A Research on Nonendangered Population Protection Facing Biological Invasion
In nature, a biological invasion is a common phenomenon that often threatens the existence of local species. Getting rid of the invasive species is hard to achieve after its survival and reproduction. At present, killing some invasive ones and putting artificial local species are usual methods to pr...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/5976836 |
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| _version_ | 1832547044409999360 |
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| author | Meng Zhang Yi Zhao Mingjing Shi Xin Zhao |
| author_facet | Meng Zhang Yi Zhao Mingjing Shi Xin Zhao |
| author_sort | Meng Zhang |
| collection | DOAJ |
| description | In nature, a biological invasion is a common phenomenon that often threatens the existence of local species. Getting rid of the invasive species is hard to achieve after its survival and reproduction. At present, killing some invasive ones and putting artificial local species are usual methods to prevent local species from extinction. An ODE model is constructed to simulate the invasive procedure, and the protection policy is depicted as a series of impulses depending on the state of the variables. Both the ODEs and the impulses form a state feedback impulsive model which describes the invasion and protection together. The existence of homoclinic cycle and bifurcation of order-1 periodic solution of the impulsive model are discussed, and the orbitally asymptotical stability of the order-1 periodic solution is certificated with a novel method. Finally, the numerical simulation result is listed to confirm the theoretical work. |
| format | Article |
| id | doaj-art-d80a681ae6444f8f82eff63bb59b61b9 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-d80a681ae6444f8f82eff63bb59b61b92025-02-03T06:46:21ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/59768365976836A Research on Nonendangered Population Protection Facing Biological InvasionMeng Zhang0Yi Zhao1Mingjing Shi2Xin Zhao3School of Science, Beijing University of Civil Engineering and Architecture, Beijing, 100044, ChinaSchool of Science, Beijing University of Civil Engineering and Architecture, Beijing, 100044, ChinaSchool of Science, Beijing University of Civil Engineering and Architecture, Beijing, 100044, ChinaCanvard College, Beijing Technology and Business University, Beijing, 101118, ChinaIn nature, a biological invasion is a common phenomenon that often threatens the existence of local species. Getting rid of the invasive species is hard to achieve after its survival and reproduction. At present, killing some invasive ones and putting artificial local species are usual methods to prevent local species from extinction. An ODE model is constructed to simulate the invasive procedure, and the protection policy is depicted as a series of impulses depending on the state of the variables. Both the ODEs and the impulses form a state feedback impulsive model which describes the invasion and protection together. The existence of homoclinic cycle and bifurcation of order-1 periodic solution of the impulsive model are discussed, and the orbitally asymptotical stability of the order-1 periodic solution is certificated with a novel method. Finally, the numerical simulation result is listed to confirm the theoretical work.http://dx.doi.org/10.1155/2020/5976836 |
| spellingShingle | Meng Zhang Yi Zhao Mingjing Shi Xin Zhao A Research on Nonendangered Population Protection Facing Biological Invasion Complexity |
| title | A Research on Nonendangered Population Protection Facing Biological Invasion |
| title_full | A Research on Nonendangered Population Protection Facing Biological Invasion |
| title_fullStr | A Research on Nonendangered Population Protection Facing Biological Invasion |
| title_full_unstemmed | A Research on Nonendangered Population Protection Facing Biological Invasion |
| title_short | A Research on Nonendangered Population Protection Facing Biological Invasion |
| title_sort | research on nonendangered population protection facing biological invasion |
| url | http://dx.doi.org/10.1155/2020/5976836 |
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