Managing spatio-temporal heterogeneity of susceptibles by embedding it into an homogeneous model: A mechanistic and deep learning study
Fig 2
Schematic diagram illustrating the recruitment process of susceptible individuals.
Within the epicentre, the classic SIR compartment model remains applicable for describing the transmission of the pathogen. The crucial aspect lies in incorporating the recruitment process of the susceptible population into the classic SIR compartment model, recognizing the spatio-temporal heterogeneity of the susceptibles. We term the susceptible individuals in the epicentre as the effective susceptible population, denoted by Se, and those in RoEC are referred to as the reserved susceptible population, denoted by Sr. Considering the continuous spatial spread of infections, the epicentre is expanded to encompass more susceptibles. As a result, the susceptible population in class Sr will transition into the newly added epicentre and become Se. Letting f(t) represent the transition rate from Sr(t) to Se(t), we establish the following generalized modelling framework in terms of the transition process of susceptibles.