Multiple Periodic Solutions of a Ratio-Dependent Predator-Prey Discrete Model
A delayed ratio-dependent predator-prey discrete-time model with nonmonotone functional response is investigated in this paper. By using the continuation theorem of Mawhins coincidence degree theory, some new sufficient conditions are obtained for the existence of multiple positive periodic solution...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/713503 |
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| _version_ | 1832559494891044864 |
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| author | Tiejun Zhou Xiaolan Zhang Min Wang |
| author_facet | Tiejun Zhou Xiaolan Zhang Min Wang |
| author_sort | Tiejun Zhou |
| collection | DOAJ |
| description | A delayed ratio-dependent predator-prey discrete-time model with nonmonotone functional response is investigated in this paper. By using the continuation theorem of Mawhins coincidence degree theory, some new sufficient conditions are obtained for the existence of multiple positive periodic solutions of the discrete model. An example is given to illustrate the feasibility of the obtained result. |
| format | Article |
| id | doaj-art-83cb7b8517ed4115852403511037ba7f |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-83cb7b8517ed4115852403511037ba7f2025-02-03T01:29:58ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/713503713503Multiple Periodic Solutions of a Ratio-Dependent Predator-Prey Discrete ModelTiejun Zhou0Xiaolan Zhang1Min Wang2College of Science, Hunan Agricultural University, Changsha, Hunan 410128, ChinaCollege of Science, Hunan Agricultural University, Changsha, Hunan 410128, ChinaCollege of Science, Hunan Agricultural University, Changsha, Hunan 410128, ChinaA delayed ratio-dependent predator-prey discrete-time model with nonmonotone functional response is investigated in this paper. By using the continuation theorem of Mawhins coincidence degree theory, some new sufficient conditions are obtained for the existence of multiple positive periodic solutions of the discrete model. An example is given to illustrate the feasibility of the obtained result.http://dx.doi.org/10.1155/2012/713503 |
| spellingShingle | Tiejun Zhou Xiaolan Zhang Min Wang Multiple Periodic Solutions of a Ratio-Dependent Predator-Prey Discrete Model Discrete Dynamics in Nature and Society |
| title | Multiple Periodic Solutions of a Ratio-Dependent Predator-Prey Discrete Model |
| title_full | Multiple Periodic Solutions of a Ratio-Dependent Predator-Prey Discrete Model |
| title_fullStr | Multiple Periodic Solutions of a Ratio-Dependent Predator-Prey Discrete Model |
| title_full_unstemmed | Multiple Periodic Solutions of a Ratio-Dependent Predator-Prey Discrete Model |
| title_short | Multiple Periodic Solutions of a Ratio-Dependent Predator-Prey Discrete Model |
| title_sort | multiple periodic solutions of a ratio dependent predator prey discrete model |
| url | http://dx.doi.org/10.1155/2012/713503 |
| work_keys_str_mv | AT tiejunzhou multipleperiodicsolutionsofaratiodependentpredatorpreydiscretemodel AT xiaolanzhang multipleperiodicsolutionsofaratiodependentpredatorpreydiscretemodel AT minwang multipleperiodicsolutionsofaratiodependentpredatorpreydiscretemodel |