期刊文献+

一类“食物有限”基于比率的Holling-Tanner离散模型的持久性

Permanence for a "food-limited" ratio-dependent Holling-Tanner discrete model
在线阅读 下载PDF
导出
摘要 研究一类"食物有限"基于比率的Holling-Tanner离散捕食者-食饵模型.利用差分方程的不等式理论及振动理论,证明在一定条件下,该系统是持久的. In this paper, a "food-limited" discrete ratio-dependent Holling-Tanner predator-prey model is stud- ied. By using the theory of difference inequality and the oscillation theory of difference equation, it is showed that the system is permanence under some conditions
作者 吴丽萍
机构地区 闽江学院数学系
出处 《纯粹数学与应用数学》 2015年第3期245-251,共7页 Pure and Applied Mathematics
关键词 离散 食物有限 基于比率 Holling—Tanner模型 持久性 discrete, food-limited, ratio-dependent response, Holling-Tanner model, permanence
  • 相关文献

参考文献9

  • 1Yang Bo. Pattern formation in a diffusive ratio-dependent Holling-Tanner predator-prey model with Smith Growth [J]. Discrete Dynamics in Nature and Society, 2013, DOI: org/10.1155/2013/454209.
  • 2Chen F D. Permanence for the discrete mutualism model with time delays [J]. Math. Comput. Model., 2008,47(3/4) :431-435.
  • 3Fan M, Wang K. Periodic solutions of a discrete time nonautonomous ratio-dependent predator-prey sys- tern [J]. Math. Comput. Modelling, 2002,35(9/10):951-961.
  • 4Huo H F, Li W T. Stable periodic solution of the discrete periodic Leslie-Grower predator-prey model [J]. Math. Comput. Model., 2004,40(3/4):261-269.
  • 5Yang X T, Liu Y Q, Chen J. Uniform persistence for a discrete predator-prey system with delays [J]. Appl. Math. Comput., 2011,218(4):1174-1179.
  • 6梁志清.一类基于比例确定的离散Leslie系统正周期解的存在性[J].生物数学学报,2004,19(4):421-427. 被引量:9
  • 7Teng Z D, Zhang Y, Cao J. Permanence criteria for general delayed discrete nonautonomous n-species Kolmogorov systems and its applications [J]. Comput. Math. Appl., 2010,59(2):812-828.
  • 8Li Y K, Zhang T W. Permanence and almost periodic sequence solution for a discrete delay logistic equation with feedback control [J]. Nonlinear Anal. RWA., 2011,12(3):1850-1864.
  • 9卞继承,范志强,徐加波,樊小琳.带无穷时滞两种群Lotka-Volterra离散模型的持久性[J].纯粹数学与应用数学,2014,30(2):166-172. 被引量:1

二级参考文献16

  • 1Leslie P H. Some funther notes on the use of matrices in population mathematies[J]. Biometrika ,1948,35(1):213-245.
  • 2Hsu S B, Huang T W. Global stability for a class of predator-prey system[J]. SIAM J Appl Math, 1995,55 (3):763-783.
  • 3Gaines R E, Mawhin J L. Coincidence Degree and Nonlinear Differencetial Equations[M]. Berlin: SpringerVerlay, 1977, 40.
  • 4Zhang R Y, Wang Z C. Periodic solutions of a single species discrete population model with periodic harvest/stock[J]. Copm Math Appl, 2000, 39(1-2):77-90.
  • 5Xu Rui, Chen lansun. Persistence and stability of two-species ratio-despendent prodator-prey system of delay in a two patch environment[J]. Comp Math Appl, 2000, 40(4-5):577-588.
  • 6Leslie P H, Gower J C. The properties of a stochastic model for the predator-prey type of interaction betweentwo species[J]. Biometrika, 1960, 47(1):219-234.
  • 7Teng Zhidong. Uniform persistence of the periodic predator-prey Lotka-Volterra systems [J]. Appl.Anal.,1999,72:339-352.
  • 8Cui Jingan, Sun Yonghong. Permanence of predator-prey system with infinite delay [J]. Electronic Journalof Differential Equations, 2004,81:1-12.
  • 9Lu Zhengyi, Wang Wendi. Permanence and global attractivity for Lotka-Volterra difference systems [J]. J.Math. Biol., 1999,39(3):269-282.
  • 10Li Yongkun, Zhu Lifei. Existence of positive periodic solutions for difference equations with feedback control[J]. Applied Mathematics Letters, 2005,18:61-67.

共引文献8

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