Noise permeates biology on all levels, from the most basic molecular, sub-cellular
processes to the dynamics of tissues, organs, organisms and populations. The functional …

Theoretical ecologists have long sought to understand how the persistence of populations
depends on biotic and abiotic factors. Classical work showed that demographic stochasticity …

Aimed at graduate students, this book explores some of the core phenomena in non-
equilibrium statistical physics. It focuses on the development and application of theoretical …

Stochasticity can play an important role in the dynamics of biologically relevant populations.
These span a broad range of scales: from intra-cellular populations of molecules to …

A model for epidemics on an adaptive network is considered. Nodes follow a susceptible-
infective-recovered-susceptible pattern. Connections are rewired to break links from …

We investigate the phenomenon of extinction of a long-lived self-regulating stochastic
population, caused by intrinsic (demographic) noise. Extinction typically occurs via one of …

This review provides a pedagogic and self-contained introduction to master equations and
to their representation by path integrals. Since the 1930s, master equations have served as …

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

Noise caused by fluctuations at the molecular level is a fundamental part of intracellular
processes. While the response of biological systems to noise has been studied extensively …

Environmental noise can cause an exponential reduction in the mean time to extinction
(MTE) of an isolated population. We study this effect on an example of a stochastic birth …