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具有时滞的两种群Lotka-Volterra合作系统的稳定性 被引量：1

Stability of Two Species Lotka-Volterra Cooperative System with Delay
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摘要 研究了一类具有离散时滞的Lotka-Volterra合作系统的稳定性问题。通过构造适当的Lyapunov泛函,得到一组保证正平衡点全局吸引的充分性条件。文中的研究结果是对已有结果的补充和完善。 Two Lotka-Voherra cooperative systems with discrete delays are studied. By constructing a suitable Lyapunov function,the sufficient conditions which guarantee the global attractivity of the positive equilibrium are obtained. The result supplements and complements the main result of LIN Suqing,etc.
作者 陈晓英 韩荣玉
机构地区 福州大学至诚学院计算机工程系 福州大学数学与计算机科学学院
出处 《江南大学学报（自然科学版）》 CAS 2015年第3期367-369,共3页 Joural of Jiangnan University (Natural Science Edition)　
基金 福建省自然科学基金项目(2013J01011) 福建省教育厅基金项目(JA13361)
关键词 合作系统 种群 时滞 全局吸引性 cooperative system, population, delay, global attractivity
分类号 O175.14 [理学—基础数学]
  • 相关文献

参考文献6

  • 1LIN Suqing, LU Zhengyi. Permanence for two-species Lotka-Voherra systems with delays [ J]. Mathematical Biosciences and Engingeering,2006,3 ( 1 ) : 137-144.
  • 2陈凤德,陈婉琳,赵亮.具有离散时滞的两种群合作系统的稳定性[J].沈阳大学学报（自然科学版）,2013,25(5):376-378. 被引量：3
  • 3杨坤,王海娜,陈凤德.反馈控制Lotka-Volterra合作系统稳定性研究[J].应用数学,2014,27(2):243-247. 被引量：10
  • 4LU Guichen, LU Zhengyi, LIAN Xinze. Delay effect on the permanence for Lotka-Volterra copperative systems [ J ]. Nonlinear Analysis : Real World Applications,2010,11 (4) :2810-2816.
  • 5LI Zhong, HAN Maoan, CHEN Fengde. Influence of feedback controls on an autonomous Lotka-Volterra competitive system with infinite delays [ J ]. Nonlinear Analysis : Real World Applications, 2013,14 ( 1 ) : 402 - 413.
  • 6CHEN Fengde. Global stability of a single species model with feedback control and distributed time delay [ J ]. Applied Mathematics and Computation,2006,178 (2) :474- 479.

二级参考文献14

  • 1Chen L S,Lu Z Y,Wang W I3. The Effect of Delays on the Permanence for Lotka-Volterra Systems [J 3. Applied Mathematics Letters, 1995,8(4) :71 - 73.
  • 2Chen F D. Global Asymptotic Stability in n-species Non- autonomous Lotka-Volterra Competitive Systems with Infinite Delays and Feedback Control [J ]. Applied Mathematics and Computation, 2005,170(2) : 1452 - 1468.
  • 3Chen F I3. Global Stability of a Single Species Model with Feedback Control an Distributed Time Delay[J]. Applied Mathematics and Computation, 2006,178(2) :474 - 479.
  • 4Lin S Q, Lu Z Y. Permanence for Two-species Lotka- Volterra System with Delays[J]. Mathematical Biosciences and Engineering, 2006,3(1) : 137 - 144.
  • 5Gopalsamy K, WENG Peixuan. Global attractivity in a competition system with feedback controls[J-. Comput. Math. Appl. , 2003,45 : 665-676.
  • 6LI Zhong, HAN Maoan, CHEN Fengde. Influence of feedback controls on an autonomous Lotka-Volterracompetitive system with infinite delays[J]. Nonlinear Anal. : Real World Appl. , 2013,14.. 402-413.
  • 7HU Hongxiao,TENG Zhidong,GAO Shujing. Extinction in non-autonomous Lotka-Volterra competitive system with pure-delay and feedback controlsEJ]. Nonlinear Anal...Real World Appl. , 2009,10- 2508- 2520.
  • 8CHEN Fengde. Permanence of a discrete N-species cooperation system with time delays and feedback controls[-J]. Applied Mathematics and Computation, 2007,186 (1) : 23-29.
  • 9LI Yongkun, ZHANG Tianwei. Permanence of a discrete-species cooperation system with time-varying delays and feedback controls[J]. Mathematical and Computer Modelling,2011,53(5/6) .. 1320-1330.
  • 10CHEN Liujuan,XIE Xiangdong. Permanence of a n-species cooperation system with continuous time de- lays and feedback controls[J]. Nonlinear Analysis:Real World Applications, 2011,12 (1).. 34-38.

共引文献9

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二级引证文献2

江南大学学报（自然科学版）
2015年 第3期

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