The basic reproduction number R 0 is an important indicator of the severity for an epidemic
outbreak, but it may not be obtained easily for heterogeneous populations especially with …

The scale-free degree distribution and community structure are two significant properties
shared by numerous complex networks. In this paper, we investigate the impact of these …

Random scale-free networks have the peculiar property of being prone to the spreading of
infections. Here we provide for the susceptible-infected-susceptible model an exact result …

Networks that grow through the addition of new nodes or edges may acquire degree-degree
correlations. When one considers a short epidemic on a slowly growing network, such as the …

We study the phase transition from the persistence phase to the extinction phase for the
SIRS (susceptible/infected/refractory/susceptible) model of diseases spreading on the …

Disease and information spread over social and information networks. Understanding the
spread phenomena in networks requires paying attention not only to the degree distribution …

≡ 0, t 李 0 is employed to derive the classical final size relation. Lemma 1 in main text shows
that if the population size is sufficiently large and the population is homogeneous mixing, the …

The initial growth behavior of the scalar susceptible-infected-recovered (SIR) epidemic
model is fully determined by the basic reproduction number. However, increasing …

The study of epidemics on social networks has attracted considerable attention recently. In
this paper, we consider a stochastic SIR (susceptible→ infective→ removed) model for the …

We investigate the combinational effects of non-uniform transmission of edges and the
network structure in susceptible-infected-removed models of the epidemic spreading. Here …