Dynamic Behavior of Positive Solutions for a Leslie Predator-Prey System with Mutual Interference and Feedback Controls

We consider a Leslie predator-prey system with mutual interference and feedback controls. For general nonautonomous case, by using differential inequality theory and constructing a suitable Lyapunov functional, we obtain some sufficient conditions which guarantee the permanence and the global attrac...

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Detalles Bibliográficos
Autores principales: Zhang, Cong, Huang, Nan-jing, Deng, Chuan-xian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3918402/
https://www.ncbi.nlm.nih.gov/pubmed/24578652
http://dx.doi.org/10.1155/2014/637026
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author Zhang, Cong
Huang, Nan-jing
Deng, Chuan-xian
author_facet Zhang, Cong
Huang, Nan-jing
Deng, Chuan-xian
author_sort Zhang, Cong
collection PubMed
description We consider a Leslie predator-prey system with mutual interference and feedback controls. For general nonautonomous case, by using differential inequality theory and constructing a suitable Lyapunov functional, we obtain some sufficient conditions which guarantee the permanence and the global attractivity of the system. For the periodic case, we obtain some sufficient conditions which guarantee the existence, uniqueness, and stability of a positive periodic solution.
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spelling pubmed-39184022014-02-26 Dynamic Behavior of Positive Solutions for a Leslie Predator-Prey System with Mutual Interference and Feedback Controls Zhang, Cong Huang, Nan-jing Deng, Chuan-xian ScientificWorldJournal Research Article We consider a Leslie predator-prey system with mutual interference and feedback controls. For general nonautonomous case, by using differential inequality theory and constructing a suitable Lyapunov functional, we obtain some sufficient conditions which guarantee the permanence and the global attractivity of the system. For the periodic case, we obtain some sufficient conditions which guarantee the existence, uniqueness, and stability of a positive periodic solution. Hindawi Publishing Corporation 2014-01-20 /pmc/articles/PMC3918402/ /pubmed/24578652 http://dx.doi.org/10.1155/2014/637026 Text en Copyright © 2014 Cong Zhang et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Zhang, Cong
Huang, Nan-jing
Deng, Chuan-xian
Dynamic Behavior of Positive Solutions for a Leslie Predator-Prey System with Mutual Interference and Feedback Controls
title Dynamic Behavior of Positive Solutions for a Leslie Predator-Prey System with Mutual Interference and Feedback Controls
title_full Dynamic Behavior of Positive Solutions for a Leslie Predator-Prey System with Mutual Interference and Feedback Controls
title_fullStr Dynamic Behavior of Positive Solutions for a Leslie Predator-Prey System with Mutual Interference and Feedback Controls
title_full_unstemmed Dynamic Behavior of Positive Solutions for a Leslie Predator-Prey System with Mutual Interference and Feedback Controls
title_short Dynamic Behavior of Positive Solutions for a Leslie Predator-Prey System with Mutual Interference and Feedback Controls
title_sort dynamic behavior of positive solutions for a leslie predator-prey system with mutual interference and feedback controls
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3918402/
https://www.ncbi.nlm.nih.gov/pubmed/24578652
http://dx.doi.org/10.1155/2014/637026
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