Travelling Waves of a Diffusive Epidemic Model with Latency and Relapse
An SEIR epidemic model with relapse and spatial diffusion is studied. By analyzing the corresponding characteristic equations, the local stability of each of the feasible steady states to this model is discussed. The existence of a travelling wave solution is established by using the technique of up...
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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/10.1155/2013/869603 |
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| _version_ | 1832553577944449024 |
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| author | Zhiping Wang Rui Xu |
| author_facet | Zhiping Wang Rui Xu |
| author_sort | Zhiping Wang |
| collection | DOAJ |
| description | An SEIR epidemic model with relapse and spatial diffusion is studied. By analyzing the corresponding characteristic equations, the local stability of each of the feasible steady states to this model is discussed. The existence of a travelling wave solution is established by using the technique of upper and lower solutions and Schauder's fixed point theorem. Numerical simulations are carried out to illustrate the main results. |
| format | Article |
| id | doaj-art-e0ecb310ad324b788ad784ebfaf997aa |
| 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-e0ecb310ad324b788ad784ebfaf997aa2025-02-03T05:53:48ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/869603869603Travelling Waves of a Diffusive Epidemic Model with Latency and RelapseZhiping Wang0Rui Xu1Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, ChinaInstitute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, ChinaAn SEIR epidemic model with relapse and spatial diffusion is studied. By analyzing the corresponding characteristic equations, the local stability of each of the feasible steady states to this model is discussed. The existence of a travelling wave solution is established by using the technique of upper and lower solutions and Schauder's fixed point theorem. Numerical simulations are carried out to illustrate the main results.http://dx.doi.org/10.1155/2013/869603 |
| spellingShingle | Zhiping Wang Rui Xu Travelling Waves of a Diffusive Epidemic Model with Latency and Relapse Discrete Dynamics in Nature and Society |
| title | Travelling Waves of a Diffusive Epidemic Model with Latency and Relapse |
| title_full | Travelling Waves of a Diffusive Epidemic Model with Latency and Relapse |
| title_fullStr | Travelling Waves of a Diffusive Epidemic Model with Latency and Relapse |
| title_full_unstemmed | Travelling Waves of a Diffusive Epidemic Model with Latency and Relapse |
| title_short | Travelling Waves of a Diffusive Epidemic Model with Latency and Relapse |
| title_sort | travelling waves of a diffusive epidemic model with latency and relapse |
| url | http://dx.doi.org/10.1155/2013/869603 |
| work_keys_str_mv | AT zhipingwang travellingwavesofadiffusiveepidemicmodelwithlatencyandrelapse AT ruixu travellingwavesofadiffusiveepidemicmodelwithlatencyandrelapse |