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

作　　者：卢琨[1] 曹慧[1] 王莉[1] LU Kun CAO Hui WANG Li(School of Arts and Sciences . Shaanxi University of Science Technology, Xi＇an 710021, China)

机构地区：[1]陕西科技大学文理学院,陕西西安710021

出　　处：《陕西科技大学学报（自然科学版）》2017年第1期188-192,197,共6页Journal of Shaanxi University of Science & Technology

基　　金：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(15JK1081)

摘　　要：研究了一类单资源和两种微生物的时滞脉冲口腔系统的恒化器模型.利用脉冲微分方程比较定理、持久性理论和Floquet算子理论讨论了模型灭绝周期解的存在性;给出了灭绝周期解全局吸引性的临界条件;得到了系统持久性的充分条件.最后在满足条件θ1<1|θ2>1时,利用数值模拟结果说明本文的主要结论.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 of ft 〈C1 ｜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 

分 类 号：O175[理学—数学]