Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator
This paper studies the behavior of a predator-prey model with switching and stage-structure for predator. Bounded positive solution, equilibria, and stabilities are determined for the system of delay differential equation. By choosing the delay as a bifurcation parameter, it is shown that the positi...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2017/2653124 |
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| _version_ | 1832554712220565504 |
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| author | T. Suebcharoen |
| author_facet | T. Suebcharoen |
| author_sort | T. Suebcharoen |
| collection | DOAJ |
| description | This paper studies the behavior of a predator-prey model with switching and stage-structure for predator. Bounded positive solution, equilibria, and stabilities are determined for the system of delay differential equation. By choosing the delay as a bifurcation parameter, it is shown that the positive equilibrium can be destabilized through a Hopf bifurcation. Some numerical simulations are also given to illustrate our results. |
| format | Article |
| id | doaj-art-7021b96717c1475d8da65d1ea5d23efd |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-7021b96717c1475d8da65d1ea5d23efd2025-02-03T05:50:49ZengWileyInternational Journal of Differential Equations1687-96431687-96512017-01-01201710.1155/2017/26531242653124Analysis of a Predator-Prey Model with Switching and Stage-Structure for PredatorT. Suebcharoen0Center of Excellence in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandThis paper studies the behavior of a predator-prey model with switching and stage-structure for predator. Bounded positive solution, equilibria, and stabilities are determined for the system of delay differential equation. By choosing the delay as a bifurcation parameter, it is shown that the positive equilibrium can be destabilized through a Hopf bifurcation. Some numerical simulations are also given to illustrate our results.http://dx.doi.org/10.1155/2017/2653124 |
| spellingShingle | T. Suebcharoen Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator International Journal of Differential Equations |
| title | Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator |
| title_full | Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator |
| title_fullStr | Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator |
| title_full_unstemmed | Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator |
| title_short | Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator |
| title_sort | analysis of a predator prey model with switching and stage structure for predator |
| url | http://dx.doi.org/10.1155/2017/2653124 |
| work_keys_str_mv | AT tsuebcharoen analysisofapredatorpreymodelwithswitchingandstagestructureforpredator |