期刊文献+

单种群阶段结构的生育脉冲模型 被引量:12

Birth Pulse Model of A Single-Species with Stage-Strncture Squares Estimator is BLUE
原文传递
导出
摘要 本文研究单种群阶段结构生育脉冲的数学模型,通过研究其频闪映射所确定的离散动力系统,我们获得了生育脉冲的系统存在周期解及其稳定的阈值,阐述了阈值的生物意义. Birth pulese mathematical model of a single-species with Stage-structure is studied. By studying the discrete dynamical system determinded by stroboscopic map we obtain an exact periodic solutions of system with birth pulses and threshold for their stability. We give the biology meaning of the threshold.
作者 于书敏
出处 《数学的实践与认识》 CSCD 北大核心 2006年第4期23-28,共6页 Mathematics in Practice and Theory
关键词 阶段结构 生育脉冲 阈值 周期解 Stage-structure Birth pulse Threshold Periodic solution
  • 相关文献

参考文献11

  • 1Fredman H I, Wu J. Persistence and global asymptotical stability of single species dispersal models with stage structure[J]. Quart Appl Math, 1991, (49): 351-371. 被引量:1
  • 2Aiello W G, Freedman H I. Wu J. Analysis of a model representing stage structured population growth with state-dependent time delay[J]. SIAM Appl, Math. 1990, (52): 855-869. 被引量:1
  • 3Song X, Chen L. Modelling and analysis of a single species system with stage structure and harvesting[J]. Math Comput Modelling, 2002, (36): 67-82. 被引量:1
  • 4Shulgin B, Stone L, Agur Z. Pulse vaccination strategy in the SIR epidemic model[J]. Bull Math Biol, 1998,(44): 203-224. 被引量:1
  • 5Tang S Y, Chen L S. The periodic predator-prey Lotka-Volterra model with impulsive effect [J]. Journal of Mechanics in Medicine and Biology, 2002, (3): 267-296. 被引量:1
  • 6Lakmeche A, Arino O. Birfurcation of non trivial periodic solutions of impulsive differential equations arising chemotherapeutic treament[J]. Dynamics of Continous, Discrete and Impulsive Systems, 2000, (7): 265-287. 被引量:1
  • 7Bainov D. Simeonov P. Impulsive differential equations: periodic solutions and applications [J]. Pitman Monographs and Surveys in Pure and Applied Mathematics, 1993, (66). 被引量:1
  • 8Bainor D D, Simeonv P S. System with Implusive Offect: Stability, Theory And Application[M]. New York,John Wiley & Sons. 1989. 被引量:1
  • 9Panegya J C. A mathematical model of periodically pulsed chemotherapy: tumor recurrence anel metastasys in a competition environment[J]. Bulletion of Math, Biol, 1996, (58): 425-447. 被引量:1
  • 10Shulgin B, Stone L, Agur I. Pulse vaccination strategy in the SIR epidemic model[J]. Bulletion of Math, Biol,1998, (60): 1-26. 被引量:1

同被引文献29

引证文献12

二级引证文献14

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