Stochastic differential delay equations of population dynamics

Mao, X. and Yuan, C. and Zou, J. (2005) Stochastic differential delay equations of population dynamics. Journal of Mathematical Analysis and Applications, 304 (1). pp. 296-320. ISSN 0022-247X (http://dx.doi.org/10.1016/j.jmaa.2004.09.027)

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Abstract

In this paper, we investigate the almost surely asymptotic stability for the nonlinear stochastic differential delay equations with Markovian switching. Some sufficient criteria on the controllability and robust stability are also established for linear stochastic differential delay equations with Markovian switching.