An Analysis of a Partial Temporary Immunity SIR Epidemic Model with Nonlinear Treatment Rate
A partial temporary immunity SIR epidemic model involv nonlinear treatment rate is proposed and studied. The basic reproduction number is determined. The local and global stability of all equilibria of the model are analyzed. The conditions for occurrence of local bifurcation in the proposed epidem...
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| Format: | Article |
| Language: | English |
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University of Baghdad, College of Science for Women
2019-09-01
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| Series: | مجلة بغداد للعلوم |
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| Online Access: | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3945 |
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| author | Saba et al. |
| author_facet | Saba et al. |
| author_sort | Saba et al. |
| collection | DOAJ |
| description | A partial temporary immunity SIR epidemic model involv nonlinear treatment rate is proposed and studied. The basic reproduction number is determined. The local and global stability of all equilibria of the model are analyzed. The conditions for occurrence of local bifurcation in the proposed epidemic model are established. Finally, numerical simulation is used to confirm our obtained analytical results and specify the control set of parameters that affect the dynamics of the model. |
| format | Article |
| id | doaj-art-8be3f85d4c9f4a91844fd044c8aeea58 |
| institution | Kabale University |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2019-09-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-8be3f85d4c9f4a91844fd044c8aeea582025-08-20T03:56:55ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862019-09-0116310.21123/bsj.16.3.639An Analysis of a Partial Temporary Immunity SIR Epidemic Model with Nonlinear Treatment RateSaba et al.A partial temporary immunity SIR epidemic model involv nonlinear treatment rate is proposed and studied. The basic reproduction number is determined. The local and global stability of all equilibria of the model are analyzed. The conditions for occurrence of local bifurcation in the proposed epidemic model are established. Finally, numerical simulation is used to confirm our obtained analytical results and specify the control set of parameters that affect the dynamics of the model.http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3945Nonlinear treatment rate, Partial temporary immunity, SIR epidemic model. |
| spellingShingle | Saba et al. An Analysis of a Partial Temporary Immunity SIR Epidemic Model with Nonlinear Treatment Rate مجلة بغداد للعلوم Nonlinear treatment rate, Partial temporary immunity, SIR epidemic model. |
| title | An Analysis of a Partial Temporary Immunity SIR Epidemic Model with Nonlinear Treatment Rate |
| title_full | An Analysis of a Partial Temporary Immunity SIR Epidemic Model with Nonlinear Treatment Rate |
| title_fullStr | An Analysis of a Partial Temporary Immunity SIR Epidemic Model with Nonlinear Treatment Rate |
| title_full_unstemmed | An Analysis of a Partial Temporary Immunity SIR Epidemic Model with Nonlinear Treatment Rate |
| title_short | An Analysis of a Partial Temporary Immunity SIR Epidemic Model with Nonlinear Treatment Rate |
| title_sort | analysis of a partial temporary immunity sir epidemic model with nonlinear treatment rate |
| topic | Nonlinear treatment rate, Partial temporary immunity, SIR epidemic model. |
| url | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3945 |
| work_keys_str_mv | AT sabaetal ananalysisofapartialtemporaryimmunitysirepidemicmodelwithnonlineartreatmentrate AT sabaetal analysisofapartialtemporaryimmunitysirepidemicmodelwithnonlineartreatmentrate |