带脉冲输入两种营养液和一种微生物横化器模型性质的研究

摘要

研究了一类带周期脉冲输入的恒化器模型.利用Floquet乘子理论,我们得到了如果R1＜1,那么微生物灭绝周期解是全局渐近稳定的.同时得到当R2＞1时,系统是持续生存的.通过分析得到脉冲效应破坏连续系统的平衡点产生了周期解.这些结论能够用于微生物的培养.%In this paper, a chemostat model with periodically pulsed input is considered.By using the Floquet theorem, it is shown that the microorganism eradication periodic solution (u*1(t);v*1(t), 0) is globally asymptotically stable if R1＜1.At the same time,it is shown that the nutrients and microorganism are permanent if R2＞1.This results can be applied to culture the microorganisms.