(Nazarbayev University School of Science and Technology, 2016-05) Baki, Zhuldyzay
In this report we present an SEIS model for infectious diseases with
latent period and no immune response for spatially heterogeneous environment. Spatial heterogeneity is designed by several metapopulations. It was shown that global dynamics of an epidemics completely
depends on basic reproduction number R0. By fxing the number of
patches to two, we use next generation matrix method to obtain basic
reproduction number and make further analysis on it. Migration rates
of individuals are considered as one of the main factors that influence R0. Moreover, some numerical simulations for the dynamics of the system with different initial conditions is presented.