On the extinction of populations with several types in a random environment

被引:1
作者
Bacaer, Nicolas [1 ]
机构
[1] Inst Rech Dev, Unite UMMISCO, F-75006 Paris, France
关键词
Population dynamics; Branching process; Random environment; Extinction; BRANCHING-PROCESSES;
D O I
10.1016/j.crvi.2018.01.009
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
This study focuses on the extinction rate of a population that follows a continuous-time multi-type branching process in a random environment. Numerical computations in a particular example inspired by an epidemic model suggest an explicit formula for this extinction rate, but only for certain parameter values. (C) 2018 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
引用
收藏
页码:145 / 151
页数:7
相关论文
共 15 条
[1]   BRANCHING PROCESSES WITH RANDOM ENVIRONMENTS .1. EXTINCTION PROBABILITIES [J].
ATHREYA, KB ;
KARLIN, S .
ANNALS OF MATHEMATICAL STATISTICS, 1971, 42 (05) :1499-+
[2]  
Bacaer N., 2014, PROBABILITE EXTINCTI
[3]  
Bacaer N., 2017, CR BIOL, V340, P453
[4]  
Bacaer N., 2014, PROCESSUS LINEAIRES
[5]  
Bacaër N, 2017, J MATH BIOL, V75, P85, DOI 10.1007/s00285-016-1079-0
[6]   On the speed of extinction of a population in a random environment [J].
Bacaer, Nicolas .
COMPTES RENDUS BIOLOGIES, 2017, 340 (05) :259-263
[7]  
CARTAN H., 1961, Theorie elementaire des fonctions analytiques d'une ou plusieurs variables complexes
[8]  
Ciarlet P. G., 2006, INTRO ANAL NUMERIQUE
[9]  
Collet P., 2013, QUASI STATIONARY DIS
[10]   Multitype subcritical branching processes in a random environment [J].
Dyakonova, E. E. .
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2013, 282 (01) :80-89