首页 | 本学科首页   官方微博 | 高级检索  
     


Dynamics of a Model of Allelopathy and Bacteriocin with a Single Mutation
Authors:Zou Lan  Chen Xingwu  Ruan Shigui  Zhang Weinian
Affiliation:Yangtze Center of Mathematics and Departmant of Mathematics Sichuan University, Chengdu, Sichuan 610064, P. R. China.
Abstract:In this paper we discuss a model of allelopathy and bacteriocin in the chemostat with a wild-type organism and a single mutant. Dynamical properties of this model show the basic competition between two microorganisms. A qualitative analysis about the boundary equilibrium, a state that microorganisms both vanish, is carried out. The existence and uniqueness of the interior equilibrium are proved by a technical reduction to the singularity of a matrix. Its dynamical properties are given by using the index theory of equilibria. We further discuss its bifurcations. Our results are demonstrated by numerical simulations.
Keywords:
本文献已被 ScienceDirect PubMed 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号