TY - JOUR
T1 - Effects of City-Size Heterogeneity on Epidemic Spreading in a Metapopulation
T2 - A Reaction-Diffusion Approach
AU - Lund, Halvor
AU - Lizana, George Ludvig
AU - Simonsen, Ingve
PY - 2013/4/1
Y1 - 2013/4/1
N2 - We review and introduce a generalized reaction-diffusion approach to epidemic spreading in a metapopulation modeled as a complex network. The metapopulation consists of susceptible and infected individuals that are grouped in subpopulations symbolizing cities and villages that are coupled by human travel in a transportation network. By analytic methods and numerical simulations we calculate the fraction of infected people in the metapopulation in the long time limit, as well as the relevant parameters characterizing the epidemic threshold that separates an epidemic from a non-epidemic phase. Within this model, we investigate the effect of a heterogeneous network topology and a heterogeneous subpopulation size distribution. Such a system is suited for epidemic modeling where small villages and big cities exist simultaneously in the metapopulation. We find that the heterogeneous conditions cause the epidemic threshold to be a non-trivial function of the reaction rates (local parameters), the network's topology (global parameters) and the cross-over population size that separates "village dynamics" from "city dynamics".
AB - We review and introduce a generalized reaction-diffusion approach to epidemic spreading in a metapopulation modeled as a complex network. The metapopulation consists of susceptible and infected individuals that are grouped in subpopulations symbolizing cities and villages that are coupled by human travel in a transportation network. By analytic methods and numerical simulations we calculate the fraction of infected people in the metapopulation in the long time limit, as well as the relevant parameters characterizing the epidemic threshold that separates an epidemic from a non-epidemic phase. Within this model, we investigate the effect of a heterogeneous network topology and a heterogeneous subpopulation size distribution. Such a system is suited for epidemic modeling where small villages and big cities exist simultaneously in the metapopulation. We find that the heterogeneous conditions cause the epidemic threshold to be a non-trivial function of the reaction rates (local parameters), the network's topology (global parameters) and the cross-over population size that separates "village dynamics" from "city dynamics".
U2 - 10.1007/s10955-013-0690-3
DO - 10.1007/s10955-013-0690-3
M3 - Journal article
SN - 0022-4715
VL - 151
SP - 367
EP - 382
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
IS - 2
ER -
