陕西科技大学学报(自然科学版)2017,Vol.35Issue(1):188-192,197,6.
一类具有时滞脉冲的口腔恒化器模型的动力学性态分析
Analysis of a class of oral chemostat model with time delay and pulse input
摘要
Abstract
An oral chemostat model with periodic pulse and time delay is discussed in this pa-per.Using the comparison theorem of impulsive differential equations,persistence theory and floquet operator theory,the existence of the microorganism-free periodic solution is proved, which is globally attractive under some critical conditions.Moreover,the sufficient conditions on permanence of the system is obtained.Finally,under the condition ofθ1<1|θ2>1 ,some numerical simulations are given to illustrate the main results.关键词
口腔系统/恒化器模型/时滞/脉冲/持久性Key words
oral cavity system/chemostat model/delay/pulse/persistence分类
数理科学引用本文复制引用
卢琨,曹慧,王莉..一类具有时滞脉冲的口腔恒化器模型的动力学性态分析[J].陕西科技大学学报(自然科学版),2017,35(1):188-192,197,6.基金项目
国家自然科学基金项目(11301314);陕西省教育厅专项科研计划项目 ()