The Role of Network Topology on the Initial Growth Rate of Influenza Epidemic
We use networks, powerful abstract representations of systems of interacting elements, to represent multiple interacting populations and explore the effects of the topologies on the initial growth rate of influenza epidemics. Graph theory applied to epidemiological models may yield insight into the nature of disease dynamics and provide important complementary perspective on understanding these models. We analyze the basic SIR model on three general networks: ring, square lattice, small world networks. We explore the evolution of the dominant eigenvalues as the network size increases for two different cases, when the total population remains constant and when the total population increases as the network size increases. The analysis is carried out via numerical simulations as well as through the mathematical analysis of simple cases.
Shilpa Khatri, New York University
Rosalyn Rael, University of Arizona
J. Hyman, Los Alamos National Laboratory