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.
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Produktdetaljer
ISBN
9783319215549
Publisert
2018
Utgiver
Vendor
Springer
Språk
Product language
Engelsk
Format
Product format
Digital bok
Forfatter