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Periodic solution of a higher dimensional ecological system
Xia,Yonghui1,2; Wang,Huicheng2; Ian Kou,Kit3; Hu,Zhaoping4
2016
Source PublicationJournal of Applied Analysis and Computation
ISSN2156-907X
Volume6Issue:3Pages:893-906
Abstract

The main purpose of this article is to study the periodicity of a Lotka-Volterra's competition system with feedback controls. Some new and interesting sufficient conditions are obtained for the global existence of positive periodic solutions. Our method is base on combining matrix’s spectral theory and inequality |x(t)|≤x(t)+∫|ẋ(t)|dt. Some examples and their simulations show the feasibility of our main result.

KeywordAsymptotic Stability Feedback Controls Lyapunov Function Periodic Solutions
DOI10.11948/2016058
URLView the original
Language英語English
WOS IDWOS:000385782500018
Scopus ID2-s2.0-84969165115
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Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorXia,Yonghui
Affiliation1.School of Mathematical Sciences,Huaqiao University,Quanzhou,362021,China
2.Department of Mathematics,Zhejiang Normal University,Jinhua,310004,China
3.Department of Mathematics,Faculty of Science and Technology,University of Macau,Macau,Macao
4.Department of Mathematics,Shanghai University,Shanghai,200444,China
Recommended Citation
GB/T 7714
Xia,Yonghui,Wang,Huicheng,Ian Kou,Kit,et al. Periodic solution of a higher dimensional ecological system[J]. Journal of Applied Analysis and Computation, 2016, 6(3), 893-906.
APA Xia,Yonghui., Wang,Huicheng., Ian Kou,Kit., & Hu,Zhaoping (2016). Periodic solution of a higher dimensional ecological system. Journal of Applied Analysis and Computation, 6(3), 893-906.
MLA Xia,Yonghui,et al."Periodic solution of a higher dimensional ecological system".Journal of Applied Analysis and Computation 6.3(2016):893-906.
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