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010   $a3-319-21554-X
024 7 $a10.1007/978-3-319-21554-9
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035   $a(DE-He213)978-3-319-21554-9
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100   $a20150820d2015      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aStochastic Population and Epidemic Models $ePersistence and Extinction /$fby Linda J. S. Allen
205   $a1st ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015.
215   $a1 online resource (55 p.)
225 1 $aStochastics in Biological Systems,$x2364-2297 ;$v1.3
300   $aDescription based upon print version of record.
311   $a3-319-21553-1 
320   $aIncludes bibliographical references and index.
327   $aContinuous-Time and Discrete-State Branching Processes -- Applications of Single-Type Branching Processes -- Applications of Multi-Type Branching Processes -- Continuous-Time and Continuous-State Branching Processes.-MatLaB Programs.
330   $aThis monograph provides a summary of the basic theory of branching processes for single-type and multi-type processes. Classic examples of population and epidemic models illustrate the probability of population or epidemic extinction obtained from the theory of branching processes. The first chapter develops the branching process theory, while in the second chapter two applications to population and epidemic processes of single-type branching process theory are explored. The last two chapters present multi-type branching process applications to epidemic models, and then continuous-time and continuous-state branching processes with applications. In addition, several MATLAB programs for simulating stochastic sample paths are provided in an Appendix. These notes originated as part of a lecture series on Stochastics in Biological Systems at the Mathematical Biosciences Institute in Ohio, USA. Professor Linda Allen is a Paul Whitfield Horn Professor of Mathematics in the Department of Mathematics and Statistics at Texas Tech University, USA.
410  0$aStochastics in Biological Systems,$x2364-2297 ;$v1.3
606   $aProbabilities
606   $aBiomathematics
606   $aEcology 
606   $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004
606   $aGenetics and Population Dynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/M31010
606   $aTheoretical Ecology/Statistics$3https://scigraph.springernature.com/ontologies/product-market-codes/L19147
615  0$aProbabilities.
615  0$aBiomathematics.
615  0$aEcology .
615 14$aProbability Theory and Stochastic Processes.
615 24$aGenetics and Population Dynamics.
615 24$aTheoretical Ecology/Statistics.
676   $a519.234
700   $aAllen$b Linda J. S$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755633
712 02$aMathematical Biosciences Institute at the Ohio State University.
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299769103321
996   $aStochastic population and epidemic models$91522736
997   $aUNINA