Multiple Periodic Solutions of Delayed Predator-Prey Systems with Type IV Functional Responses on Time Scales
With the help of a continuation theorem based on Gaines and Mawhin's coincidence degree, easily verifiable criteria are established for the existence of multiple positive periodic solutions of delayed predator-prey systems with type IV functional responses on time scales. Our results not only u...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/271672 |
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| _version_ | 1832549426377261056 |
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| author | Shengbin Yu Haihui Wu Jiangbin Chen |
| author_facet | Shengbin Yu Haihui Wu Jiangbin Chen |
| author_sort | Shengbin Yu |
| collection | DOAJ |
| description | With the help of a continuation theorem based on Gaines and Mawhin's coincidence degree, easily verifiable criteria are established for the existence of multiple positive periodic solutions of delayed predator-prey systems with type IV functional responses on time scales. Our results not only unify the existing ones but also widen the range of applications. |
| format | Article |
| id | doaj-art-2941a2c7a7854e4391eb26958a246e4b |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-2941a2c7a7854e4391eb26958a246e4b2025-02-03T06:11:16ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/271672271672Multiple Periodic Solutions of Delayed Predator-Prey Systems with Type IV Functional Responses on Time ScalesShengbin Yu0Haihui Wu1Jiangbin Chen2Sunshine College, Fuzhou University, Fujian, Fuzhou 350015, ChinaSunshine College, Fuzhou University, Fujian, Fuzhou 350015, ChinaZhicheng College, Fuzhou University, Fujian, Fuzhou 350002, ChinaWith the help of a continuation theorem based on Gaines and Mawhin's coincidence degree, easily verifiable criteria are established for the existence of multiple positive periodic solutions of delayed predator-prey systems with type IV functional responses on time scales. Our results not only unify the existing ones but also widen the range of applications.http://dx.doi.org/10.1155/2012/271672 |
| spellingShingle | Shengbin Yu Haihui Wu Jiangbin Chen Multiple Periodic Solutions of Delayed Predator-Prey Systems with Type IV Functional Responses on Time Scales Discrete Dynamics in Nature and Society |
| title | Multiple Periodic Solutions of Delayed Predator-Prey Systems with Type IV Functional Responses on Time Scales |
| title_full | Multiple Periodic Solutions of Delayed Predator-Prey Systems with Type IV Functional Responses on Time Scales |
| title_fullStr | Multiple Periodic Solutions of Delayed Predator-Prey Systems with Type IV Functional Responses on Time Scales |
| title_full_unstemmed | Multiple Periodic Solutions of Delayed Predator-Prey Systems with Type IV Functional Responses on Time Scales |
| title_short | Multiple Periodic Solutions of Delayed Predator-Prey Systems with Type IV Functional Responses on Time Scales |
| title_sort | multiple periodic solutions of delayed predator prey systems with type iv functional responses on time scales |
| url | http://dx.doi.org/10.1155/2012/271672 |
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