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PERIODIC SOLUTIONS TO A PREDATOR-PREY SYSTEM WITH HOLLING IV FUNCTIONAL RESPONSE ON TIME SCALES

Changjin Xu, Qianhong Zhang (Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004)  
In this paper, a non-autonomous predator-prey model with Holling IV functional response is investigated. By the Gaines and Mawhin's continuation theorem of coincidence degree theory on time scales, sufficient conditions for the existence of periodic solutions are obtained.
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