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.