A Viral Infection Model with a Nonlinear Infection Rate
A viral infection model with a nonlinear infection rate is constructed based on empirical evidences. Qualitative analysis shows that there is a degenerate singular infection equilibrium. Furthermore, bifurcation of cusp-type with codimension two (i.e., Bogdanov-Takens bifurcation) is confirmed under...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://dx.doi.org/10.1155/2009/958016 |
| _version_ | 1819085751383490560 |
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| author | Yumei Yu Juan J. Nieto Angela Torres Kaifa Wang |
| author_facet | Yumei Yu Juan J. Nieto Angela Torres Kaifa Wang |
| author_sort | Yumei Yu |
| collection | DOAJ |
| description | A viral infection model with a nonlinear infection rate is constructed based on empirical evidences. Qualitative analysis shows that there is a degenerate singular infection equilibrium. Furthermore, bifurcation of cusp-type with codimension two (i.e., Bogdanov-Takens bifurcation) is confirmed under appropriate conditions. As a result, the rich dynamical behaviors indicate that the model can display an Allee effect and fluctuation effect, which are important for making strategies for controlling the invasion of virus. |
| first_indexed | 2024-12-21T21:09:20Z |
| format | Article |
| id | doaj.art-5965a6ddee4d4f3b8fd099494cbb0db9 |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-12-21T21:09:20Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-5965a6ddee4d4f3b8fd099494cbb0db92022-12-21T18:50:11ZengSpringerOpenBoundary Value Problems1687-27621687-27702009-01-01200910.1155/2009/958016A Viral Infection Model with a Nonlinear Infection RateYumei YuJuan J. NietoAngela TorresKaifa WangA viral infection model with a nonlinear infection rate is constructed based on empirical evidences. Qualitative analysis shows that there is a degenerate singular infection equilibrium. Furthermore, bifurcation of cusp-type with codimension two (i.e., Bogdanov-Takens bifurcation) is confirmed under appropriate conditions. As a result, the rich dynamical behaviors indicate that the model can display an Allee effect and fluctuation effect, which are important for making strategies for controlling the invasion of virus.http://dx.doi.org/10.1155/2009/958016 |
| spellingShingle | Yumei Yu Juan J. Nieto Angela Torres Kaifa Wang A Viral Infection Model with a Nonlinear Infection Rate Boundary Value Problems |
| title | A Viral Infection Model with a Nonlinear Infection Rate |
| title_full | A Viral Infection Model with a Nonlinear Infection Rate |
| title_fullStr | A Viral Infection Model with a Nonlinear Infection Rate |
| title_full_unstemmed | A Viral Infection Model with a Nonlinear Infection Rate |
| title_short | A Viral Infection Model with a Nonlinear Infection Rate |
| title_sort | viral infection model with a nonlinear infection rate |
| url | http://dx.doi.org/10.1155/2009/958016 |
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