Dynamical analysis of an immumo-epidemiological coupled system on complex networks

Multi-scale models provide a new insight into the interplays of the kinetics of within hosts and the transmission of between hosts. In this paper, we adopt the nested approach to get a linkage between the within-and between-host systems, and then propose a mean-field communicable disease model on complex networks. Then, we rigorously study the existence of the solution of the multi-scale epidemic model on complex networks and completely establish the stability of each feasible equilibrium of the within-and between-host subsystems. Numerical simulations suggest that the basic reproduction number of the between-host system RB0 is an increasing function of the basic reproduction number of the within-host system RT0 and the final epidemic size is an increasing function of RB0. Finally, we find that the topological structures of networks play a significant role in the transmission patterns of an infection.(c) 2023 Elsevier B.V. All rights reserved.