The Stability of a Reaction-Diffusion Lotka-Volterra Competitive System with Nonlocal Delays and Feedback Controls
Year: 2019
Author: Zhong Li, Zhenliang Zhu
Annals of Applied Mathematics, Vol. 35 (2019), Iss. 1 : pp. 71–98
Abstract
In this paper, we consider a Lotka-Volterra competitive system with nonlocal delays and feedback controls. Using the Lyapunov functional and iterative technique method, we investigate the global stability and extinction of the system. Also, we show the influence of feedback controls on dynamic behaviors of the system. Some examples are presented to verify our main results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2019-AAM-18068
Annals of Applied Mathematics, Vol. 35 (2019), Iss. 1 : pp. 71–98
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 28
Keywords: extinction feedback control reaction-diffusion Lotka-Volterra nonlocal delays.