期刊文献+

一类具无穷时滞和收获率捕食-食饵系统的多重周期正解

Multiple Positive Periodic Solutions of a Predator-prey System with Harvesting and Infinite Delays
下载PDF
导出
摘要 研究了一类具有无穷时滞、收获率和非单调功能性反应函数的比率依赖捕食-食饵系统.利用一些分析技巧和重合度理论,得到该系统存在多重周期正解的新结果. In this paper, a ratio -dependent predator- prey system with non -monotone functional re- sponse, harvesting and infinite delays was investigated. By means of coincidence degree theory and some analysis techniques, a new result on the existence of multiple positive periodic solutions to the system was obtained.
作者 谢东
出处 《佳木斯大学学报(自然科学版)》 CAS 2012年第4期598-601,共4页 Journal of Jiamusi University:Natural Science Edition
基金 安徽省教育厅自然科学研究项目(KJ2010B124 KJ2009B093 KJ2011Z258) 安徽省质量工程项目省级特色专业数学教育(20101184) 亳州师专校级精品课程<解析几何> 亳州师专质量工程项目(BZSZJYXM201115)
关键词 无穷时滞 收获率 多重周期正解 重合度理论 非单调功能性反应函数 infinite delay harvesting multiple positive periodic solution coincidence degree theory non- monotone functional response
  • 相关文献

参考文献6

  • 1Xia Y. , Han M. , Multiple Periodic Solution of a Ratio- de- pendent Predator- prey Model[J].Clmo. SoIL Frac., 39 (2009) 1100-1108.
  • 2D. Hu, Z. Zhang, Four Positive Periodic Solutions of a Discrete time Delayed Predator - prey System with Nonmonotonic Func- tional Response and Harvesting, Comput. Math. Appl, 56 (2008) 3015-3022.
  • 3Salto Y. , Permanence and Global Stability for General Lotka - Volterra Predator Prey Systems with Distributed Delays[J]. Non- linear Anal., 47(2001) 6157-6168.
  • 4M. Bohner, M. Fan, J. M. Zhang, Periodicity of Scalar Dy- namic Equations and Applications to Population Models, J. Math. Anal. Appl. 7 (5) (2006) 1193-1204.
  • 5Wang Q. , Dai B. , Chen M. , Multiple Periodic Solutions of An- impulsive Predator - prey Model with Honing - type IV Function- al Response, Math. Comput. Modelling 49 (2009) 1829- 1836.
  • 6R. E. Gaines and J. L. Mawhin. , Coincidence Degree and Nonlinear Differential Equations [ M ]. Berlin : Springer - Vet- lag, 1977,40 - 60.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部