The Dynamics of an Age-structured Single-species Chemostat Model with Variable Coefficients and the Contribution to Resource

摘要：

In an ecosystem some populations not only consume the resource but also contribute themselves to the resource after senescence and other deaths and considered another source of resource. In view of these facts and based on whether the population individual is capable of reproduction, a single-species chemostat model with age structure and the contribution to resource is formulated and analyzed. We investigate the model by a threshold Ro which is defined through the spectral radius of a linear integral operator. The result indicate that population-eradication periodic solution is globally asymptotically stable if Ro<1,and the population persists if Ro>1.

关键词： Chemostat Two Stage-structure Global attractivity Uniform persistence

作者: Lili Zhang Yongzhen Pei Changguo Li

作者单位: School of Science,Tianjin Polytechnic University,Tianjin, 300160, China Department of Basic Science of Institute of Military Traffic, 300161, 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: 759-764

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）