Department

Mathematics

Document Type

Article

Publication Date

2009

Abstract

We establish a general result for estimating the upper average of a continuous and bounded function over an infinite interval. As an application, we show that a previously studied model of microbial growth in a chemostat with time–varying nutrient input admits solutions (populations) that exhibit weak persistence but not weak average persistence.

Journal

Journal of Inequalities in Pure and Applied Mathematics

Journal ISSN

1443-5756

Volume

10

Issue

4

First Page

1

Last Page

8

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