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时间尺度上带有收获项的一类捕食-食饵系统多个正周期解的存在性

Multiple Periodic Solutions for a Class of Predator-Prey System with Harvesting Terms on Time Scales
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摘要 应用重合度延拓定理和一些不等式技巧,研究了一类时间尺度上带有收获项的三种群捕食-食饵系统,得到其至少存在八个正周期解的充分条件,并用一个例子验证了所得结果的有效性. In this paper,ageneral class of predator-prey system with harvesting terms on time scales is studied by using Mawhin's continuation theorem of coincidence degree theory and some skills of inequalities.The sufficient condition is established for the existence of at least eight positive periodic solutions.An example is given to illustrate the effectiveness of the result.
作者 李周红 杨成莲
机构地区 玉溪师范学院数学系 腾冲市明光中学
出处 《玉溪师范学院学报》 2016年第8期1-10,共10页 Journal of Yuxi Normal University
关键词 时间尺度 正周期解 重和度 捕食-食饵系统 收获项 time scale positive periodic solution coincidence degree predator-prey system harvesting term
分类号 O175 [理学—基础数学]
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  • 1X. K. Huang, Z. G. Xiang, On the existence of 2n--periodic solution for delay Duffing equational' (t) +g(t,x(t-r)) = p(t) , Chinese Sei. Bull. 39(3) (1994) 201--203.
  • 2Y. K. Li, Periodic solutions of the Lienard equation with deviating arguments, J. Math. Res. Exposition 18(4) (1998) 565-570.
  • 3G. Q. Wang, S.S. Cheng, A priori bounds for periodic solutions of a delay Rayleigh equation, Appl. Math. Lett. 12(1999)41-44.
  • 4G. IDo Wang, J. R. Yan, On existence Of periodic solution of the Rayleigh equation of retarded type, Int. J. Math. Sci. 23(1)(2000)65-68.
  • 5S. P. Lu, W. G. Ge, Some new results on the existence of periodic solutions to a kind of Rayleigh equation with a deviating argument, Nonlinear Anal. 56(2004)501-514.
  • 6M. G. Zong, H. Z. Liang, Periodic solutions for Rayleigh typep-Laplacian equation with deviating arguments, Appl. Math. Lett. 206(2007)43-47.
  • 7B. W. Liu, Existence and uniqueness of periodic solutions for a kind of Lienard type p-Laplacian equation, Nonlinear Analysis.. Theory, Methods and Applications, 69(2008)724-729.
  • 8F. J. Cao, Z. L. Han and S. R. Sun, Existence of Periodic Solutions for p-Laplacian Equations on Time Scales, Advances in Difference Equations. (2010): 584375, 13pages.
  • 9Y. Lei, Z. Li,, K. Zhao, Existence of periodic solutions for a kind of forced Rayleigh-type p-Laplacian equaitons on time scales, International Journal of Mathematical And Computer science 6.2 2010.
  • 10S. Hilger, Analysis on measure chains-a unified approach to continuous and discrete calculus, Results in Mathematics, 18(1990)18-56.

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玉溪师范学院学报
2016年 第8期

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