Opuscula Math. 31, no. 2 (2011), 257-267
Four positive periodic solutions of a discrete time Lotka-Volterra competitive system with harvesting terms
Xinggui Liu
Yaping Ren
Yongkun Li
Abstract.
In this paper, by using Mawhin's continuation theorem of coincidence degree theory, we establish the existence of at least four positive periodic solutions for a discrete time Lotka-Volterra competitive system with harvesting terms. An example is given to illustrate the effectiveness of our results.
Keywords:
discrete systems, Lotka-Volterra competitive models, coincidence degree, harvesting terms.
Mathematics Subject Classification:
34A34, 39A10.
About the authors ▼
Xinggui Liu
Yunnan Agricultural University, Department of Applied Mathematics, Kunming, Yunnan 650221, People's Republic of China
Yaping Ren
Yunnan University of Finance and Economics, Statistics and Mathematics college, Kunming, Yunnan 650221, People's Republic of China
Yongkun Li
Yunnan University, Department of Mathematics, Kunming, Yunnan 650221, People's Republic of China
About the article ▼
Received: 2010-04-19.
Revised: 2010-06-08.
Accepted: 2010-06-15.
Cite this article as ▼
Xinggui Liu, Yaping Ren, Yongkun Li, Four positive periodic solutions of a discrete time Lotka-Volterra competitive system with harvesting terms, Opuscula Math. 31, no. 2 (2011), 257-267,
http://dx.doi.org/10.7494/OpMath.2011.31.2.257.
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