Permanence of a predator–prey discrete system with Holling-IV functional response and distributed delays
A predator–prey discrete-time model with Holling-IV functional response and distributed delays is investigated in this paper. By using the comparison theorem of the difference equation and some analysis technique, some sufficient conditions are obtained for the permanence of the discrete predator–pr...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2016-01-01
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| Series: | Journal of Biological Dynamics |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/17513758.2015.1099750 |
| _version_ | 1819015448370348032 |
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| author | X. Zhang Z. Wu T. Zhou |
| author_facet | X. Zhang Z. Wu T. Zhou |
| author_sort | X. Zhang |
| collection | DOAJ |
| description | A predator–prey discrete-time model with Holling-IV functional response and distributed delays is investigated in this paper. By using the comparison theorem of the difference equation and some analysis technique, some sufficient conditions are obtained for the permanence of the discrete predator–prey system. Two examples are given to illustrate the feasibility of the obtained result. |
| first_indexed | 2024-12-21T02:31:54Z |
| format | Article |
| id | doaj.art-62bada3762c24065a916b8d3031f1b64 |
| institution | Directory Open Access Journal |
| issn | 1751-3758 1751-3766 |
| language | English |
| last_indexed | 2024-12-21T02:31:54Z |
| publishDate | 2016-01-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Biological Dynamics |
| spelling | doaj.art-62bada3762c24065a916b8d3031f1b642022-12-21T19:18:54ZengTaylor & Francis GroupJournal of Biological Dynamics1751-37581751-37662016-01-0110111710.1080/17513758.2015.10997501099750Permanence of a predator–prey discrete system with Holling-IV functional response and distributed delaysX. Zhang0Z. Wu1T. Zhou2Hunan Agricultural UniversityHunan Agricultural UniversityHunan Agricultural UniversityA predator–prey discrete-time model with Holling-IV functional response and distributed delays is investigated in this paper. By using the comparison theorem of the difference equation and some analysis technique, some sufficient conditions are obtained for the permanence of the discrete predator–prey system. Two examples are given to illustrate the feasibility of the obtained result.http://dx.doi.org/10.1080/17513758.2015.1099750discrete-time predator–prey systempermanencenon-monotonic functional responsedistributed delays |
| spellingShingle | X. Zhang Z. Wu T. Zhou Permanence of a predator–prey discrete system with Holling-IV functional response and distributed delays Journal of Biological Dynamics discrete-time predator–prey system permanence non-monotonic functional response distributed delays |
| title | Permanence of a predator–prey discrete system with Holling-IV functional response and distributed delays |
| title_full | Permanence of a predator–prey discrete system with Holling-IV functional response and distributed delays |
| title_fullStr | Permanence of a predator–prey discrete system with Holling-IV functional response and distributed delays |
| title_full_unstemmed | Permanence of a predator–prey discrete system with Holling-IV functional response and distributed delays |
| title_short | Permanence of a predator–prey discrete system with Holling-IV functional response and distributed delays |
| title_sort | permanence of a predator prey discrete system with holling iv functional response and distributed delays |
| topic | discrete-time predator–prey system permanence non-monotonic functional response distributed delays |
| url | http://dx.doi.org/10.1080/17513758.2015.1099750 |
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