Opuscula Math. 31, no. 2 (2011), 257-267
Four positive periodic solutions of a discrete time Lotka-Volterra competitive system with harvesting terms
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.
- Received: 2010-04-19.
- Revised: 2010-06-08.
- Accepted: 2010-06-15.