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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
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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
机构地区 通化师范学院数学系
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
分类号 Q141 [生物学—生态学]
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参考文献10

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同被引文献29

  • 1赵立纯,张庆灵,杨启昌.具有阶段结构单种群系统的诱导控制[J].数学物理学报（A辑）,2005,25(5):710-717. 被引量：12
  • 2耿春梅,甘文珍,周桦.一类具有阶段结构的捕食模型的稳定性[J].扬州大学学报（自然科学版）,2006,9(1):9-14. 被引量：8
  • 3张树文,陈兰荪.具有密度依赖的生育脉冲单种群阶段结构模型[J].系统科学与数学,2006,26(6):752-760. 被引量：6
  • 4Aiello W G, Freedman H I. A Time Delay of Single-Species Growth with Stage Structure[J]. Math. Biosci, 1990,101:139-153.
  • 5Aiello W G,Freedman H l,Wu J. Analysis of a Model Representing Stage Structured Population Growth with State-Dependent Time Delay [J]. Siam Appl, Math 1990,22 : 855-869.
  • 6Cu Shng J M. An Introduction to Strctured Population Dynamics[M]. Philadelphia: SIAM, 1998.
  • 7Song X Y, Chen L S. Optimal harvesting policy for a two species competitive system with stage structure[J]. Mathematical Biosciences, 2001,179:173-186.
  • 8Clark C W. Mathematical Biocenology the Optimal Management of Renew Able Resource[M]. New York: John Wiley & Sons ,1990. 245-296.
  • 9Zhang X A, Chen L S, Neumann A. The stage structured predator prey model and optimal harvesting policy[J]. Mathematical Biosciences ,2000,168: 201-210.
  • 10Chen L S, Chen J. Nonlinear Biodynamical System[M]. Beijing: Science Press, 1993. 215-226.

引证文献12

二级引证文献14

数学的实践与认识
2006年 第4期

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