It is a fundamental challenge to understand how the function of a network is related to its
structural organization. Adaptive dynamical networks represent a broad class of systems that …

We review behavioural change models (BCMs) for infectious disease transmission in
humans. Following the Cochrane collaboration guidelines and the PRISMA statement, our …

Over the past decade, the use of networks has led to a new modelling paradigm combining
several branches of science, including physics, mathematics, biology and social sciences …

In the process of rumor spreading, controlling and killing rumor problem is of great
importance on social networks. In this paper, we present a new SEIR (susceptible-exposed …

Moment-closure approximations are an important tool in the analysis of the dynamics on
both static and adaptive networks. Here, we provide a broad survey over different …

In this paper we study the dynamics of epidemic processes taking place in adaptive
networks of arbitrary topology. We focus our study on the adaptive susceptible-infected …

Higher-order interactions play an important role in complex contagion processes. Mean-field
approximations have been used to characterize the onset of spreading in the presence of …

In this work, we introduce the basic reproduction number R 0 for a general epidemic model
with graded cure, relapse and nonlinear incidence rate in a non-constant population size …

People change their physical contacts as a preventive response to infectious disease
propagations. Yet, only a few mathematical models consider the coupled dynamics of the …

In the face of serious infectious diseases, governments endeavour to implement
containment measures such as public vaccination at a macroscopic level. Meanwhile …