Host population thresholds for the invasion or persistence of infectious disease are core
concepts of disease ecology and underlie disease control policies based on culling and …

For epidemiologists, evolutionary biologists, and health-care professionals, real-time and
predictive modeling of infectious disease is of growing importance. This book provides a …

In the late stages of an epidemic, infections are often sporadic and geographically
distributed. Spatially structured stochastic models can capture these important features of …

This paper is a survey paper on stochastic epidemic models. A simple stochastic epidemic
model is defined and exact and asymptotic (relying on a large community) properties are …

Most mathematical models used to study the epidemiology of childhood viral diseases, such
as measles, describe the period of infectiousness by an exponential distribution. The effects …

During an infectious disease outbreak, biases in the data and complexities of the underlying
dynamics pose significant challenges in mathematically modelling the outbreak and …

Most mathematical models used to understand the dynamical patterns seen in the incidence
of childhood viral diseases, such as measles, employ a simple, but epidemiologically …

Stochastic models are established and studied for several endemic infections with
demography. Approximations of quasi-stationary distributions and of times to extinction are …

Ever since the pattern of localized extinction associated with measles was discovered by
Bartlett in 1957, many models have been developed in an attempt to reproduce this …

We study vaccine control for disease spread on an adaptive network modeling disease
avoidance behavior. Control is implemented by adding Poisson-distributed vaccination of …