Stochastic Population Processes PDF Download
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Author: Eric Renshaw
Publisher: Oxford University Press
ISBN: 0198739060
Category : Mathematics
Languages : en
Pages : 665
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Book Description
A reference text presenting stochastic processes and a range of approximation and simulation techniques for extracting behavioural information in the context of stochastic population dynamics.
Author: Eric Renshaw
Publisher: Oxford University Press
ISBN: 0198739060
Category : Mathematics
Languages : en
Pages : 665
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Book Description
A reference text presenting stochastic processes and a range of approximation and simulation techniques for extracting behavioural information in the context of stochastic population dynamics.
Author: Thomas G. Kurtz
Publisher: SIAM
ISBN: 9781611970333
Category : Mathematics
Languages : en
Pages : 83
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Book Description
Population processes are stochastic models for systems involving a number of similar particles. Examples include models for chemical reactions and for epidemics. The model may involve a finite number of attributes, or even a continuum. This monograph considers approximations that are possible when the number of particles is large. The models considered will involve a finite number of different types of particles.
Author: Thomas G. Kurtz
Publisher: SIAM
ISBN: 089871169X
Category : Mathematics
Languages : en
Pages : 76
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Book Description
This monograph considers approximations that are possible when the number of particles in population processes is large
Author: Linda J. S. Allen
Publisher: Springer
ISBN: 331921554X
Category : Mathematics
Languages : en
Pages : 55
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Book Description
This monograph provides a summary of the basic theory of branching processes for single-type and multi-type processes. Classic examples of population and epidemic models illustrate the probability of population or epidemic extinction obtained from the theory of branching processes. The first chapter develops the branching process theory, while in the second chapter two applications to population and epidemic processes of single-type branching process theory are explored. The last two chapters present multi-type branching process applications to epidemic models, and then continuous-time and continuous-state branching processes with applications. In addition, several MATLAB programs for simulating stochastic sample paths are provided in an Appendix. These notes originated as part of a lecture series on Stochastics in Biological Systems at the Mathematical Biosciences Institute in Ohio, USA. Professor Linda Allen is a Paul Whitfield Horn Professor of Mathematics in the Department of Mathematics and Statistics at Texas Tech University, USA.
Author: Eric Renshaw
Publisher: OUP Oxford
ISBN: 0191060399
Category : Mathematics
Languages : en
Pages : 664
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Book Description
The vast majority of random processes in the real world have no memory - the next step in their development depends purely on their current state. Stochastic realizations are therefore defined purely in terms of successive event-time pairs, and such systems are easy to simulate irrespective of their degree of complexity. However, whilst the associated probability equations are straightforward to write down, their solution usually requires the use of approximation and perturbation
Author: Stanford University. Applied Mathematics and Statistics Laboratory
Publisher:
ISBN:
Category :
Languages : en
Pages : 53
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Book Description
Contents: Point processes Counting processes Generating functionals Stochastic population processes Sigma-finite population processes Cluster process Markov population processes Multiplicative population processes.
Author: James H. Matis
Publisher: Springer Science & Business Media
ISBN: 1461212448
Category : Mathematics
Languages : en
Pages : 215
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Book Description
The book focuses on stochastic modeling of population processes. The book presents new symbolic mathematical software to develop practical methodological tools for stochastic population modeling. The book assumes calculus and some knowledge of mathematical modeling, including the use of differential equations and matrix algebra.
Author: Russell Lande
Publisher: OUP Oxford
ISBN: 9780198525257
Category : Mathematics
Languages : en
Pages : 698
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Book Description
1. Demographic and environmental stochasticity -- 2. Extinction dynamics -- 3. Age structure -- 4. Spatial structure -- 5. Population viability analysis -- 6. Sustainable harvesting -- 7. Species diversity -- 8. Community dynamics.
Author: Sylvie Meleard
Publisher: Springer
ISBN: 3319217119
Category : Mathematics
Languages : en
Pages : 111
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Book Description
In this contribution, several probabilistic tools to study population dynamics are developed. The focus is on scaling limits of qualitatively different stochastic individual based models and the long time behavior of some classes of limiting processes. Structured population dynamics are modeled by measure-valued processes describing the individual behaviors and taking into account the demographic and mutational parameters, and possible interactions between individuals. Many quantitative parameters appear in these models and several relevant normalizations are considered, leading to infinite-dimensional deterministic or stochastic large-population approximations. Biologically relevant questions are considered, such as extinction criteria, the effect of large birth events, the impact of environmental catastrophes, the mutation-selection trade-off, recovery criteria in parasite infections, genealogical properties of a sample of individuals. These notes originated from a lecture series on Structured Population Dynamics at Ecole polytechnique (France). Vincent Bansaye and Sylvie Méléard are Professors at Ecole Polytechnique (France). They are a specialists of branching processes and random particle systems in biology. Most of their research concerns the applications of probability to biodiversity, ecology and evolution.
Author: C.J. Mode
Publisher: Springer Science & Business Media
ISBN: 364282322X
Category : Mathematics
Languages : en
Pages : 405
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Book Description
According to a recent report of the United States Census Bureau, world population as of June 30, 1983, was estimated at about 4. 7 billion people; of this total, an estimated 82 million had been added in the previous year. World population in 1950 was estimated at about 2. 5 billion; consequently, if 82 million poeple are added to the world population in each of the coming four years, population size will be double that of 1950. Another way of viewing the yearly increase in world population is to compare it to 234 million, the estimated current population of the United States. If the excess of births over deaths continues, a group of young people equivalent to the population of the United States will be added to the world population about every 2. 85 years. Although the rate of increase in world population has slowed since the midsixties, it seems likely that large numbers of infants will be added to the population each year for the foreseeable future. A large current world population together with a high likelihood of sub stantial increments in size every year has prompted public and scholarly recognition of population as a practical problem. Tangible evidence in the public domain that population is being increasingly viewed as a problem is provided by the fact that many governments around the world either have or plan to implement policies regarding population. Evidence of scholarly concern is provided by an increasing flow of publications dealing with population.
