Periodic Solutions for a Two-prey One-predator System on Time Scales

In this paper, using the Gaines and Mawhin,s continuation theorem of coincidence degree theory on time scales, the existence of periodic solutions for a two-prey one-predator system is studied. Some sufficient conditions for the existence of positive periodic solutions are obtained. The results provide unified existence theorems of periodic solution for the continuous differential equations and discrete difference equations.

• Changjin Xu

• Time scales
• competitive system
• periodic solution
• coincidence degree
• topological degree.

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