Bifurcation Analysis for a Delayed Predator-Prey System with Stage Structure
<p>Abstract</p> <p>A delayed predator-prey system with stage structure is investigated. The existence and stability of equilibria are obtained. An explicit algorithm for determining the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions is der...
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2010-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2010/527864 |
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doaj-1c81a0da545c4c80945335fddee260aa2020-11-24T22:59:56ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-0120101527864Bifurcation Analysis for a Delayed Predator-Prey System with Stage StructureJiang ZhichaoCheng Guangtao<p>Abstract</p> <p>A delayed predator-prey system with stage structure is investigated. The existence and stability of equilibria are obtained. An explicit algorithm for determining the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions is derived by using the normal form and the center manifold theory. Finally, a numerical example supporting the theoretical analysis is given.</p>http://www.fixedpointtheoryandapplications.com/content/2010/527864 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jiang Zhichao Cheng Guangtao |
| spellingShingle |
Jiang Zhichao Cheng Guangtao Bifurcation Analysis for a Delayed Predator-Prey System with Stage Structure Fixed Point Theory and Applications |
| author_facet |
Jiang Zhichao Cheng Guangtao |
| author_sort |
Jiang Zhichao |
| title |
Bifurcation Analysis for a Delayed Predator-Prey System with Stage Structure |
| title_short |
Bifurcation Analysis for a Delayed Predator-Prey System with Stage Structure |
| title_full |
Bifurcation Analysis for a Delayed Predator-Prey System with Stage Structure |
| title_fullStr |
Bifurcation Analysis for a Delayed Predator-Prey System with Stage Structure |
| title_full_unstemmed |
Bifurcation Analysis for a Delayed Predator-Prey System with Stage Structure |
| title_sort |
bifurcation analysis for a delayed predator-prey system with stage structure |
| publisher |
SpringerOpen |
| series |
Fixed Point Theory and Applications |
| issn |
1687-1820 1687-1812 |
| publishDate |
2010-01-01 |
| description |
<p>Abstract</p> <p>A delayed predator-prey system with stage structure is investigated. The existence and stability of equilibria are obtained. An explicit algorithm for determining the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions is derived by using the normal form and the center manifold theory. Finally, a numerical example supporting the theoretical analysis is given.</p> |
| url |
http://www.fixedpointtheoryandapplications.com/content/2010/527864 |
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AT jiangzhichao bifurcationanalysisforadelayedpredatorpreysystemwithstagestructure AT chengguangtao bifurcationanalysisforadelayedpredatorpreysystemwithstagestructure |
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1716382523017134080 |