期刊文献+

一类具有稀疏效应的捕食者-食饵系统的周期解 被引量:1

POSITIVE PERIODIC SOLUTION FOR A PREDATOR-PREY SYSTEM WITH SPARSE EFFECT
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摘要 利用Mawhin重合度理论研究了具有稀疏效应和Beddington-DeAnge- lis功能性反应的捕食者-食饵系统的正周期解的存在性问题,得到了该生物系统正周期解存在的一个充分条件,推广了相关文献的某些已知结果. By using the continuation theorem based on coincidence degree theory,the existence of positive periodic solution for a periodic predator-prey system with sparse effect and Beddington-DeAngelis functional response is studied in this paper.A sufficient condition is derived about it,which improve some known results.
机构地区 哈尔滨学院
出处 《哈尔滨师范大学自然科学学报》 CAS 2006年第6期4-6,11,共4页 Natural Science Journal of Harbin Normal University
基金 黑龙江省教育厅科学技术研究项目(11513043)
关键词 稀疏效应 BEDDINGTON-DEANGELIS功能性反应 周期解 重合度 Sparse effect Beddington-DeAngelis functional response Periodic solution Coincidence degree
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参考文献8

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同被引文献6

  • 1欧伯群,秦发金.基于比率的离散型Leslie系统正周期解的存在性[J].哈尔滨师范大学自然科学学报,2006,22(6):7-11. 被引量:1
  • 2Freedman H I,Waltman P. Mathematical analysis of some three-species food-chain models[J].Mathematical Biosciences,1977,(33):257-276.
  • 3Ginoux J M,Rossetto B,Jamet J L. Chaos in a three-dimensional Volterra-Gause model of predator-prey type[J].2005,(15):1689-1708.
  • 4Hastings A,Powell T. Ecology.Chaos in three-species food chain[J].International Journal of Bifurcation and Chaos,1991,(72):896-903.
  • 5FariaT,MagalhvesLT. Restrictionson the Possible Flows of Scalar Retarded Functional Differential Equations in Neighborhoods of Singularities[J].Journal Dynamics and Differential Equations,1996,(01):35-70.
  • 6郭爽,刘洋,沙元霞,于健.Cause型捕食模型的稳定性与分支分析[J].吉林大学学报(理学版),2012,50(5):940-944. 被引量:4

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