Stochastic population and epidemic models : persistence and extinction
Language: English Series: Mathematical biosciences institute lecture series | / edited by Michael Reed; v.1.3: Stochastics in biological systemsPublication details: Switzerland Springer 2015Description: x, 47pISBN:- 9783319215532
- 519.234 Al53s
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PK Kelkar Library, IIT Kanpur | General Stacks | 519.234 Al53s (Browse shelf(Opens below)) | Checked out to Malay Banerjee (E0529100) | 16/12/2025 | A183711 |
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| 519.233 St49i Introduction to the numerical solution of Markov Chains | 519.233 St89m Multidimensional diffusion processes | 519.233 W488pE Limit theorems on large deviations for Markov stochastic processes | 519.234 Al53s Stochastic population and epidemic models | 519.234 At42 Branching processes | 519.234 P214p Probabilistic models of population evolution | 519.24 D34e Extreme value theory |
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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