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| Content Provider | Springer Nature Link |
|---|---|
| Author | Liu, Zijian Zhong, Shouming Yin, Chun Chen, Wufan |
| Copyright Year | 2011 |
| Abstract | An impulsive reaction-diffusion periodic predator-prey system with ratio-dependent functional response is investigated in the present paper. Sufficient conditions for the ultimate boundedness and permanence of the predator-prey system are established based on the upper and lower solution method and comparison theory of differential equation. By constructing appropriate auxiliary function, the conditions for the existence of a unique globally stable positive periodic solution are also obtained. Some numerical examples are presented to verify our results. A discussion is given in the end of the paper. |
| Starting Page | 329 |
| Ending Page | 349 |
| Page Count | 21 |
| File Format | |
| ISSN | 01678019 |
| Journal | Acta Applicandae Mathematica |
| Volume Number | 115 |
| Issue Number | 3 |
| e-ISSN | 15729036 |
| Language | English |
| Publisher | Springer Netherlands |
| Publisher Date | 2011-07-21 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Reaction-diffusion Ratio-dependent functional response Predator-prey system Permanence Stability Mechanics Computer Science Mathematics Theoretical, Mathematical and Computational Physics Statistical Physics, Dynamical Systems and Complexity |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |
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