具有变消耗率和养分再生的脉冲恒化器模型  

Complex Dynamics of a Chemostat with Variable Yield and Nutrient Recycling

作　　者：陈妍[1] 张树文[1] 

机构地区：[1]集美大学理学院,福建厦门361021

出　　处：《集美大学学报（自然科学版）》2011年第5期384-388,共5页Journal of Jimei University：Natural Science

基　　金：福建省自然科学基金资助项目(2008J0199)

摘　　要：讨论具有可变营养消耗率和养分再生且周期输入的恒化器模型.利用脉冲微分方程的Floquet理论和小扰动定理找到了周期解的全局渐近稳定性,进而得到系统持续生存的充分条件.The dynamic behaviors of a mathematical chemostat model with variable yield and nutrient recycling and periodically impulsive perturbation on substrate were considered.Using Floquet theory and small amplitude perturbation method,the condition in which the boundary periodic solution was globally asymptotically stable was established.Moreover,the permanence of the system was discussed in detail.

关 键 词：恒化器系统 脉冲输入 持续生存 周期解 

分 类 号：O175.26[理学—数学]