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Asymptotic behavior of a three-species food chain model with time-varying delays
  • Yuxiao Zhao,
  • Linshan Wang,
  • Yangfan Wang
Yuxiao Zhao
Ocean University of China

Corresponding Author:[email protected]

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Linshan Wang
Department of Mathematics, Ocean University of China, Qingdao, Shandong 266071, PR China
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Yangfan Wang
Ocean University of China
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Abstract

In this paper, a stochastic three-species food chain model with time-varying delays is focussed. The existence and the asymptotic behavior of global positive solutions to the model are discussed, and the sufficient conditions for the 1th moment practical exponential stability and the extinction of the model are given by using the Razumikhin technique and Lyapunov method.