具脉冲出生与脉冲收获阶段结构单种群动力学模型

J4 ›› 2011, Vol. 49 ›› Issue (01): 6-10.

具脉冲出生与脉冲收获阶段结构单种群动力学模型

焦建军¹, 鲍磊¹, 陈兰荪²

1. 贵州省经济系统仿真重点实验室, 贵州财经学院数学与统计学院, 贵阳 550004;2. 中国科学院数学与系统科学研究院, 北京 100080

收稿日期:2010-07-13 出版日期:2011-01-26 发布日期:2011-02-19
通讯作者: 焦建军 E-mail:jiaojianjun05@126.com

Dynamics on a StageStructured Single Population Model with Birth Pulse and Impulsive Harvesting

JIAO Jianjun¹, BAO Lei¹, CHEN Lansun²

1. Guizhou Key Laboratory of Economic System Simulation, School of Mathematics and Statistics, Guizhou College of Finance &|Economics, Guiyang 550004, China|2. |Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China

Received:2010-07-13 Online:2011-01-26 Published:2011-02-19
Contact: JIAO Jianjun E-mail:jiaojianjun05@126.com

摘要/Abstract

摘要：

建立出生与收获在不同脉冲时刻的阶段结构单种群动力学模型, 利用离散动力系统频闪映射理论, 得到了生物资源管理控制阈值的充分条件, 并用数值仿真结果拟合了所得结论.

关键词: 脉冲出生, 脉冲收获, 阶段结构单种群模型

Abstract:

A stagestructured single population dynamic model for different impulsive stages was constructed and the sufficient condition of the biological resource management was obtained by the discrete dynamical system determined by the stroboscopic map. The numerical simulation fits the results of this paper.

Key words: birth pulse, impulsive harvesting, stagestructure single population model

中图分类号:

O175.2

焦建军, 鲍磊, 陈兰荪. 具脉冲出生与脉冲收获阶段结构单种群动力学模型[J]. J4, 2011, 49(01): 6-10.

JIAO Jian-Jun, BAO Lei, CHEN Lan-Sun. Dynamics on a StageStructured Single Population Model with Birth Pulse and Impulsive Harvesting[J]. J4, 2011, 49(01): 6-10.