Positive Periodic Solutions of a Neutral Impulsive Predator-Prey Model
We investigate a ratio-dependent predator-prey model with Holling type III functional response based on system of neutral impulsive differential equations. Sufficient conditions for existence of positive periodic solutions are obtained by applying continuation theorem. Our main results demonstrate t...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/818506 |
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| _version_ | 1850106714023526400 |
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| author | Guirong Liu Xiaojuan Song |
| author_facet | Guirong Liu Xiaojuan Song |
| author_sort | Guirong Liu |
| collection | DOAJ |
| description | We investigate a ratio-dependent predator-prey model with Holling type III functional response based on system of neutral impulsive differential equations. Sufficient conditions for existence of positive periodic solutions are obtained by applying continuation theorem. Our main results demonstrate that under the suitable periodic impulse perturbations, the neutral impulsive system preserves the periodicity of the corresponding neutral system without impulse. In addition, our results can be applied to the corresponding system without impulsive effect, and thus, extend previous results. |
| format | Article |
| id | doaj-art-4de2ee5535814fa8a70f3146e8ba4ed8 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-4de2ee5535814fa8a70f3146e8ba4ed82025-08-20T02:38:46ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/818506818506Positive Periodic Solutions of a Neutral Impulsive Predator-Prey ModelGuirong Liu0Xiaojuan Song1School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi 030006, ChinaSchool of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi 030006, ChinaWe investigate a ratio-dependent predator-prey model with Holling type III functional response based on system of neutral impulsive differential equations. Sufficient conditions for existence of positive periodic solutions are obtained by applying continuation theorem. Our main results demonstrate that under the suitable periodic impulse perturbations, the neutral impulsive system preserves the periodicity of the corresponding neutral system without impulse. In addition, our results can be applied to the corresponding system without impulsive effect, and thus, extend previous results.http://dx.doi.org/10.1155/2015/818506 |
| spellingShingle | Guirong Liu Xiaojuan Song Positive Periodic Solutions of a Neutral Impulsive Predator-Prey Model Discrete Dynamics in Nature and Society |
| title | Positive Periodic Solutions of a Neutral Impulsive Predator-Prey Model |
| title_full | Positive Periodic Solutions of a Neutral Impulsive Predator-Prey Model |
| title_fullStr | Positive Periodic Solutions of a Neutral Impulsive Predator-Prey Model |
| title_full_unstemmed | Positive Periodic Solutions of a Neutral Impulsive Predator-Prey Model |
| title_short | Positive Periodic Solutions of a Neutral Impulsive Predator-Prey Model |
| title_sort | positive periodic solutions of a neutral impulsive predator prey model |
| url | http://dx.doi.org/10.1155/2015/818506 |
| work_keys_str_mv | AT guirongliu positiveperiodicsolutionsofaneutralimpulsivepredatorpreymodel AT xiaojuansong positiveperiodicsolutionsofaneutralimpulsivepredatorpreymodel |