毒素脉冲输入与种群脉冲出生切换阶段结构单种群动力学模型研究  

DYNAMICS OF A SWITCHED STAGE-STRUCTURED SINGLE POPULATION MODEL WITH PULSE INPUT TOXIN AND BIRTH PULSE

作　　者：焦建军 曾熙轩 李利梅[2] JIAO Jian-jun;ZENG Xi-xuan;LI Li-mei(School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang 550025,China;School of Continuous Education,Guizhou University of Finance and Economics,Guiyang 550025,China)

机构地区：[1]贵州财经大学数统学院,贵州贵阳550025 [2]贵州财经大学继续教育学院,贵州贵阳550025

出　　处：《数学杂志》2018年第6期1066-1074,共9页Journal of Mathematics

基　　金：国家自然科学基金(11761019; 11361014);贵州省高层次创新型人才项目(黔科合人才[2016]4035号);贵州省科技创新人才团队项目(黔科合平台人才[2017]5658)

摘　　要：本文研究了毒素脉冲输入与脉冲出生切换阶段结构单种群动力学模型.利用常微分方程及差分分析,获得了系统种群灭绝和持久生存的控制条件结果,为污染环境中的生物资源管理提供了可靠的管理策略.In this paper,we consider a stage-structured switched single population model with impulsive input toxin and birth pulse.By using ordinary di?erential equations and di?erence equations,we obtain the controlling conditions of extinct and permanence,which prove management tactics for biological resource in polluted environment.

关 键 词：环境毒素 脉冲出生 灭绝 持久 

分 类 号：O175.13[理学—数学]