Almost Periodic Solution of a Diffusive Mixed System with Time Delay and Type III Functional Response
A delayed predator-prey model with diffusion and competition is proposed. Some sufficient conditions on uniform persistence of the model have been obtained. By applying Liapunov-Razumikhin technique, we will point out, under almost periodic circumstances, a set of sufficient conditions that assure t...
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2008/706154 |
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| _version_ | 1850165748015562752 |
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| author | Qiong Liu |
| author_facet | Qiong Liu |
| author_sort | Qiong Liu |
| collection | DOAJ |
| description | A delayed predator-prey model with diffusion and competition is proposed. Some sufficient conditions on uniform persistence of the model have been obtained. By applying Liapunov-Razumikhin technique, we will point out, under almost periodic circumstances, a set of sufficient conditions that assure the existence and uniqueness of the positive almost periodic solution which is globally asymptotically stable. |
| format | Article |
| id | doaj-art-eacae92e0da2425a81b92818725c28b9 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-eacae92e0da2425a81b92818725c28b92025-08-20T02:21:39ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2008-01-01200810.1155/2008/706154706154Almost Periodic Solution of a Diffusive Mixed System with Time Delay and Type III Functional ResponseQiong Liu0Department of Mathematics and Computer Science, Guangxi Qinzhou University, Qinzhou, Guangxi 535000, ChinaA delayed predator-prey model with diffusion and competition is proposed. Some sufficient conditions on uniform persistence of the model have been obtained. By applying Liapunov-Razumikhin technique, we will point out, under almost periodic circumstances, a set of sufficient conditions that assure the existence and uniqueness of the positive almost periodic solution which is globally asymptotically stable.http://dx.doi.org/10.1155/2008/706154 |
| spellingShingle | Qiong Liu Almost Periodic Solution of a Diffusive Mixed System with Time Delay and Type III Functional Response Discrete Dynamics in Nature and Society |
| title | Almost Periodic Solution of a Diffusive Mixed System with Time Delay and Type III Functional Response |
| title_full | Almost Periodic Solution of a Diffusive Mixed System with Time Delay and Type III Functional Response |
| title_fullStr | Almost Periodic Solution of a Diffusive Mixed System with Time Delay and Type III Functional Response |
| title_full_unstemmed | Almost Periodic Solution of a Diffusive Mixed System with Time Delay and Type III Functional Response |
| title_short | Almost Periodic Solution of a Diffusive Mixed System with Time Delay and Type III Functional Response |
| title_sort | almost periodic solution of a diffusive mixed system with time delay and type iii functional response |
| url | http://dx.doi.org/10.1155/2008/706154 |
| work_keys_str_mv | AT qiongliu almostperiodicsolutionofadiffusivemixedsystemwithtimedelayandtypeiiifunctionalresponse |