Analysis of a Dengue Disease Model with Nonlinear Incidence
A dengue disease epidemic model with nonlinear incidence is formulated and analyzed. The equilibria and threshold of the model are found. The stability of the system is analyzed through a geometric approach to stability. The proposed model also exhibits backward bifurcation under suitable conditions...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/320581 |
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| _version_ | 1832550180292919296 |
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| author | Shu-Min Guo Xue-Zhi Li Mini Ghosh |
| author_facet | Shu-Min Guo Xue-Zhi Li Mini Ghosh |
| author_sort | Shu-Min Guo |
| collection | DOAJ |
| description | A dengue disease epidemic model with nonlinear incidence is formulated and analyzed. The equilibria and threshold of the model are found. The stability of the system is analyzed through a geometric approach to stability. The proposed model also exhibits backward bifurcation under suitable conditions on parameters. Our results imply that a nonlinear incidence produces rich dynamics and they should be studied carefully in order to analyze the spread of disease more accurately. Finally, numerical simulations are presented to illustrate the analytical findings. |
| format | Article |
| id | doaj-art-fb6d5c4a1e794ebcb99d7d7b533ab83f |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-fb6d5c4a1e794ebcb99d7d7b533ab83f2025-02-03T06:07:30ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/320581320581Analysis of a Dengue Disease Model with Nonlinear IncidenceShu-Min Guo0Xue-Zhi Li1Mini Ghosh2Department of Mathematics and Information Science, Shaoguan University, Shaoguan 512005, ChinaDepartment of Mathematics, Xinyang Normal University, Xinyang 464000, ChinaSchool of Advanced Sciences, VIT University, Chennai Campus, Chennai 600048, IndiaA dengue disease epidemic model with nonlinear incidence is formulated and analyzed. The equilibria and threshold of the model are found. The stability of the system is analyzed through a geometric approach to stability. The proposed model also exhibits backward bifurcation under suitable conditions on parameters. Our results imply that a nonlinear incidence produces rich dynamics and they should be studied carefully in order to analyze the spread of disease more accurately. Finally, numerical simulations are presented to illustrate the analytical findings.http://dx.doi.org/10.1155/2013/320581 |
| spellingShingle | Shu-Min Guo Xue-Zhi Li Mini Ghosh Analysis of a Dengue Disease Model with Nonlinear Incidence Discrete Dynamics in Nature and Society |
| title | Analysis of a Dengue Disease Model with Nonlinear Incidence |
| title_full | Analysis of a Dengue Disease Model with Nonlinear Incidence |
| title_fullStr | Analysis of a Dengue Disease Model with Nonlinear Incidence |
| title_full_unstemmed | Analysis of a Dengue Disease Model with Nonlinear Incidence |
| title_short | Analysis of a Dengue Disease Model with Nonlinear Incidence |
| title_sort | analysis of a dengue disease model with nonlinear incidence |
| url | http://dx.doi.org/10.1155/2013/320581 |
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