In an important paper, Newman [Phys. Rev. E66, 016128 (2002)] claimed that a general network-based stochastic Susceptible-Infectious-Removed (SIR) epidemic model is isomorphic to a bond percolation model, where the bonds are the edges of the contact network and the bond occupation probability is equal to the marginal probability of transmission from an infected node to a susceptible neighbor. I...

I. Introduction Infections and infectious diseases are a great burden on many societies, including the countries. An epidemic may be described as a sudden outbreak of a disease that infects a substantial portion of the population in a region before it disappears. In the nineteenth century, recurrent waves of cholera killed millions in India. The influenza epidemic of 1918-1919 killed at least 2...

In this paper, a discrete-time SIR epidemic model with nonlinear incidence rate, time delays and impulses is investigated. Sufficient conditions for the existence and uniqueness of periodic solutions are obtained by using contraction theorem and inequality techniques. An example is employed to illustrate our results. Keywords—Discrete-time SIR epidemic model, Time delay, Nonlinear incidence rat...

Introduction: One major problem in analyzing epidemic data is the lack of data and high dependency among the available data, which is due to the fact that the epidemic process is not directly observable. Methods: One method for epidemic data analysis to estimate the desired epidemic parameters, such as disease transmission rate and recovery rate, is data ...

This paper studies algorithmic strategies to effectively reduce the number of infections in susceptible-infected-recovered (SIR) epidemic models. We consider a Markov chain SIR model and its two instantiations deterministic (D-SIR) independent cascade (IC-SIR) model. investigate problem minimizing by restricting contacts under realistic constraints. Under moderate assumptions on reproduction nu...

We prove that, for Poisson transmission and recovery processes, the classic Susceptible → Infected → Recovered (SIR) epidemic model of Kermack and McKendrick provides, for any given time t > 0, a strict lower bound on the expected number of suscpetibles and a strict upper bound on the expected number of recoveries in the general stochastic SIR epidemic. The proof is based on the recent message ...

Analyzing the dynamics of Sars-Cov-2 spread in Lebanese society is what this article mainly aspires and points to, where study was predicated on a compartmental model, namely SIR, widely known model epidemiology. SIR. (Susceptible-Infected-Recovered) materializes basic conceptional structure for theoretically investigating virus its within community, through focusing interaction communication b...

background and aims: the world is threatened by disease outbreak that reaches a public health emergency of international concern, studies to inform public and agencies for effective containment strategy are necessary. several studies provided vital information of the dynamics and control of ebola epidemic outbreak in west africa. methodologies and techniques in those researches have to be revie...