Stochastic Population and Epidemic Models: Persistence and Extinction - Mathematical Biosciences Institute Lecture Series 1.3 (Paperback)
  • Stochastic Population and Epidemic Models: Persistence and Extinction - Mathematical Biosciences Institute Lecture Series 1.3 (Paperback)
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Stochastic Population and Epidemic Models: Persistence and Extinction - Mathematical Biosciences Institute Lecture Series 1.3 (Paperback)

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Paperback 47 Pages / Published: 02/09/2015
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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.

Publisher: Springer International Publishing AG
ISBN: 9783319215532
Number of pages: 47
Weight: 1175 g
Dimensions: 235 x 155 x 4 mm
Edition: 1st ed. 2015


MEDIA REVIEWS
"The readers will certainly appreciate the quality of a text written in a very clear way, well-organized and with high pedagogical standard. ... Stochastic Population and Epidemic Models (Persistence and Extinction) is indeed a short, but complete, manual for the study of stochastic population and epidemic models indispensable for graduate students, for whom it was thought, but also accessible to many more audiences: professionals or simply curious on these subjects." (Manuel Alberto M. Ferreira, Acta Scientiae et Intellectus, Vol. 3 (2), 2017)

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