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Literary linguistics: Open Access research in English language

Strathprints makes available Open Access scholarly outputs by English Studies at Strathclyde. Particular research specialisms include literary linguistics, the study of literary texts using techniques drawn from linguistics and cognitive science.

The team also demonstrates research expertise in Renaissance studies, researching Renaissance literature, the history of ideas and language and cultural history. English hosts the Centre for Literature, Culture & Place which explores literature and its relationships with geography, space, landscape, travel, architecture, and the environment.

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Stochastic population dynamics under regime switching II

Luo, Q. and Mao, Xuerong, National Natural Science Foundation of China (Funder), EPSRC (UK) (Funder), London Mathematical Society (Funder), Edinburgh Mathematical Society (Funder) (2009) Stochastic population dynamics under regime switching II. Journal of Mathematical Analysis and Applications, 355 (2). pp. 577-593. ISSN 0022-247X

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Abstract

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.