Effects of diffusion rates on epidemic spreads in metapopulation networks
Abstract
It is often useful to represent the infectious dynamics of mobile agents by metapopulation models. In such a model, metapopulations form a static network, and individuals migrate from one metapopulation to another. It is known that heterogeneous degree distributions of metapopulation networks decrease the epidemic threshold above which epidemic spreads can occur. We investigate the combined effect of heterogeneous degree distributions and diffusion on epidemics in metapopulation networks. We show that for arbitrary heterogeneous networks, diffusion suppresses epidemics in the sense of an increase in the epidemic threshold. On the other hand, some diffusion rates are needed to elicit epidemic spreads on a global scale. As a result of these opposing effects of diffusion, epidemic spreading near the epidemic threshold is most pronounced at an intermediate diffusion rate. The result that diffusion can suppress epidemics contrasts with that for diffusive SIS dynamics and its variants when individuals are fixed at nodes on static networks.
 Publication:

New Journal of Physics
 Pub Date:
 September 2010
 DOI:
 10.1088/13672630/12/9/093009
 arXiv:
 arXiv:1004.2391
 Bibcode:
 2010NJPh...12i3009M
 Keywords:

 Condensed Matter  Disordered Systems and Neural Networks;
 Physics  Physics and Society
 EPrint:
 4 figures