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Stochastic hybrid delay population dynamics


J. Lygeros, X. Mao, C. Yuan

Lecture Notes in Computer Science LNCS, vol. 3927, pp. 436-450, HSCC'2006

In this paper we will investigate a stochastic hybrid delay population dynamics (SHDPD) and show under certain conditions, the SHDPD will have global positive solution. Ultimate boundedness and extinction, two important properties in a population systems, are discussed. Keywords: Brownian motion, Itô’s formula, ultimate boundedness, extinction.


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