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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| Format: | Article |
| Language: | English |
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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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| _version_ | 1832555120759406592 |
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| author | Xinyu Song Zhong Zhao |
| author_facet | Xinyu Song Zhong Zhao |
| author_sort | Xinyu Song |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-95d58c70c1774d0da9029d7e693d5f05 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-95d58c70c1774d0da9029d7e693d5f052025-02-03T05:49:35ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2006-01-01200610.1155/DDNS/2006/3831038310Extinction and permanence of two-nutrient and one-microorganism chemostat model with pulsed inputXinyu Song0Zhong Zhao1Department of Mathematics, Xinyang Normal University, Xinyang, Henan, Henan 464000, ChinaDepartment of Mathematics, Huanghuai University, Xinyang, Zhumadian, Henan 463000, ChinaA 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.http://dx.doi.org/10.1155/DDNS/2006/38310 |
| spellingShingle | Xinyu Song Zhong Zhao Extinction and permanence of two-nutrient and one-microorganism chemostat model with pulsed input Discrete Dynamics in Nature and Society |
| title | Extinction and permanence of two-nutrient and one-microorganism chemostat model with pulsed input |
| title_full | Extinction and permanence of two-nutrient and one-microorganism chemostat model with pulsed input |
| title_fullStr | Extinction and permanence of two-nutrient and one-microorganism chemostat model with pulsed input |
| title_full_unstemmed | Extinction and permanence of two-nutrient and one-microorganism chemostat model with pulsed input |
| title_short | Extinction and permanence of two-nutrient and one-microorganism chemostat model with pulsed input |
| title_sort | extinction and permanence of two nutrient and one microorganism chemostat model with pulsed input |
| url | http://dx.doi.org/10.1155/DDNS/2006/38310 |
| work_keys_str_mv | AT xinyusong extinctionandpermanenceoftwonutrientandonemicroorganismchemostatmodelwithpulsedinput AT zhongzhao extinctionandpermanenceoftwonutrientandonemicroorganismchemostatmodelwithpulsedinput |