A discrete epidemic model for SARS transmission and control in China

Abstract

Severe acute respiratory syndrome (SARS) is a rapidly spreading infectious disease which was transmitted in late 2002 and early 2003 to more than 28 countries through the medium of international travel. The evolution and spread of SARS has resulted in an international effort coordinated by the World Health Organization (WHO).We have formulated a discrete mathematical model to investigate the transmission of SARS and determined the basic reproductive number for this model to use as a threshold to determine the asymptotic behavior of the model. The dependence of the basic reproductive number on epidemic parameters has been studied. The parameters of the model have been estimated on the basis of statistical data and numerical simulations have been carried out to describe the transmission process for SARS in China. The simulation results matches the statistical data well and indicate that early quarantine and a high quarantine rate are crucial to the control of SARS.

Dynamic consistent NSFD scheme for a viral infection model with cellular infection and general nonlinear incidence

“…It is worth noticing that discrete epidemic models have also been paid much attention by many researchers (see [24][25][26] and references therein). On one hand, discrete epidemic models have advantages in describing an infectious disease in comparison with continuous models since epidemic data are often collected at discrete times (such as daily, monthly, yearly, etc.).…”

Global stability for a class of discrete SIR epidemic models

“…Various mathematical models have been proposed in the literature of population dynamics, ecology and epidemiology. Many authors have studied the epidemic models, which displays the dynamical behavior of the transmission of infectious diseases (see also [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] and the references therein).…”

Stability preserving NSFD scheme for a multi-group SVIR epidemic model

“…For example, Zhou et al . proposed a discrete mathematical model to investigate the transmission of severe acute respiratory syndrome, and their simulation results match the statistical data well.…”