loading page

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

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.

Peer review status:UNDER REVIEW

21 Feb 2021Submitted to Mathematical Methods in the Applied Sciences
25 Feb 2021Assigned to Editor
25 Feb 2021Submission Checks Completed
13 Mar 2021Reviewer(s) Assigned