期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 355, 期 2, 页码 577-593出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2009.02.010
关键词
Brownian motion; Markov chain; Stochastic differential equation; Ito's formula; Extinction; Average in time
资金
- National Natural Science Foundation of China [60874110]
- EPSRC (UK)
- London Mathematical Society
- Edinburgh Mathematical Society
This is a continuation of our paper [Q. Luo, X. Mao, Stochastic population dynamics under regime switching, J. Math. Anal. Appl. 334 (2007) 69-84] on stochastic population dynamics under regime switching. In this paper we still take both white and color environmental noise into account. We show that a sufficient large white noise may make the underlying population extinct while for a relatively small noise we give both asymptotically upper and lower bound for the underlying population. In some special but important situations we precisely describe the limit of the average in time of the population. (c) 2009 Elsevier Inc. All rights reserved.
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