Global Dynamics for a Novel Differential Infectivity Epidemic Model with Stage Structure
A novel differential infectivity epidemic model with stage structure is formulated and studied. Under biological motivation, the stability of equilibria is investigated by the global Lyapunov functions. Some novel techniques are applied to the global dynamics analysis for the differential infectivit...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/4823815 |
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| _version_ | 1841524741511315456 |
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| author | Yunguo Jin |
| author_facet | Yunguo Jin |
| author_sort | Yunguo Jin |
| collection | DOAJ |
| description | A novel differential infectivity epidemic model with stage structure is formulated and studied. Under biological motivation, the stability of equilibria is investigated by the global Lyapunov functions. Some novel techniques are applied to the global dynamics analysis for the differential infectivity epidemic model. Uniform persistence and the sharp threshold dynamics are established; that is, the reproduction number determines the global dynamics of the system. Finally, numerical simulations are given to illustrate the main theoretical results. |
| format | Article |
| id | doaj-art-a93d8c707ecf4bcda8339d264ce17b70 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-a93d8c707ecf4bcda8339d264ce17b702025-02-03T05:47:32ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/48238154823815Global Dynamics for a Novel Differential Infectivity Epidemic Model with Stage StructureYunguo Jin0School of Statistics, Chengdu University of Information Technology, Chengdu, Sichuan 610103, ChinaA novel differential infectivity epidemic model with stage structure is formulated and studied. Under biological motivation, the stability of equilibria is investigated by the global Lyapunov functions. Some novel techniques are applied to the global dynamics analysis for the differential infectivity epidemic model. Uniform persistence and the sharp threshold dynamics are established; that is, the reproduction number determines the global dynamics of the system. Finally, numerical simulations are given to illustrate the main theoretical results.http://dx.doi.org/10.1155/2016/4823815 |
| spellingShingle | Yunguo Jin Global Dynamics for a Novel Differential Infectivity Epidemic Model with Stage Structure Discrete Dynamics in Nature and Society |
| title | Global Dynamics for a Novel Differential Infectivity Epidemic Model with Stage Structure |
| title_full | Global Dynamics for a Novel Differential Infectivity Epidemic Model with Stage Structure |
| title_fullStr | Global Dynamics for a Novel Differential Infectivity Epidemic Model with Stage Structure |
| title_full_unstemmed | Global Dynamics for a Novel Differential Infectivity Epidemic Model with Stage Structure |
| title_short | Global Dynamics for a Novel Differential Infectivity Epidemic Model with Stage Structure |
| title_sort | global dynamics for a novel differential infectivity epidemic model with stage structure |
| url | http://dx.doi.org/10.1155/2016/4823815 |
| work_keys_str_mv | AT yunguojin globaldynamicsforanoveldifferentialinfectivityepidemicmodelwithstagestructure |