Periodic solutions of a delayed predator-prey model with stage structure for predator
A periodic time-dependent Lotka-Volterra-type predator-prey model with stage structure for the predator and time delays due to negative feedback and gestation is investigated. Sufficient conditions are derived, respectively, for the existence and global stability of positive periodic solutions to th...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X04308090 |
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| _version_ | 1832566142027169792 |
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| author | Rui Xu M. A. J. Chaplain F. A. Davidson |
| author_facet | Rui Xu M. A. J. Chaplain F. A. Davidson |
| author_sort | Rui Xu |
| collection | DOAJ |
| description | A periodic time-dependent Lotka-Volterra-type predator-prey model
with stage structure for the predator and time delays due to
negative feedback and gestation is investigated. Sufficient
conditions are derived, respectively, for the existence and global
stability of positive periodic solutions to the proposed model. |
| format | Article |
| id | doaj-art-7f961d8fbc2e430b92edc614f468d0fc |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-7f961d8fbc2e430b92edc614f468d0fc2025-02-03T01:04:56ZengWileyJournal of Applied Mathematics1110-757X1687-00422004-01-012004325527010.1155/S1110757X04308090Periodic solutions of a delayed predator-prey model with stage structure for predatorRui Xu0M. A. J. Chaplain1F. A. Davidson2Department of Mathematics, Institute of Shijiazhuang Mechanical Engineering, Hebei Province, Shijiazhuang 050003, ChinaDepartment of Mathematics, University of Dundee, Dundee DD1 4HN, UKDepartment of Mathematics, University of Dundee, Dundee DD1 4HN, UKA periodic time-dependent Lotka-Volterra-type predator-prey model with stage structure for the predator and time delays due to negative feedback and gestation is investigated. Sufficient conditions are derived, respectively, for the existence and global stability of positive periodic solutions to the proposed model.http://dx.doi.org/10.1155/S1110757X04308090 |
| spellingShingle | Rui Xu M. A. J. Chaplain F. A. Davidson Periodic solutions of a delayed predator-prey model with stage structure for predator Journal of Applied Mathematics |
| title | Periodic solutions of a delayed predator-prey model with stage structure for predator |
| title_full | Periodic solutions of a delayed predator-prey model with stage structure for predator |
| title_fullStr | Periodic solutions of a delayed predator-prey model with stage structure for predator |
| title_full_unstemmed | Periodic solutions of a delayed predator-prey model with stage structure for predator |
| title_short | Periodic solutions of a delayed predator-prey model with stage structure for predator |
| title_sort | periodic solutions of a delayed predator prey model with stage structure for predator |
| url | http://dx.doi.org/10.1155/S1110757X04308090 |
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