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具有收获项和Hassell-varley功能反应的捕食时标系统多重周期解

Multiple Periodic Solutions of Predator-prey System on Time Scales with Hassell-varley Functional Response and Harvesting
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摘要 在时间测度上研究了具有Hassell-varley型功能反应和收获项的捕食系统多周期解的存在性.利用重合度理论中的延拓定理,得到了该系统至少存在4个不同正周期解的充分条件. In this paper , we consider the existence of more periodic solution for a class of predator-prey system on time scales with Hassell-varley functional response andharvesting .By using a continuation the-orem based on cioncidence degress theory ,sufficient conditions of at least four positive periodic solutions are obtained .
作者 王晖
出处 《湖北民族学院学报(自然科学版)》 CAS 2015年第2期146-152,共7页 Journal of Hubei Minzu University(Natural Science Edition)
基金 内蒙古自治区区级项目(2013NMJG032) 内蒙古民族大学校级项目(MDYB201406)
关键词 时间测度 Hassell-varley型功能反应 收获率 周期解 重合度 time scale Hassell-varley functional response harvesting positive periodic solutions coinci-dence degree
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参考文献13

  • 1Bohner M, Peterson A.Dynamic equations on time scales : anintroduction with application [ M ].Boston : Birkhauser, 2001.
  • 2Bohner M, Peterson A.Advances in dynamic equations on time scales [ M ] .Boston: Birkhauser, 2001.
  • 3Eric R K,Youssef N R.Periodie solutions for a neutral nonlinear dynamical equation on a time scale[J] .J Math Anal Appl,2006,319:315-325.
  • 4Zhang W, Bi P, Zhu D.Periodicity in a ratio-dependent predator-prey system with stage-structured predator on time scales[ J 1.Nonlinear Anal Real World Appl, 2008,9 : 344-353.
  • 5Wang D.Four positive periodic solutions of a delayed plankton allelopathy syetem on tinae scales with multiple exploited( or harvesting)terms[ EBI- OL] .IMA J Appl Math, DOI : 10. 1093/imamat/hxr061.
  • 6刘振杰.时间测度上具有时滞基于半比率的捕食者-食饵扩散系统的周期解[J].数学的实践与认识,2008,38(24):235-239. 被引量:9
  • 7Martin Boher, Fan Meng, Zhang Jimin.Existence of periodic solutions in predator-prey and competition dynamic system [ J ] .Nonlinear Analysis:Real world Applications, 2006,7 : 1193 - 1204.
  • 8黎勇,秦发金.时间测度上具有Holling-N类功能反应和扩散的捕食系统的周期解[J].数学的实践与认识,2010,40(2):126-134. 被引量:10
  • 9汪东树.具有多开发(收获)项的周期Lotka-Volterra捕食者-食饵时标系统多重周期正解[J].数学年刊(A辑),2012,33(4):469-482. 被引量:2
  • 10Pathak S, Maiti A, Samanta G P. Rich dynamics of a food chain model with Hassell-Varley type functional responses [ J ] .Applied Mathematics and Computation, 2009,208 : 303- 317.

二级参考文献52

  • 1张炳根.测度链上微分方程的进展[J].中国海洋大学学报(自然科学版),2004,34(5):907-912. 被引量:32
  • 2Huo H. Periodic solutions for a semi-ratio-dependent predator-prey system with functional responses[J]. Appl Math Letters,2005.18(3):313-320.
  • 3Gaines R E, Mawhin J L. Coincidence Degree and Nonlinear Differential Equations[M]. Springer, Berlin,1977.
  • 4Leslie P H, Gower J C, The properties of a stochastic model for the predator-prey type of interaction between two species[J]. Biometrika, 1960,47 : 219-234.
  • 5Wang Q, Fan M. Wang K. Dynamics of a class of nonautonomous semi-ratio-dependent predator-prey systems with functionalresponses[J]. J Math Anal Appl,2003.278(2):443-471.
  • 6Bohner M, Fan M, Zhang J. Existence of periodic solutions in predator-prey and competition dynamic systems[J]. Nonlinear Analysis : Real World Applications ,2006,7(5): 1193-1204.
  • 7Freedman H I. Deterministic Mathematical Models in Population Ecology [M ]. Monograph Textbooks Pure Applied Math, Marcel Dekker, New York, 1980,57.
  • 8Fazly M, Hesaaraki M. Periodic solutions for a discrete time predator-prey system with monotone functional responses[J]. C R Acad Sci Paris, Set I,2007,345(4):199-202.
  • 9Ding X, Lu C, Liu M. Periodic solutions for a semi-ratio-dependenl predator-prey system with nonmonotonic functional response and time delay[J]. Nonlinear Analysis: Real World Applications.2008,9(3):762-775.
  • 10Fan Meng, Kuang Yang. Dynamics of a nonautonomous predator-prey system with the Beddington- DeAngelis functional response[J]. J Math Anal Appl, 2004, 295(1): 15-39.

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