The Dynamics of Discrete Populations and Series of Events

Author:   Keith Iain Hopcraft ,  Eric Jakeman ,  Kevin D. Ridley
Publisher:   Taylor & Francis Ltd
ISBN:  

9780367378950


Pages:   223
Publication Date:   05 September 2019
Format:   Paperback
Availability:   In Print   Availability explained
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The Dynamics of Discrete Populations and Series of Events


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Overview

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.

Full Product Details

Author:   Keith Iain Hopcraft ,  Eric Jakeman ,  Kevin D. Ridley
Publisher:   Taylor & Francis Ltd
Imprint:   CRC Press
Weight:   0.340kg
ISBN:  

9780367378950


ISBN 10:   0367378957
Pages:   223
Publication Date:   05 September 2019
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Introduction. Statistical Preliminaries. Markovian Population Processes. The Birth–Death–Immigration Process. Population Processes Exhibiting Sub-Poisson Fluctuations and Odd–Even Effects. The Death–Multiple Immigration Process. Stable Processes and Series of Events. Coupled Processes. Doubly Stochastic Processes. Level Crossings of a Continuous Process. Simulation Techniques.

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Hopcraft, Keith Iain; Jakeman, Eric; Ridley, Kevin D.

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