Global bifurcation and stability of the unstirred chemostat model

摘要：

In this paper,a competition model between two species for two resources in the chemostat with the Beddington-DeAngelis functional response studied. The sufficient condition to the global bifurcation and stability of positive steady state solutions are obtained by the mathematical methods of bifurcation theory and perturbation technique. Finally, Some results of numerical simulations is presented to prove and complement the previous mathematical results by numerical computation method. Furthermore, the research result implies that two species in the biological environment can be coexistence after a long time.

关键词： chemostat bifurcation perturbation technique numerical simulations

作者: Xiaozhou Feng Na Wang Changtong Li Xiaoli Ma

作者单位: Department of Math. and Phys., Xian Technological University, Xian, Shaanxi 710062, P.R.China Department of Basic Courses, Xian Communication Institute, Xi an, Shaanxi 710106, P.R.China

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 67-74

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）