Stability Analysis of Hepatitis B Virus Model with Incomplete Immunization of HepB Vaccine
In this paper a HBV infection model with impulsive vaccination is considered. By using fixed point theorem and stroboscopic map we prove the existence of disease-free T-periodic solution. Also by comparative theorem of impulsive differential equation we get the global asymptotic stability of the dis...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/427639 |
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| _version_ | 1849405640858927104 |
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| author | Yan Cheng Qiuhui Pan Mingfeng He |
| author_facet | Yan Cheng Qiuhui Pan Mingfeng He |
| author_sort | Yan Cheng |
| collection | DOAJ |
| description | In this paper a HBV infection model with impulsive vaccination is considered. By using fixed point theorem and stroboscopic map we prove the existence of disease-free T-periodic solution. Also by comparative theorem of impulsive differential equation we get the global asymptotic stability of the disease-free periodic solution and permanence of the disease. Numerical simulations show the influence of parameters on the dynamics of HBV, which provided references for seeking optimal measures to control the transmission of HBV. |
| format | Article |
| id | doaj-art-51aa5070f6b0445eaf42ff4131036699 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-51aa5070f6b0445eaf42ff41310366992025-08-20T03:36:37ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/427639427639Stability Analysis of Hepatitis B Virus Model with Incomplete Immunization of HepB VaccineYan Cheng0Qiuhui Pan1Mingfeng He2School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaSchool of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaSchool of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaIn this paper a HBV infection model with impulsive vaccination is considered. By using fixed point theorem and stroboscopic map we prove the existence of disease-free T-periodic solution. Also by comparative theorem of impulsive differential equation we get the global asymptotic stability of the disease-free periodic solution and permanence of the disease. Numerical simulations show the influence of parameters on the dynamics of HBV, which provided references for seeking optimal measures to control the transmission of HBV.http://dx.doi.org/10.1155/2014/427639 |
| spellingShingle | Yan Cheng Qiuhui Pan Mingfeng He Stability Analysis of Hepatitis B Virus Model with Incomplete Immunization of HepB Vaccine Abstract and Applied Analysis |
| title | Stability Analysis of Hepatitis B Virus Model with Incomplete Immunization of HepB Vaccine |
| title_full | Stability Analysis of Hepatitis B Virus Model with Incomplete Immunization of HepB Vaccine |
| title_fullStr | Stability Analysis of Hepatitis B Virus Model with Incomplete Immunization of HepB Vaccine |
| title_full_unstemmed | Stability Analysis of Hepatitis B Virus Model with Incomplete Immunization of HepB Vaccine |
| title_short | Stability Analysis of Hepatitis B Virus Model with Incomplete Immunization of HepB Vaccine |
| title_sort | stability analysis of hepatitis b virus model with incomplete immunization of hepb vaccine |
| url | http://dx.doi.org/10.1155/2014/427639 |
| work_keys_str_mv | AT yancheng stabilityanalysisofhepatitisbvirusmodelwithincompleteimmunizationofhepbvaccine AT qiuhuipan stabilityanalysisofhepatitisbvirusmodelwithincompleteimmunizationofhepbvaccine AT mingfenghe stabilityanalysisofhepatitisbvirusmodelwithincompleteimmunizationofhepbvaccine |