Existence of a Nonautonomous SIR Epidemic Model with Age Structure
A nonautonomous SIR epidemic model with age structure is studied. Using integro-differential equation and a fixed point theorem, we prove the existence and uniqueness of a positive solution to this model. We conclude our results and discuss some problems to this model in the future. We simulate our...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2010-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://dx.doi.org/10.1155/2010/212858 |
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Article |
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doaj-2a30a15ce0e74bf3b4cf6beb4a857fb22020-11-25T00:21:31ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472010-01-01201010.1155/2010/212858Existence of a Nonautonomous SIR Epidemic Model with Age StructureJunyuan YangXiaoyan WangA nonautonomous SIR epidemic model with age structure is studied. Using integro-differential equation and a fixed point theorem, we prove the existence and uniqueness of a positive solution to this model. We conclude our results and discuss some problems to this model in the future. We simulate our analyzed results. http://dx.doi.org/10.1155/2010/212858 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Junyuan Yang Xiaoyan Wang |
| spellingShingle |
Junyuan Yang Xiaoyan Wang Existence of a Nonautonomous SIR Epidemic Model with Age Structure Advances in Difference Equations |
| author_facet |
Junyuan Yang Xiaoyan Wang |
| author_sort |
Junyuan Yang |
| title |
Existence of a Nonautonomous SIR Epidemic Model with Age Structure |
| title_short |
Existence of a Nonautonomous SIR Epidemic Model with Age Structure |
| title_full |
Existence of a Nonautonomous SIR Epidemic Model with Age Structure |
| title_fullStr |
Existence of a Nonautonomous SIR Epidemic Model with Age Structure |
| title_full_unstemmed |
Existence of a Nonautonomous SIR Epidemic Model with Age Structure |
| title_sort |
existence of a nonautonomous sir epidemic model with age structure |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1839 1687-1847 |
| publishDate |
2010-01-01 |
| description |
A nonautonomous SIR epidemic model with age structure is studied. Using integro-differential equation and a fixed point theorem, we prove the existence and uniqueness of a positive solution to this model. We conclude our results and discuss some problems to this model in the future. We simulate our analyzed results. |
| url |
http://dx.doi.org/10.1155/2010/212858 |
| work_keys_str_mv |
AT junyuanyang existenceofanonautonomoussirepidemicmodelwithagestructure AT xiaoyanwang existenceofanonautonomoussirepidemicmodelwithagestructure |
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