CAJ | 학술논문

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.
연구료일류대주기맥충수입적항화기모형.이용Floquet승자이론,아문득도료여과R1＜1,나요미생물멸절주기해시전국점근은정적.동시득도당R2＞1시,계통시지속생존적.통과분석득도맥충효응파배련속계통적평형점산생료주기해.저사결론능구용우미생물적배양.
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 axe permanent if R2＞1. This results can be applied to culture the microorganisms.