000			01766 a2200229 4500
005			20180827132522.0
008			180824b xxu||||| |||| 00| 0 eng d
020			_a9783319215532
040			_cIIT Kanpur
041			_aeng
082			_a519.234 _bAl53s
100			_aAllen, Linda J S.
245			_aStochastic population and epidemic models _bpersistence and extinction _cLinda J S. Allen
260			_aSwitzerland _bSpringer _c2015
300			_ax, 47p
440			_aMathematical biosciences institute lecture series
440			_a / edited by Michael Reed; v.1.3: Stochastics in biological systems
520			_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.
650			_aBranching processes
650			_aMathematics -- Applied
942			_cBK
999			_c559313 _d559313