| 000 | 02351nam a22003137a 4500 | ||
|---|---|---|---|
| 003 | IIITD | ||
| 005 | 20240110143500.0 | ||
| 008 | 240109b xxu||||| |||| 00| 0 eng d | ||
| 020 | _a9783319215532 | ||
| 040 | _aIIITD | ||
| 082 | 0 | 4 |
_a519.2 _bALL-S |
| 100 | 1 | _aAllen, Linda J. S. | |
| 245 | 1 | 0 |
_aStochastic population and epidemic models : _bpersistence and extinction _cby Linda J. S. Allen. |
| 260 |
_aSwitzerland : _bSpringer, _c©2015. |
||
| 300 |
_ax, 47 p. ; _c24 cm. |
||
| 505 | 0 | _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. | |
| 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 | 0 | _aBiomathematics. | |
| 650 | 0 | _aEcology. | |
| 650 | 0 | _aProbabilities. | |
| 650 | 1 | 4 | _aProbability Theory and Stochastic Processes. |
| 650 | 2 | 4 | _aGenetics and Population Dynamics. |
| 650 | 2 | 4 | _aTheoretical Ecology/Statistics. |
| 776 | 0 | 8 |
_iPrint version: _tStochastic population and epidemic models : persistence and extinction. _z9783319215532 _w(DLC) 2015946862 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319215532 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319215556 |
| 830 | 0 |
_aStochastics in Biological Systems, _v1.3 |
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| 942 |
_2ddc _cBK |
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| 999 |
_c171846 _d171846 |
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