Stability and Uniform Boundedness for a Class of Anaerobic Digestion Ecological Models  

作　　者：李明奇 

机构地区：[1]School of Applied Mathematics, UESTC Chengdu 610054 China

出　　处：《Journal of Electronic Science and Technology of China》2004年第2期87-89,共3页中国电子科技（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No.60372012) and NSF of Chongqing (No.0831)

摘　　要：Stability, boundedness and persistence are three important aspects for an ecological model. In this paper, a further analysis of a class of anaerobic digestion ecological models is performed. Based on the Liupunov Method, the local stability of all equilibria in the system is got. According to the vector fields described by the system, the proof of the boundedness of the solution on the anaerobic digestion processes is completed in three steps. The method proposed in the discussion on the boundedness can be generalized to the similar problems. Results in this paper give information on how to run the ecological system well by adjusting the system parameters.Stability, boundedness and persistence are three important aspects for an ecological model. In this paper, a further analysis of a class of anaerobic digestion ecological models is performed. Based on the Liupunov Method, the local stability of all equilibria in the system is got. According to the vector fields described by the system, the proof of the boundedness of the solution on the anaerobic digestion processes is completed in three steps. The method proposed in the discussion on the boundedness can be generalized to the similar problems. Results in this paper give information on how to run the ecological system well by adjusting the system parameters.

关 键 词：anaerobic digestion processes ecological models of microbes STABILITY uniform Boundedness 

分 类 号：Q935[生物学—微生物学]