Transmission dynamics of an SIS model with age structure on heterogeneous networks

TL;DR

This paper models SIS epidemic dynamics on heterogeneous networks incorporating age-dependent infection and recovery rates, analyzing thresholds, stability, and effects of network structure and age factors through theoretical and numerical methods.

Contribution

It introduces an SIS model with age-dependent transmission on heterogeneous networks, analyzing threshold conditions and global dynamics, which advances understanding of age-structured epidemic spread.

Findings

Threshold conditions for disease persistence and eradication.

Global stability of disease-free and endemic states.

Numerical simulations illustrating the impact of age and network heterogeneity.

Abstract

Age at infection is often an important factor in epidemic dynamics. In this paper a disease transmission model of SIS type with age dependent infection on a heterogeneous network is discussed. The model allows the infectious rate and the recovery rate to vary and depend on the age of the infected individual at the time of infection. We address the threshold property of the basic reproduction number and present the global dynamical properties of the disease-free and endemic equilibria in the model. Finally, some numerical simulations are carried out to illustrate the main results. The combined effects of the network structure and the age dependent factor on the disease dynamics are displayed.