Modeling Saturated Diagnosis and Vaccination in Reducing HIV/AIDS Infection
A mathematical model is proposed to consider the effects of saturated diagnosis and vaccination on HIV/AIDS infection. By employing center manifold theory, we prove that there exists a backward bifurcation which suggests that the disease cannot be eradicated even if the basic reproduction number is...
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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/10.1155/2014/414383 |
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| _version_ | 1850208796524150784 |
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| author | Can Chen Yanni Xiao |
| author_facet | Can Chen Yanni Xiao |
| author_sort | Can Chen |
| collection | DOAJ |
| description | A mathematical model is proposed to consider the effects of saturated diagnosis and vaccination on HIV/AIDS infection. By employing center manifold theory, we prove that there exists a backward bifurcation which suggests that the disease cannot be eradicated even if the basic reproduction number is less than unity. Global stability of the disease-free equilibrium is investigated for appropriate conditions. When the basic reproduction number is greater than unity, the system is uniformly persistent. The proposed model is applied to describe HIV infection among injecting drug users (IDUs) in Yunnan province, China. Numerical studies indicate that new cases and prevalence are sensitive to transmission rate, vaccination rate, and vaccine efficacy. The findings suggest that increasing vaccination rate and vaccine efficacy and enhancing interventions like reducing share injectors can greatly reduce the transmission of HIV among IDUs in Yunnan province, China. |
| format | Article |
| id | doaj-art-935daae2de2249caa67fad0a9a8ffe76 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-935daae2de2249caa67fad0a9a8ffe762025-08-20T02:10:10ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/414383414383Modeling Saturated Diagnosis and Vaccination in Reducing HIV/AIDS InfectionCan Chen0Yanni Xiao1Department of Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049, ChinaDepartment of Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049, ChinaA mathematical model is proposed to consider the effects of saturated diagnosis and vaccination on HIV/AIDS infection. By employing center manifold theory, we prove that there exists a backward bifurcation which suggests that the disease cannot be eradicated even if the basic reproduction number is less than unity. Global stability of the disease-free equilibrium is investigated for appropriate conditions. When the basic reproduction number is greater than unity, the system is uniformly persistent. The proposed model is applied to describe HIV infection among injecting drug users (IDUs) in Yunnan province, China. Numerical studies indicate that new cases and prevalence are sensitive to transmission rate, vaccination rate, and vaccine efficacy. The findings suggest that increasing vaccination rate and vaccine efficacy and enhancing interventions like reducing share injectors can greatly reduce the transmission of HIV among IDUs in Yunnan province, China.http://dx.doi.org/10.1155/2014/414383 |
| spellingShingle | Can Chen Yanni Xiao Modeling Saturated Diagnosis and Vaccination in Reducing HIV/AIDS Infection Abstract and Applied Analysis |
| title | Modeling Saturated Diagnosis and Vaccination in Reducing HIV/AIDS Infection |
| title_full | Modeling Saturated Diagnosis and Vaccination in Reducing HIV/AIDS Infection |
| title_fullStr | Modeling Saturated Diagnosis and Vaccination in Reducing HIV/AIDS Infection |
| title_full_unstemmed | Modeling Saturated Diagnosis and Vaccination in Reducing HIV/AIDS Infection |
| title_short | Modeling Saturated Diagnosis and Vaccination in Reducing HIV/AIDS Infection |
| title_sort | modeling saturated diagnosis and vaccination in reducing hiv aids infection |
| url | http://dx.doi.org/10.1155/2014/414383 |
| work_keys_str_mv | AT canchen modelingsaturateddiagnosisandvaccinationinreducinghivaidsinfection AT yannixiao modelingsaturateddiagnosisandvaccinationinreducinghivaidsinfection |