Periodicity in a ratio-dependent predator-prey system with stage structure for predator
With the help of a continuation theorem based on Gaines and Mawhin's coincidence degree, easily verifiable criteria are established for the global existence of positive periodic solutions of a delayed ratio-dependent predator-prey system with stage structure for predator. The approach involves...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/JAM.2005.153 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832558532072833024 |
|---|---|
| author | Fengde Chen |
| author_facet | Fengde Chen |
| author_sort | Fengde Chen |
| 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 global existence of positive periodic solutions of a delayed ratio-dependent predator-prey system with stage structure for predator. The approach involves some new technique of priori estimate. For the system without delay, by constructing a suitable Lyapunov function, some sufficient conditions which guarantee the existence of a unique global attractive positive periodic solution are obtained. Those results have further applications in population dynamics. |
| format | Article |
| id | doaj-art-627586115c824650bd16024faa89e5cf |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-627586115c824650bd16024faa89e5cf2025-02-03T01:32:12ZengWileyJournal of Applied Mathematics1110-757X1687-00422005-01-012005215316910.1155/JAM.2005.153Periodicity in a ratio-dependent predator-prey system with stage structure for predatorFengde Chen0College of Mathematics and Computer Science, 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 global existence of positive periodic solutions of a delayed ratio-dependent predator-prey system with stage structure for predator. The approach involves some new technique of priori estimate. For the system without delay, by constructing a suitable Lyapunov function, some sufficient conditions which guarantee the existence of a unique global attractive positive periodic solution are obtained. Those results have further applications in population dynamics.http://dx.doi.org/10.1155/JAM.2005.153 |
| spellingShingle | Fengde Chen Periodicity in a ratio-dependent predator-prey system with stage structure for predator Journal of Applied Mathematics |
| title | Periodicity in a ratio-dependent predator-prey system with stage structure for predator |
| title_full | Periodicity in a ratio-dependent predator-prey system with stage structure for predator |
| title_fullStr | Periodicity in a ratio-dependent predator-prey system with stage structure for predator |
| title_full_unstemmed | Periodicity in a ratio-dependent predator-prey system with stage structure for predator |
| title_short | Periodicity in a ratio-dependent predator-prey system with stage structure for predator |
| title_sort | periodicity in a ratio dependent predator prey system with stage structure for predator |
| url | http://dx.doi.org/10.1155/JAM.2005.153 |
| work_keys_str_mv | AT fengdechen periodicityinaratiodependentpredatorpreysystemwithstagestructureforpredator |