Extinction and permanence of two-nutrient and one-microorganism chemostat model with pulsed input
A chemostat model with periodically pulsed input is considered. By using the Floquet theorem, we find that the microorganism eradication periodic solution (u1∗(t),v1∗(t),0) is globally asymptotically stable if the impulsive period T is more than a critical value. At the same time we can find that th...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/DDNS/2006/38310 |
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| Summary: | A chemostat model with periodically pulsed input is considered. By
using the Floquet theorem, we find that the microorganism eradication
periodic solution (u1∗(t),v1∗(t),0) is globally asymptotically stable if the impulsive period T is more than a critical value. At the same time we can find that the nutrient and
microorganism are permanent if the impulsive period T is less than the critical value. |
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| ISSN: | 1026-0226 1607-887X |