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Time-delayed Logistic system driven by correlated Gaussian white noises

Guo Yong-Feng Xu Wei

Time-delayed Logistic system driven by correlated Gaussian white noises

Guo Yong-Feng, Xu Wei
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  • Abstract views:  3466
  • PDF Downloads:  1316
  • Cited By: 0
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  • Received Date:  28 December 2007
  • Accepted Date:  11 May 2008
  • Published Online:  20 October 2008

Time-delayed Logistic system driven by correlated Gaussian white noises

  • 1. 西北工业大学应用数学系,西安 710072

Abstract: Time-delayed Logistic system driven by correlated Gaussian white noises could be a more true reflection of the growth of tumor cell population. In this paper, we study the Logistic system through the small time delay approximation to obtain the probability density of the system in its steady state, and further analyze the influences of the additive and multiplicative noise intensity, the noise-correlated time and the time delay on the steady-state probability density. The non-equilibrium phase transition phenomena induced by the noises is also studied.

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