Periodic Solutions for Gause-Type Ratio-Dependent Predator-Prey Systems with Delays on Time Scales
This paper is devoted to periodic Gause-type ratio-dependent predator-prey systems with monotonic or nonmonotonic numerical responses on time scales. By using a continuation theorem based on coincidence degree theory, we establish easily verifiable criteria for the existence of periodic solutions. I...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/368176 |
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| _version_ | 1832556999050526720 |
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| author | Xiaoquan Ding Hongyuan Liu Fengye Wang |
| author_facet | Xiaoquan Ding Hongyuan Liu Fengye Wang |
| author_sort | Xiaoquan Ding |
| collection | DOAJ |
| description | This paper is devoted to periodic Gause-type ratio-dependent predator-prey systems with monotonic or nonmonotonic numerical responses on time scales. By using a continuation theorem based on coincidence degree theory, we establish easily verifiable criteria for the existence of periodic solutions. In particular, our results improve and generalize some known ones. |
| format | Article |
| id | doaj-art-f8d2b16778b840668a4a6d3759beb02e |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-f8d2b16778b840668a4a6d3759beb02e2025-02-03T05:43:53ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/368176368176Periodic Solutions for Gause-Type Ratio-Dependent Predator-Prey Systems with Delays on Time ScalesXiaoquan Ding0Hongyuan Liu1Fengye Wang2School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, Henan 471023, ChinaSchool of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, Henan 471023, ChinaSchool of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, Henan 471023, ChinaThis paper is devoted to periodic Gause-type ratio-dependent predator-prey systems with monotonic or nonmonotonic numerical responses on time scales. By using a continuation theorem based on coincidence degree theory, we establish easily verifiable criteria for the existence of periodic solutions. In particular, our results improve and generalize some known ones.http://dx.doi.org/10.1155/2013/368176 |
| spellingShingle | Xiaoquan Ding Hongyuan Liu Fengye Wang Periodic Solutions for Gause-Type Ratio-Dependent Predator-Prey Systems with Delays on Time Scales Discrete Dynamics in Nature and Society |
| title | Periodic Solutions for Gause-Type Ratio-Dependent Predator-Prey Systems with Delays on Time Scales |
| title_full | Periodic Solutions for Gause-Type Ratio-Dependent Predator-Prey Systems with Delays on Time Scales |
| title_fullStr | Periodic Solutions for Gause-Type Ratio-Dependent Predator-Prey Systems with Delays on Time Scales |
| title_full_unstemmed | Periodic Solutions for Gause-Type Ratio-Dependent Predator-Prey Systems with Delays on Time Scales |
| title_short | Periodic Solutions for Gause-Type Ratio-Dependent Predator-Prey Systems with Delays on Time Scales |
| title_sort | periodic solutions for gause type ratio dependent predator prey systems with delays on time scales |
| url | http://dx.doi.org/10.1155/2013/368176 |
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