Dynamical Analysis of a Delayed Predator-Prey System with Birth Pulse and Impulsive Harvesting at Different Moments
<p/> <p>We consider a delayed Holling type II predator-prey system with birth pulse and impulsive harvesting on predator population at different moments. Firstly, we prove that all solutions of the investigated system are uniformly ultimately bounded. Secondly, the conditions of the glob...
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| Format: | Article |
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SpringerOpen
2010-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2010/954684 |
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doaj-27c0bb1e03a748189e1003f31de55d682020-11-25T01:39:17ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472010-01-0120101954684Dynamical Analysis of a Delayed Predator-Prey System with Birth Pulse and Impulsive Harvesting at Different MomentsChen LansunJiao Jianjun<p/> <p>We consider a delayed Holling type II predator-prey system with birth pulse and impulsive harvesting on predator population at different moments. Firstly, we prove that all solutions of the investigated system are uniformly ultimately bounded. Secondly, the conditions of the globally attractive prey-extinction boundary periodic solution of the investigated system are obtained. Finally, the permanence of the investigated system is also obtained. Our results provide reliable tactic basis for the practical biological economics management.</p> http://www.advancesindifferenceequations.com/content/2010/954684 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Chen Lansun Jiao Jianjun |
| spellingShingle |
Chen Lansun Jiao Jianjun Dynamical Analysis of a Delayed Predator-Prey System with Birth Pulse and Impulsive Harvesting at Different Moments Advances in Difference Equations |
| author_facet |
Chen Lansun Jiao Jianjun |
| author_sort |
Chen Lansun |
| title |
Dynamical Analysis of a Delayed Predator-Prey System with Birth Pulse and Impulsive Harvesting at Different Moments |
| title_short |
Dynamical Analysis of a Delayed Predator-Prey System with Birth Pulse and Impulsive Harvesting at Different Moments |
| title_full |
Dynamical Analysis of a Delayed Predator-Prey System with Birth Pulse and Impulsive Harvesting at Different Moments |
| title_fullStr |
Dynamical Analysis of a Delayed Predator-Prey System with Birth Pulse and Impulsive Harvesting at Different Moments |
| title_full_unstemmed |
Dynamical Analysis of a Delayed Predator-Prey System with Birth Pulse and Impulsive Harvesting at Different Moments |
| title_sort |
dynamical analysis of a delayed predator-prey system with birth pulse and impulsive harvesting at different moments |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1839 1687-1847 |
| publishDate |
2010-01-01 |
| description |
<p/> <p>We consider a delayed Holling type II predator-prey system with birth pulse and impulsive harvesting on predator population at different moments. Firstly, we prove that all solutions of the investigated system are uniformly ultimately bounded. Secondly, the conditions of the globally attractive prey-extinction boundary periodic solution of the investigated system are obtained. Finally, the permanence of the investigated system is also obtained. Our results provide reliable tactic basis for the practical biological economics management.</p> |
| url |
http://www.advancesindifferenceequations.com/content/2010/954684 |
| work_keys_str_mv |
AT chenlansun dynamicalanalysisofadelayedpredatorpreysystemwithbirthpulseandimpulsiveharvestingatdifferentmoments AT jiaojianjun dynamicalanalysisofadelayedpredatorpreysystemwithbirthpulseandimpulsiveharvestingatdifferentmoments |
| _version_ |
1725049568046874624 |