大葉大學圖書館 |

Stochastic population and epidemic models[electronic resource] :persistence and extinction /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	519.234
書名/作者:	Stochastic population and epidemic models : persistence and extinction // by Linda J.S. Allen.
作者:	Allen, Linda J.S.
出版者:	Cham : : Springer International Publishing :, 2015.
面頁冊數:	x, 47 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Branching processes.
標題:	Mathematics.
標題:	Probability Theory and Stochastic Processes.
標題:	Genetics and Population Dynamics.
標題:	Theoretical Ecology/Statistics.
ISBN:	9783319215549
ISBN:	9783319215532
內容註:	Continuous-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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-21554-9

Stochastic population and epidemic models[electronic resource] :persistence and extinction /
Allen, Linda J.S.

Stochastic population and epidemic modelspersistence and extinction /[electronic resource] :by Linda J.S. Allen. - Cham :Springer International Publishing :2015. - x, 47 p. :ill., digital ;24 cm. - Mathematical biosciences institute lecture series. - Mathematical biosciences institute lecture series..

Continuous-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.

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.

ISBN: 9783319215549

Standard No.: 10.1007/978-3-319-21554-9doiSubjects--Topical Terms:

607259
Branching processes.

LC Class. No.: QA274.76

Dewey Class. No.: 519.234

Stochastic population and epidemic models[electronic resource] :persistence and extinction /
LDR:02336nam a2200337 a 4500 001 443518
003 DE-He213
005 20160309163451.0
006 m d
007 cr nn 008maaau
008 160715s2015 gw s 0 eng d
020 $a 9783319215549 $q (electronic bk.)
020 $a 9783319215532 $q (paper)
024 7 $a 10.1007/978-3-319-21554-9 $2 doi
035 $a 978-3-319-21554-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA274.76
072 7 $a PBT $2 bicssc
072 7 $a PBWL $2 bicssc
072 7 $a MAT029000 $2 bisacsh
082 0 4 $a 519.234 $2 23
090 $a QA274.76 $b .A427 2015
100 1 $a Allen, Linda J.S. $3 634221
245 1 0 $a Stochastic population and epidemic models $h [electronic resource] : $b persistence and extinction / $c by Linda J.S. Allen.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a x, 47 p. : $b ill., digital ; $c 24 cm.
490 1 $a Mathematical biosciences institute lecture series
505 0 $a Continuous-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.
520 $a 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.
650 0 $a Branching processes. $3 607259
650 1 4 $a Mathematics. $3 172349
650 2 4 $a Probability Theory and Stochastic Processes. $3 463894
650 2 4 $a Genetics and Population Dynamics. $3 468202
650 2 4 $a Theoretical Ecology/Statistics. $3 591411
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
830 0 $a Mathematical biosciences institute lecture series. $3 634222
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-21554-9
950 $a Mathematics and Statistics (Springer-11649)