The transmission dynamic of different hepatitis B-infected individuals with the effect of hospitalization
We propose an epidemic model for the transmission of hepatitis B virus along with the classification of different infection phases and hospitalized class. We formulate the model and discuss its basic mathematical properties, e.g. existence, positivity, and biological feasibility. Exploiting the next...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2018-01-01
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| Series: | Journal of Biological Dynamics |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/17513758.2018.1500649 |
| _version_ | 1828824670347984896 |
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| author | Tahir Khan Gul Zaman Muhammad Ikhlaq Chohan |
| author_facet | Tahir Khan Gul Zaman Muhammad Ikhlaq Chohan |
| author_sort | Tahir Khan |
| collection | DOAJ |
| description | We propose an epidemic model for the transmission of hepatitis B virus along with the classification of different infection phases and hospitalized class. We formulate the model and discuss its basic mathematical properties, e.g. existence, positivity, and biological feasibility. Exploiting the next generation matrix approach, we find the basic reproductive number of the model. We perform sensitivity analysis to illustrate the effect of various parameters on the transmission of the disease. We investigate stability of the equilibria of the model in terms of the basic reproduction number. Conditions for the stability of the proposed model are obtained using various approaches. Finally, we perform the numerical simulations to discuss sensitivity analysis and to support our analytical work. |
| first_indexed | 2024-12-12T14:02:24Z |
| format | Article |
| id | doaj.art-b3bcae1780b249369653b8a6ed399b6b |
| institution | Directory Open Access Journal |
| issn | 1751-3758 1751-3766 |
| language | English |
| last_indexed | 2024-12-12T14:02:24Z |
| publishDate | 2018-01-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Biological Dynamics |
| spelling | doaj.art-b3bcae1780b249369653b8a6ed399b6b2022-12-22T00:22:19ZengTaylor & Francis GroupJournal of Biological Dynamics1751-37581751-37662018-01-0112161163110.1080/17513758.2018.15006491500649The transmission dynamic of different hepatitis B-infected individuals with the effect of hospitalizationTahir Khan0Gul Zaman1Muhammad Ikhlaq Chohan2University of MalakandUniversity of MalakandBuraimi University CollegeWe propose an epidemic model for the transmission of hepatitis B virus along with the classification of different infection phases and hospitalized class. We formulate the model and discuss its basic mathematical properties, e.g. existence, positivity, and biological feasibility. Exploiting the next generation matrix approach, we find the basic reproductive number of the model. We perform sensitivity analysis to illustrate the effect of various parameters on the transmission of the disease. We investigate stability of the equilibria of the model in terms of the basic reproduction number. Conditions for the stability of the proposed model are obtained using various approaches. Finally, we perform the numerical simulations to discuss sensitivity analysis and to support our analytical work.http://dx.doi.org/10.1080/17513758.2018.1500649mathematical modellingdifferent phases of hepatitis bhospitalizationbasic reproduction numbersensitivity analysisstability analysisnumerical simulation |
| spellingShingle | Tahir Khan Gul Zaman Muhammad Ikhlaq Chohan The transmission dynamic of different hepatitis B-infected individuals with the effect of hospitalization Journal of Biological Dynamics mathematical modelling different phases of hepatitis b hospitalization basic reproduction number sensitivity analysis stability analysis numerical simulation |
| title | The transmission dynamic of different hepatitis B-infected individuals with the effect of hospitalization |
| title_full | The transmission dynamic of different hepatitis B-infected individuals with the effect of hospitalization |
| title_fullStr | The transmission dynamic of different hepatitis B-infected individuals with the effect of hospitalization |
| title_full_unstemmed | The transmission dynamic of different hepatitis B-infected individuals with the effect of hospitalization |
| title_short | The transmission dynamic of different hepatitis B-infected individuals with the effect of hospitalization |
| title_sort | transmission dynamic of different hepatitis b infected individuals with the effect of hospitalization |
| topic | mathematical modelling different phases of hepatitis b hospitalization basic reproduction number sensitivity analysis stability analysis numerical simulation |
| url | http://dx.doi.org/10.1080/17513758.2018.1500649 |
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