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具有反馈控制和功能反应的两种群竞争系统的解的渐近性 被引量:2

Asymptotic behavior of solution in competitive system with feedback controls and functional reaction response
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摘要 讨论了具有反馈控制和功能反应的两种群竞争系统的解的渐近性质,获得了在一定条件下该种群持续生存的充分条件,以及该系统为周期系统时,存在全局渐近稳定的正周期解. This paper consider a nonautonomous system of two competing species with functional response and feedback controls. We prrove that the system can be persistent under some conditions and that if the system is a periodic system,then it has a strictly positive orbit which is globally asymptotically stable under the appropriate conditions.
出处 《纯粹数学与应用数学》 CSCD 2000年第3期66-70,共5页 Pure and Applied Mathematics
关键词 最终有界域 持续生存 反馈控制 功能反应 invariant set ultimately bounded region persistence feedback control functional reponse
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参考文献4

  • 1S. Ahmed, Convergence and ultimately bounded of the nonautonomous Vltera-Lotka competitive equation[J]. J, Math. Anal Appl. ,1987,127:377-387.
  • 2C. Alvaez and A. Lazer. An applition of topological degree to the periodic competing species problem[J].J. Austral Math. Soc Set B,1986,28:202-219.
  • 3S. Ahamd. On the nonautonomous Volterra-Lotka competition equations[J], J. Math, anal, appl.,1993,117:199-204.
  • 4L, S, Chert and J. Chen. Nonlinear Dynamical Systems in Biology [M].Beijing:Science Presj, 1993 (in Chinese).

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