具两系统切换的脉冲阶段结构单种群动力学模型研究  

A Single Population Dynamical System with Stage Structure and Two Switched Impulses

作　　者：李利梅[1] 焦建军[2] 

机构地区：[1]贵州财经大学继续教育学院,贵州贵阳550004 [2]贵州财经大学数学与统计学院,贵州贵阳550004

出　　处：《数学的实践与认识》2015年第11期303-308,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11361014;10961008);贵州省教育厅自然科学研究培育项目(2010027);贵州省科学技术基金(201052130)

摘　　要：建立具两系统切换脉冲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,得到系统种群灭绝与系统种群持续生存的控制阈值.结果表明脉冲收获与冬眠期对于系统种群持久起着重要作用,从而为现实的生物资源管理与生物多样性保护提供了可靠的策略依据.In this paper, we construct a single population dynamical model with stage struc- ture and two switched impulses. By the discrete dynamical system determined by the stro- boscopic map, we obtain the controlling thresholds of the permanence and extinction of this system. The results indicate that impulsive harvesting and hibernant play important roles in the permanence of population, and these also provide reliable tactic basis for the practical biological resource management.

关 键 词：切换系统 阶段结构 脉冲出生 脉冲收获 持久 

分 类 号：O175[理学—数学]