具冬眠与脉冲清淤的chemostat动力学模型研究  

Dynamics of a Chemostat Model with Hibernation and Impulsive Dredging

作　　者：刘莉[1] 焦建军[1] 李培 LIU Li;JIAO Jianjun;LI Pei(School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang 550025,China)

机构地区：[1]贵州财经大学数学与统计学院,贵州贵阳550025

出　　处：《信阳师范学院学报（自然科学版）》2021年第1期5-10,共6页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11761019);贵州省高层次创新型人才项目(20164035);贵州省教育厅群体创新项目(20175736-001)。

摘　　要：研究了一类具有冬眠和脉冲清淤的chemostat动力学模型.利用脉冲微分方程理论,得到了系统中微生物种群灭绝周期解全局渐近稳定性及系统持久性的充分条件.A chemostat model with hibernation and impulsive dredging is investigated.By the theory of impulsive differential equations,the conditions for the globally asymptotic stability of microorganism-extinction periodic solution and the permanence of the system were obtained.

关 键 词：种群冬眠 脉冲清淤 CHEMOSTAT模型 周期解 

分 类 号：O175.3[理学—基础数学]