Analysis and control of pre-extinction dynamics in stochastic populations

Autor:	Nieddu, Garrett, Billings, Lora, Forgoston, Eric
Rok vydání:	2014
Předmět:	Quantitative Biology - Populations and Evolution Condensed Matter - Statistical Mechanics
Druh dokumentu:	Working Paper
Popis:	We consider a stochastic population model where the intrinsic or demographic noise causes cycling between states before the population eventually goes extinct. A master equation approach coupled with a WKB (Wentzel-Kramers-Brillouin) approximation is used to construct the optimal path to extinction. In addition, a probabilistic argument is used to understand the pre-extinction dynamics and approximate the mean time to extinction. Analytical results agree well with numerical Monte Carlo simulations. A control method is implemented to decrease the mean time to extinction. Analytical results quantify the effectiveness of the control and agree well with numerical simulations. Comment: 17 pages, 9 figures. Final version to appear in Bulletin of Mathematical Biology
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1412.3857 Zobrazit plný text záznamu View this record from Arxiv