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

PERIODIC SOLUTIONS TO A PREDATOR-PREY SYSTEM WITH HOLLING IV FUNCTIONAL RESPONSE ON TIME SCALES
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摘要 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. 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.
出处 《Annals of Differential Equations》 2013年第1期98-106,共9页 微分方程年刊(英文版)
基金 supported by National Natural Science Foundation of China (No.11261010) Soft Science and Technology Program of Guizhou Province (No.2011LKC2030) Natural Science and Technology Foundation of Guizhou Province (J[2012]2100) Governor Foundation of Guizhou Province ([2012]53) Doctoral Foundation of Guizhou University of Finance and Economics (2010)
关键词 time scales predator-prey system periodic solution coincidence degree time scales predator-prey system periodic solution coincidence degree
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