Long-term susceptible fractions in networked epidemic models and their relation to the basic reproduction number.

ABSTRACT: Compartmental epidemic models with dynamics that evolve over a graph network have gained considerable importance in recent years. Fundamental to these models is an important threshold known as the basic reproduction number (BRN) that aims to capture, on average, the tendency of a communicable disease to spread. In this paper, we develop two complementing frameworks that provide insights into the long term evolution of a wide range of compartmental epidemic models, including group and networked processes, exploring the positive feedback that is inherent in such models. Specifically, for the case of a group (resp. networked) process, we show that the proportion of the population that is susceptible to a disease (resp. the susceptible proportion in at least one subgroup) tends to a limit that

SUBMITTER: Khong SZ 

PROVIDER: S-EPMC12583584 | biostudies-literature | 2025 Nov

REPOSITORIES: biostudies-literature