Analysis of a HBV Model with Diffusion and Time Delay
This paper discussed a hepatitis B virus infection with delay, spatial diffusion, and standard incidence function. The local stability of equilibrium is obtained via characteristic equations. By using comparison arguments, it is proved that if the basic reproduction number is less than unity, the in...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/578561 |
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| _version_ | 1832559964856516608 |
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| author | Noé Chan Chí Eric ÁvilaVales Gerardo García Almeida |
| author_facet | Noé Chan Chí Eric ÁvilaVales Gerardo García Almeida |
| author_sort | Noé Chan Chí |
| collection | DOAJ |
| description | This paper discussed a hepatitis B virus infection with delay, spatial diffusion, and standard incidence function. The local stability of equilibrium is obtained via characteristic equations. By using comparison arguments, it is proved that if the basic reproduction number is less than unity, the infection-free equilibrium is globally asymptotically stable. If the basic reproductive number is greater than unity, by means of an iteration technique, sufficiently conditions are obtained for the global asymptotic stability of the infected steady state. Numerical simulations are carried out to illustrate our findings. |
| format | Article |
| id | doaj-art-50a96efd3bc944a6933e78a02c481b7d |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-50a96efd3bc944a6933e78a02c481b7d2025-02-03T01:28:39ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/578561578561Analysis of a HBV Model with Diffusion and Time DelayNoé Chan Chí0Eric ÁvilaVales1Gerardo García Almeida2Facultad de Matemáticas, Universidad Autónoma de Yucatán, Anillo Periférico Norte, Tablaje Catastral 13615, Colonia Chuburna Hidalgo Inn, 97203 Mérida, YUC, MexicoFacultad de Matemáticas, Universidad Autónoma de Yucatán, Anillo Periférico Norte, Tablaje Catastral 13615, Colonia Chuburna Hidalgo Inn, 97203 Mérida, YUC, MexicoFacultad de Matemáticas, Universidad Autónoma de Yucatán, Anillo Periférico Norte, Tablaje Catastral 13615, Colonia Chuburna Hidalgo Inn, 97203 Mérida, YUC, MexicoThis paper discussed a hepatitis B virus infection with delay, spatial diffusion, and standard incidence function. The local stability of equilibrium is obtained via characteristic equations. By using comparison arguments, it is proved that if the basic reproduction number is less than unity, the infection-free equilibrium is globally asymptotically stable. If the basic reproductive number is greater than unity, by means of an iteration technique, sufficiently conditions are obtained for the global asymptotic stability of the infected steady state. Numerical simulations are carried out to illustrate our findings.http://dx.doi.org/10.1155/2012/578561 |
| spellingShingle | Noé Chan Chí Eric ÁvilaVales Gerardo García Almeida Analysis of a HBV Model with Diffusion and Time Delay Journal of Applied Mathematics |
| title | Analysis of a HBV Model with Diffusion and Time Delay |
| title_full | Analysis of a HBV Model with Diffusion and Time Delay |
| title_fullStr | Analysis of a HBV Model with Diffusion and Time Delay |
| title_full_unstemmed | Analysis of a HBV Model with Diffusion and Time Delay |
| title_short | Analysis of a HBV Model with Diffusion and Time Delay |
| title_sort | analysis of a hbv model with diffusion and time delay |
| url | http://dx.doi.org/10.1155/2012/578561 |
| work_keys_str_mv | AT noechanchi analysisofahbvmodelwithdiffusionandtimedelay AT ericavilavales analysisofahbvmodelwithdiffusionandtimedelay AT gerardogarciaalmeida analysisofahbvmodelwithdiffusionandtimedelay |