Modeling seasonal measles transmission in China

作者:Bai, Zhenguo*; Liu, Dan
来源:Communications in Nonlinear Science & Numerical Simulation, 2015, 25(1-3): 19-26.
DOI:10.1016/j.cnsns.2014.09.030

摘要

A discrete-time deterministic measles model with periodic transmission rate is formulated and studied. The basic reproduction number R-0 is defined and used as the threshold parameter in determining the dynamics of the model. It is shown that the disease will die out if R-0 < 1, and the disease will persist in the population if R-0 > 1. Parameters in the model are estimated on the basis of demographic and epidemiological data. Numerical simulations are presented to describe the seasonal fluctuation of measles infection in China.