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The Dynamics of Discrete Populations and Series of Events by Keith Iain Hopcraft Eric Jakeman Kevin D Ridley(pradyutvam2) pdf

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Description

 							
  
  January 17, 2014 by CRC
Press 
  Textbook - 223 Pages - 74 B/W Illustrations 
  ISBN 9781420060676 - CAT# C6067
  Series:
Graduate Student Series in Physics
  
  Features
  
  Provides an introduction to the stochastic
modeling of discrete populations and associated series of events
  Presents a comprehensive analysis of the classic
problem of the evolution of a population subjected to births, deaths, and immigration, and the process of monitoring
such a population, either by counting individuals within the population or individuals that leave the population
 
Considers less familiar population models which have no continuous counterparts and shows how these may exhibit
sub-Poisson traits and odd/even effects in their fluctuations Develops models of populations subject to simultaneous
multiple immigrations and shows how these can be used to produce a model with any desired equilibrium distribution.
Application to the important class of stable distributions is examined in detail
  Shows how discrete series of
events can arise from level crossings of continuous processes, and how the statistics of these events can be
characterized
  Presents methods for numerical simulation of dynamic populations, giving examples of algorithms
that can be used to simulate most of the processes considered in the book
  Includes a bibliography for further
reading as well as problems to encourage hands-on practice with the techniques, further develop ideas from the text, and
derive results from technical literature
  Summary
  
  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. 						

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