Globally Attractive of a Ratio-Dependent Lotka-Volterra Predator-Prey Model with Feedback Control
Advances in Bioscience and Bioengineering
Volume 4, Issue 5, October 2016, Pages: 59-66
Received: Sep. 15, 2016; Accepted: Sep. 27, 2016; Published: Oct. 19, 2016
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Authors
Changyou Wang, Key Laboratory of Industrial Internet of Things & Networked Control of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing, P.R. China; College of Automation, Chongqing University of Posts and Telecommunications, Chongqing, P. R. China; College of Science, Chongqing University of Posts and Telecommunications, Chongqing, P. R. China
Hao Liu, Key Laboratory of Industrial Internet of Things & Networked Control of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing, P.R. China; College of Automation, Chongqing University of Posts and Telecommunications, Chongqing, P. R. China
Shuang Pan, Key Laboratory of Industrial Internet of Things & Networked Control of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing, P.R. China; College of Automation, Chongqing University of Posts and Telecommunications, Chongqing, P. R. China
Xiaolin Su, College of Science, Chongqing University of Posts and Telecommunications, Chongqing, P. R. China
Rui Li, Key Laboratory of Industrial Internet of Things & Networked Control of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing, P.R. China; College of Automation, Chongqing University of Posts and Telecommunications, Chongqing, P. R. China
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Abstract
By constructing suitable Lyapunov function and developing some new analysis techniques, a Lotka-Volterra predator-prey system with ratio-dependent functional responses and feedback controls is studied and a sufficient condition which guarantees the globally attractive of positive solution for the predator-prey model is obtained. Moreover, the numerical simulation to the system is given to illustrate our results.
Keywords
Predator-Prey System, Feedback Control, Ratio-Dependent, Globally Attractive
To cite this article
Changyou Wang, Hao Liu, Shuang Pan, Xiaolin Su, Rui Li, Globally Attractive of a Ratio-Dependent Lotka-Volterra Predator-Prey Model with Feedback Control, Advances in Bioscience and Bioengineering. Vol. 4, No. 5, 2016, pp. 59-66. doi: 10.11648/j.abb.20160405.13
Copyright
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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