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The stability of stochastic epidemic model with time delays influenced by color noises
Wu Aihua *,Zhang Jianxun
faculty of Science of Ningbo University
*Correspondence author
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Funding: none
Opened online:18 August 2008
Accepted by: none
Citation: Wu Aihua,Zhang Jianxun.The stability of stochastic epidemic model with time delays influenced by color noises[OL]. [18 August 2008] http://en.paper.edu.cn/en_releasepaper/content/23420
 
 
In this paper, we characterize the environment variability with the O-U process and construct the color noises influenced stochastic delayed epidemic model. Using the general method of Lyapunov function construction, we investigate the influences of the color noises to the epidemic model and obtain the sufficient condition that the system positive equilibrium keep stable. Finally, we found that influences of the stability of system are only concerned to the variances of the stochastic processes.
Keywords:Stochastic delay differential equation;Color noise;Ornstein-Uhlenbeck process;The generator;Lyapunov function
 
 
 

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