一种具有脉冲扰动的恒化器模型的动力学性质  

The Dynamical Behaviors of a Chemostat Model with Impulsive Perturbations

作　　者：向中义[1] 戴启学[2] 宋新宇[2] 

机构地区：[1]湖北民族学院数学系,湖北恩施445000 [2]信阳师范学院数学系,河南信阳464000

出　　处：《数学的实践与认识》2006年第9期238-243,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10471117);河南省高校杰出科研人才创新工程项目(2005KYCX017)

摘　　要：在这篇文章中,我们提出并分析了一个具有捕食者,食饵和既有周期脉冲输入又有周期脉冲输出营养液的恒化器模型.我们得到了一种微生物和营养液共存的周期解,同时,也得到两种微生物都绝灭的周期解,而且建立了周期解稳定的充分条件.最后,我们给出了一个简单的讨论.In this paper, we present and analyze a simple model for a chemostat with predator, prey and periodically pulsed input and washout suhstrate. We obtain the exact periodic solutions with positive concentrations of substrate and one of the microorganisms, and meanwhile we obtain also the two microorganisms extinction periodic solution, further, we establish sufficient conditions for the periodic solution is stable. Finally, a brief discussion of our restih is given.

关 键 词：恒化器 一种营养液两种微生物模型 脉冲扰动作用 

分 类 号：Q93-335[生物学—微生物学]