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Volume 10, Issue 4, Article 93 |
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On the Estimation of Averages Over Infinite Intervals with an Application to Average Persistence in Population Models
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Authors: |
Sean Ellermeyer, |
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Keywords:
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Upper average, Lower average, Estimation of average value, Persistence, Average persistence, Non-autonomous population models, Chemostat. |
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Date Received:
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18/05/2009 |
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Date Accepted:
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20/10/2009 |
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Subject Codes: |
26D15, 37B55, 92D25.
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Editors: |
Pietro Cerone, |
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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.
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