Eur. Phys. J. B 75, 319-326 (2010)
https://doi.org/10.1140/epjb/e2010-00090-9

Epidemic prevalence on random mobile dynamical networks: individual heterogeneity and correlation

¹ Department of Electronic Engineering, Fudan University, 200433, Shanghai, P.R. China
² Department of Mathematical Engineering and Information Physics, University of Tokyo, 153-8505, Tokyo, Japan
³ Department of Automation, Shanghai Jiao Tong University, 200240, Shanghai, P.R. China

Corresponding authors: ^a lix@fudan.edu.cn - ^b fandyclang@sat.t.u-tokyo.ac.jp

Received: 29 September 2009
Published online: 18 March 2010

Abstract

In this paper, we extend the susceptible-infected-susceptible (SIS) epidemiological model on a random dynamical network composed of mobile individuals, in which the infection is caused by the collisions between susceptible and infected individuals at the spreading rate proportional to their susceptibilities and infectivities. We analytically study the criticality of spreading dynamics under different distributions of individual susceptibility and infectivity, and numerically verify the cases of power-law and (or) Gaussian distributions. Our findings show that the heterogeneity of individual susceptibility and infectivity increases the epidemic threshold, and the positive correlation of individual susceptibility and infectivity avails to the epidemic prevalence.