【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.更多还原

【Abstract】 An oral chemostat model with periodic pulse and time delay is discussed in this paper.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.更多还原