线性扰动随机SI系统的渐近行为

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Asymptotic Behavior of Stochastic SI Systemwith Linear Perturbation

SUN Yan¹, LIU Zhenwen¹, ZHAO Yanan², JIANG Zhixia¹, TAN Haijun^1

1. School of Science, Changchun University of Science and Technology, Changchun 130022, China;2. Department of Applied Mathematics, Changchun University, Changchun 130022, China

Received:2014-07-14 Online:2014-11-26 Published:2014-12-11
Contact: LIU Zhenwen E-mail:lzw19790115765@sina.com

Abstract

Abstract:

We discussed the existence and uniqueness, persistence, extinction and asymptotic behavior of the globally nonnegative solution of the stochastic SI system under certain conditions with Lyapunov analysis method. The stochastic SI system possesses stationary distributions and is ergodicity.

Key words: Ito’s formula, Lyapunov method, existence and uniqueness of the positive solution; , permanence, extinction, station

CLC Number:

O211.63

SUN Yan, LIU Zhenwen, ZHAO Yanan, JIANG Zhixia, TAN Haijun. Asymptotic Behavior of Stochastic SI Systemwith Linear Perturbation[J].Journal of Jilin University Science Edition, 2014, 52(06): 1196-1202.

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Asymptotic Behavior of Stochastic SI Systemwith Linear Perturbation

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