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| Content Provider | Springer Nature Link |
|---|---|
| Author | Wan, A ying Song, Zhi qiang Zheng, Li fei |
| Copyright Year | 2016 |
| Abstract | In this paper, a diffusive predator-prey system of Holling type functional III is considered. For one hand, we considered the possibility of the occurrence of Turing patterns of the system. Our results show that there is no Turing patterns found in the system. On the other hand, we performed detailed Hopf bifurcation analysis to the systems, and showed that the system have multiple oscillatory patterns. Moreover, we also derived the conditions to determine the Hopf bifurcation direction and the stability of the bifurcating periodic solutions. Computer simulations are included to support our theoretical analysis. |
| Ending Page | 1086 |
| Page Count | 14 |
| Starting Page | 1073 |
| File Format | |
| ISSN | 01689673 |
| e-ISSN | 16183932 |
| Journal | Acta Mathematicae Applicatae Sinica |
| Issue Number | 4 |
| Volume Number | 32 |
| Language | English |
| Publisher | Springer Berlin Heidelberg |
| Publisher Date | 2016-10-01 |
| Publisher Place | Berlin, Heidelberg |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Population dynamics (general) diffusive predator-prey system Periodic solutions Theoretical, Mathematical and Computational Physics turing instability Bifurcation Hholling type functional response Ecology Reaction-diffusion equations Applications of Mathematics Math Applications in Computer Science Hopf bifurcation |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |
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