Existence and global stability of positive periodic solutions of a discrete predator-prey system with delays
<p/> <p>We study the existence and global stability of positive periodic solutions of a periodic discrete predator-prey system with delay and Holling type III functional response. By using the continuation theorem of coincidence degree theory and the method of Lyapunov functional, some s...
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| Format: | Article |
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SpringerOpen
2004-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2004/739439 |
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doaj-c344d89ae1154c30976e0f106c2914eb2020-11-24T21:44:28ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472004-01-0120044739439Existence and global stability of positive periodic solutions of a discrete predator-prey system with delaysLi Wan-TongZhao Pei-HaoWang Lin-Lin<p/> <p>We study the existence and global stability of positive periodic solutions of a periodic discrete predator-prey system with delay and Holling type III functional response. By using the continuation theorem of coincidence degree theory and the method of Lyapunov functional, some sufficient conditions are obtained.</p>http://www.advancesindifferenceequations.com/content/2004/739439 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Li Wan-Tong Zhao Pei-Hao Wang Lin-Lin |
| spellingShingle |
Li Wan-Tong Zhao Pei-Hao Wang Lin-Lin Existence and global stability of positive periodic solutions of a discrete predator-prey system with delays Advances in Difference Equations |
| author_facet |
Li Wan-Tong Zhao Pei-Hao Wang Lin-Lin |
| author_sort |
Li Wan-Tong |
| title |
Existence and global stability of positive periodic solutions of a discrete predator-prey system with delays |
| title_short |
Existence and global stability of positive periodic solutions of a discrete predator-prey system with delays |
| title_full |
Existence and global stability of positive periodic solutions of a discrete predator-prey system with delays |
| title_fullStr |
Existence and global stability of positive periodic solutions of a discrete predator-prey system with delays |
| title_full_unstemmed |
Existence and global stability of positive periodic solutions of a discrete predator-prey system with delays |
| title_sort |
existence and global stability of positive periodic solutions of a discrete predator-prey system with delays |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1839 1687-1847 |
| publishDate |
2004-01-01 |
| description |
<p/> <p>We study the existence and global stability of positive periodic solutions of a periodic discrete predator-prey system with delay and Holling type III functional response. By using the continuation theorem of coincidence degree theory and the method of Lyapunov functional, some sufficient conditions are obtained.</p> |
| url |
http://www.advancesindifferenceequations.com/content/2004/739439 |
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1725910076181446656 |