On the Study of Chemostat Model with Pulsed Input in a Polluted Environment
Chemostat model with pulsed input in a polluted environment is considered. By using the Floquet theorem, we find that the microorganism eradication periodic solution is globally asymptotically stable if the impulsive period T is more than a critical value. At the same time, we can find that the nutr...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2007/90158 |
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| _version_ | 1832558252383010816 |
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| author | Zhong Zhao Xinyu Song |
| author_facet | Zhong Zhao Xinyu Song |
| author_sort | Zhong Zhao |
| collection | DOAJ |
| description | Chemostat model with pulsed input in a polluted environment is considered. By using the Floquet theorem, we find that the microorganism eradication periodic solution 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. |
| format | Article |
| id | doaj-art-799307f10c20445b96ea5158f83821fe |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-799307f10c20445b96ea5158f83821fe2025-02-03T01:32:54ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2007-01-01200710.1155/2007/9015890158On the Study of Chemostat Model with Pulsed Input in a Polluted EnvironmentZhong Zhao0Xinyu Song1Department of Mathematics, Huanghuai University, Henan, Zhumadian 463000, ChinaDepartment of Mathematics, Xinyang Normal University, Henan, Xinyang 464000, ChinaChemostat model with pulsed input in a polluted environment is considered. By using the Floquet theorem, we find that the microorganism eradication periodic solution 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.http://dx.doi.org/10.1155/2007/90158 |
| spellingShingle | Zhong Zhao Xinyu Song On the Study of Chemostat Model with Pulsed Input in a Polluted Environment Discrete Dynamics in Nature and Society |
| title | On the Study of Chemostat Model with Pulsed Input in a Polluted Environment |
| title_full | On the Study of Chemostat Model with Pulsed Input in a Polluted Environment |
| title_fullStr | On the Study of Chemostat Model with Pulsed Input in a Polluted Environment |
| title_full_unstemmed | On the Study of Chemostat Model with Pulsed Input in a Polluted Environment |
| title_short | On the Study of Chemostat Model with Pulsed Input in a Polluted Environment |
| title_sort | on the study of chemostat model with pulsed input in a polluted environment |
| url | http://dx.doi.org/10.1155/2007/90158 |
| work_keys_str_mv | AT zhongzhao onthestudyofchemostatmodelwithpulsedinputinapollutedenvironment AT xinyusong onthestudyofchemostatmodelwithpulsedinputinapollutedenvironment |