The Dynamics of Discrete Populations and Series of Events

Discrete phenomena are an important aspect of various complex systems, acting both as underlying driving mechanisms and as manifestations of diverse behaviors. However, the characterization of these discrete phenomena requires models that go beyond those featured in existing books. This text shows students how analytical tools are used to develop and solve discrete stochastic models. It also explains how to simulate the models computationally and generate data to compare with measurements. Each chapter includes problem sets and guidance to further reading.

Discrete phenomena are an important aspect of various complex systems, acting both as underlying driving mechanisms and as manifestations of diverse behaviours. However, the characterisation of these discrete phenomena requires models that go beyond those featured in existing books.

Largely concerned with mathematical models used to describe time-varying populations and series of events, The Dynamics of Discrete Populations and Series of Events demonstrates how analytical tools are used to develop, simulate, and solve discrete stochastic models. It provides an understanding of the effect of the competing processes governing the changing number of individuals present in a population, and shows how relatively simple models can be used to generate a wide range of behaviours.