We consider a procedure for generating clustered networks previously reported by Newman [Phys. Rev. E 68, 026121 (2003)]. In the same study, clustered networks generated according to the proposed model have been reported to have a lower epidemic threshold under susceptible-infective-recovered-type network epidemic dynamics. By rewiring networks generated by this model, such that the degree dist...

In this paper, we analyze dynamic switching networks where the networks switch arbitrarily among a set of topologies. For this class of dynamic networks, we derive an epidemic threshold considering the SIS epidemic model. First, an epidemic probabilistic model based on assumption of independence between states of nodes is developed. We identify conditions for the epidemic dying out by linearizi...

The paper presents a method for syndromic surveillance of an epidemic outbreak due to an emerging disease, formulated in the context of stochastic nonlinear filtering. The dynamics of the epidemic is modeled using a stochastic compartmental epidemiological model with inhomogeneous mixing. The syndromic (typically non-medical) observations of the number of infected people (e.g. visits to pharmac...

A metapopulation model describing cholera transmission between two communities linked migration was developed and analysed. Disease threshold ratios specific to communities were determined as well as the disease equilibrium points in presence and absence of migration. Sensitivity analysis of the disease thresholds to model parameters was performed using the Latin hypercube sampling scheme to de...

The basic reproductive ratio, R0, is a central quantity in the investigation and management of infectious pathogens. The standard model for describing stochastic epidemics is the continuous time epidemic birth-and-death process. The incidence data used to fit this model tend to be collected in discrete units (days, weeks, etc.), which makes model fitting, and estimation of R0 difficult. Discret...

In this paper, we investigate the epidemic spreading for SIR model in weighted scale-free networks with nonlinear infectivity, where the transmission rate in our analytical model is weighted. Concretely, we introduce the infectivity exponent α and the weight exponent β into the analytical SIR model, then examine the combination effects of α and β on the epidemic threshold and phase transition. ...

An understanding of epidemiological dynamics is important for prevention and control of epidemic outbreaks. However, previous studies tend to focus only on specific areas, indicating that application to another area or intervention strategy requires a similar time-consuming simulation. Here, we study the epidemic dynamics of the disease-spread over a commute network, using the Tokyo metropolita...

Abstract Seasonal variability strongly affects the animal population in wildlife. It becomes essential to model seasonality eco-epidemic dynamics know effect of system parameters a periodic environment. This article presents set non-autonomous differential equations with time-varying disease transmission rates among prey and predators, mortality rate diseased predator, predation healthy prey, a...