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Zbl 1113.92052
Luo, Qi; Mao, Xuerong
Stochastic population dynamics under regime switching. (English)
[J] J. Math. Anal. Appl. 334, No. 1, 69-84 (2007). ISSN 0022-247X

Summary: We develop a new stochastic population model under regime switching. Our model takes both white and color environmental noises into account. We show that the white noise suppresses explosions in population dynamics. Moreover, from the point of population dynamics, our new model has more desired properties than some existing stochastic population models. In particular, we show that our model is stochastically ultimately bounded.

MSC 2000:: *92D25 Population dynamics
60H30 Appl. of stochastic analysis
60J20 Appl. of discrete Markov processes
60H10 Stochastic ordinary differential equations

Keywords: Brownian motion; Markov chain; stochastic differential equation; Itô's formula; boundedness

Cited in: Zbl 1215.34064 Zbl 1162.92032

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