污染环境中具有营养循环和周期脉冲输入的Chemotat模型的研究(英文)  

Dynamical Analysis of a Chemostat Model with Nutrient Recycling and Periodically Pulsed Input in a Polluted Environment

作　　者：王道雯[1] 曼合布拜·热合木[1] 吐娅[2] WANG Dao-wen;Mehbuba Rehim;Tuya(College of Mathematics and Systems Science,Xinjiang University,Urumqi,Xinjiang 830046,China;College of Medical Engineering and Technology,Xinjiang Medical University,Urumqi,Xinjiang 830002,China)

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046 [2]新疆医科大学医学工程技术学院,新疆乌鲁木齐830002

出　　处：《新疆大学学报（自然科学版）》2012年第1期66-74,共9页Journal of Xinjiang University(Natural Science Edition)

摘　　要：考虑了在污染环境中带有营养循环和周期脉冲输入的Chemostat模型.利用李雅普诺夫函数和脉冲微分方程的比较原理,得到了解的一致有界性和微生物周期解全局一致吸引的充分条件,通过引入新的研究方法确立了微生物的持久性和灭绝性的充要条件.In this paper, a Monod type chemostat model with nutrient recycling and periodically pulsed input in a polluted environment is considered. By providing mathematically rigorous analysis and research methods, the sufficient and necessary conditions for the extinction and permanence of the microorganisms are obtained. Furthermore, by using the Liapunov function method and the comparison of impulsive differential equation, the sufficient condition for the globally uniformly attractive of the model is established.

关 键 词：微生物模型 全局一致吸引 持久性 灭绝性 脉冲输入 

分 类 号：O175.13[理学—数学]