Exponential Stability of Stochastic Age-Dependent Population with Diffusion

Hui Li Han; Qi Min Zhang

doi:10.4028/www.scientific.net/AMR.282-283.231

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 282-283Exponential Stability of Stochastic Age-Dependent...

Exponential Stability of Stochastic Age-Dependent Population with Diffusion

Abstract:

In this paper, a class of stochastic age-dependent population dynamic system with diffusion is introduced. Exponential stability of paths of a strong solution for stochastic age-dependent population dynamic system in Hilbert space is established. The analyses use exponential martingale formula, Lyapunov functional and some special inequalities for our stability purposes. Various sufficient conditions are obtained to ensure the stability of the strong solutions. In particular, by means of our results we loosen the condition of stability.

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Periodical:

Advanced Materials Research (Volumes 282-283)

Pages:

231-235

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.282-283.231

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Online since:

July 2011

Authors:

Hui Li Han, Qi Min Zhang

Keywords:

Almost Sure Stability, Ito’s Formula, Stochastic Population System

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