Critical thresholds for eventual extinction in randomly disturbed population growth models-Reference-Cited by-同舟云学术

Critical thresholds for eventual extinction in randomly disturbed population growth models

Published:2018-02-16 Issue:2 Volume:77 Page:495-525
ISSN:0303-6812
Container-title:Journal of Mathematical Biology
language:en
Short-container-title:J. Math. Biol.

Author:

Peckham Scott D.,Waymire Edward C.,De Leenheer Patrick

Funder

National Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Modelling and Simulation

Link

http://link.springer.com/article/10.1007/s00285-018-1217-y/fulltext.html

Reference21 articles.

1. Bhattacharya RN, Majumdar M (2007) Random dynamical systems. Cambridge University Press, Cambridge

2. Bhattacharya RN, Waymire EC (1990) Stochastic processes with applications. Wiley, New York (reprinted in SIAM classics in applied mathematics series, (2009), vol 61)

3. Brandt A (1986) The stochastic equation $$Y_{n+1} = A_n \, Y_n + B_n$$ with stationary coefficients. Adv Appl Probab 18(1):211–220. http://www.jstor.org/stable/1427243 . Accessed 13 Feb 2018

4. Costa OLV (1990) Stationary distributions for piecewise-deterministic Markov processes. J Appl Probab 27(1):60–73. http://www.jstor.org/stable/3214595 . Accessed 13 Feb 2018

5. Davis MHA (1984) Piecewise-deterministic Markov processes: a general class of non-diffusion stochastic models. J R Stat Soc Ser B (Methodol) 46(3):353–388. https://www.jstor.org/stable/2345677 . Accessed 13 Feb 2018

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