Extinction times for a birth-death process with two phases


Autoria(s): Ross, JV; Pollett, PK
Contribuinte(s)

E O Voit

Data(s)

01/01/2006

Resumo

Many populations have a negative impact on their habitat or upon other species in the environment if their numbers become too large. For this reason they are often subjected to some form of control. One common control regime is the reduction regime: when the population reaches a certain threshold it is controlled (for example culled) until it falls below a lower predefined level. The natural model for such a controlled population is a birth-death process with two phases, the phase determining which of two distinct sets of birth and death rates governs the process. We present formulae for the probability of extinction and the expected time to extinction, and discuss several applications. (c) 2006 Elsevier Inc. All rights reserved.

Identificador

http://espace.library.uq.edu.au/view/UQ:80062

Idioma(s)

eng

Publicador

Elsevier Science Inc

Palavras-Chave #Birth-death Processes #Extinction Probabilities #Extinction Times #Markov Chains #Stochastic Models #Mathematics, Interdisciplinary Applications #Biology #Bayesian-inference #Mathematical & Computational Biology #C1 #230202 Stochastic Analysis and Modelling #780101 Mathematical sciences
Tipo

Journal Article