive regions of equilibria and perform some numerical simulations. Basic demographic reproduction number R d is obtained. Moreover, only the basic reproduction number R 0 cannot ensure the existence of the positive equilibrium, which needs addi...