The discrete update epidemics: demography, vaccination and transmission with a tensorized update approach

An ordinary differential dynamical model is developed to describe the transmission of infectious diseases, considering heterogeneities of region, age, vaccination, and immigration and real-time vaccination simultaneously using a tenderized formulation. Numerical experiments are performed in Xiamen city, China, with the whole population partitioned into 6 regions x 4 age groups x 4 vaccination status groups, showing the numerical stability of the developed model. The heterogeneity consideration makes our model adequate to evaluate specific interventions accurately within specific sub-populations and carry them out.