Stability and Hopf Bifurcation Analysis of a Vector-Borne Disease with Time Delay
A delay-differential modelling of vector-borne is investigated. Its dynamics are studied in terms of local analysis and Hopf bifurcation theory, and its linear stability and Hopf bifurcation are demonstrated by studying the characteristic equation. The stability and direction of Hopf bifurcation are...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/804204 |
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| _version_ | 1832545275331215360 |
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| author | Yuanyuan Chen Ya-Qing Bi |
| author_facet | Yuanyuan Chen Ya-Qing Bi |
| author_sort | Yuanyuan Chen |
| collection | DOAJ |
| description | A delay-differential modelling of vector-borne is investigated. Its dynamics are studied in terms of local analysis and Hopf bifurcation theory, and its linear stability and Hopf bifurcation are demonstrated by studying the characteristic equation. The stability and direction of Hopf bifurcation are determined by applying the normal form theory and the center manifold argument. |
| format | Article |
| id | doaj-art-f7629910393b4145880d2e3503d7d8e3 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f7629910393b4145880d2e3503d7d8e32025-02-03T07:26:18ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/804204804204Stability and Hopf Bifurcation Analysis of a Vector-Borne Disease with Time DelayYuanyuan Chen0Ya-Qing Bi1Department of Applied Mathematics, Zhongyuan University of Technology, Zhengzhou, Henan 450007, ChinaDepartment of Library, Chongqing Normal University, Chongqing 401331, ChinaA delay-differential modelling of vector-borne is investigated. Its dynamics are studied in terms of local analysis and Hopf bifurcation theory, and its linear stability and Hopf bifurcation are demonstrated by studying the characteristic equation. The stability and direction of Hopf bifurcation are determined by applying the normal form theory and the center manifold argument.http://dx.doi.org/10.1155/2014/804204 |
| spellingShingle | Yuanyuan Chen Ya-Qing Bi Stability and Hopf Bifurcation Analysis of a Vector-Borne Disease with Time Delay Journal of Applied Mathematics |
| title | Stability and Hopf Bifurcation Analysis of a Vector-Borne Disease with Time Delay |
| title_full | Stability and Hopf Bifurcation Analysis of a Vector-Borne Disease with Time Delay |
| title_fullStr | Stability and Hopf Bifurcation Analysis of a Vector-Borne Disease with Time Delay |
| title_full_unstemmed | Stability and Hopf Bifurcation Analysis of a Vector-Borne Disease with Time Delay |
| title_short | Stability and Hopf Bifurcation Analysis of a Vector-Borne Disease with Time Delay |
| title_sort | stability and hopf bifurcation analysis of a vector borne disease with time delay |
| url | http://dx.doi.org/10.1155/2014/804204 |
| work_keys_str_mv | AT yuanyuanchen stabilityandhopfbifurcationanalysisofavectorbornediseasewithtimedelay AT yaqingbi stabilityandhopfbifurcationanalysisofavectorbornediseasewithtimedelay |