Mathematical Analysis for a Discrete Predator-Prey Model with Time Delay and Holling II Functional Response
This paper is concerned with a discrete predator-prey model with Holling II functional response and delays. Applying Gaines and Mawhin’s continuation theorem of coincidence degree theory and the method of Lyapunov function, we obtain some sufficient conditions for the existence global asymptotic sta...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/797542 |
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| _version_ | 1832562464700497920 |
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| author | Dehong Ding Kui Fang Yang Zhao |
| author_facet | Dehong Ding Kui Fang Yang Zhao |
| author_sort | Dehong Ding |
| collection | DOAJ |
| description | This paper is concerned with a discrete predator-prey model with Holling II functional response and delays. Applying Gaines and Mawhin’s continuation theorem of coincidence degree theory and the method of Lyapunov function, we obtain some sufficient conditions for the existence global asymptotic stability of positive periodic solutions of the model. |
| format | Article |
| id | doaj-art-447aabb9a2ab4b92a3979d2ba9382963 |
| institution | Kabale University |
| 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-447aabb9a2ab4b92a3979d2ba93829632025-02-03T01:22:29ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/797542797542Mathematical Analysis for a Discrete Predator-Prey Model with Time Delay and Holling II Functional ResponseDehong Ding0Kui Fang1Yang Zhao2College of Information Science and Technology, Hunan Agricultural University, Changsha 410128, ChinaCollege of Information Science and Technology, Hunan Agricultural University, Changsha 410128, ChinaDepartment of Electronic and Information Technology, Jiangmen Polytechnic, Jiangmen 529000, ChinaThis paper is concerned with a discrete predator-prey model with Holling II functional response and delays. Applying Gaines and Mawhin’s continuation theorem of coincidence degree theory and the method of Lyapunov function, we obtain some sufficient conditions for the existence global asymptotic stability of positive periodic solutions of the model.http://dx.doi.org/10.1155/2015/797542 |
| spellingShingle | Dehong Ding Kui Fang Yang Zhao Mathematical Analysis for a Discrete Predator-Prey Model with Time Delay and Holling II Functional Response Discrete Dynamics in Nature and Society |
| title | Mathematical Analysis for a Discrete Predator-Prey Model with Time Delay and Holling II Functional Response |
| title_full | Mathematical Analysis for a Discrete Predator-Prey Model with Time Delay and Holling II Functional Response |
| title_fullStr | Mathematical Analysis for a Discrete Predator-Prey Model with Time Delay and Holling II Functional Response |
| title_full_unstemmed | Mathematical Analysis for a Discrete Predator-Prey Model with Time Delay and Holling II Functional Response |
| title_short | Mathematical Analysis for a Discrete Predator-Prey Model with Time Delay and Holling II Functional Response |
| title_sort | mathematical analysis for a discrete predator prey model with time delay and holling ii functional response |
| url | http://dx.doi.org/10.1155/2015/797542 |
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