Stability analysis of an SVIR epidemic model with non-linear saturated incidence rate
In this paper, we present an SVIR epidemic model with non-linear saturated incidence rate. Initially the basic formulation of the model is presented. Two equilibrium point exists for the system; disease free and endemic equilibrium. The stability of the disease free and endemic equilibrium exists wh...
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Hikari Ltd.
2015
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| Online Access: | http://scholars.utp.edu.my/id/eprint/30781/ https://www.scopus.com/inward/record.uri?eid=2-s2.0-84929673302&doi=10.12988%2fams.2015.41164&partnerID=40&md5=3f32c0cf3b1a9f95fcfcd93468c6d530 |
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| author | Khan, M.A. Ali, Z. Dennis, L.C.C. Khan, I. Islam, S. Ullah, M. Gul, T. |
| author_facet | Khan, M.A. Ali, Z. Dennis, L.C.C. Khan, I. Islam, S. Ullah, M. Gul, T. |
| author_sort | Khan, M.A. |
| building | UTP Resource Centre |
| collection | Institutional Repository |
| content_provider | Universiti Teknologi Petronas |
| content_source | UTP Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | In this paper, we present an SVIR epidemic model with non-linear saturated incidence rate. Initially the basic formulation of the model is presented. Two equilibrium point exists for the system; disease free and endemic equilibrium. The stability of the disease free and endemic equilibrium exists when the basic reproduction less or greater than unity, respectively. If the value of R0, less then one then the disease free equilibrium is locally as well as globally asymptotically stable, and if its exceeds, the endemic equilibrium is stable both locally and globally. The numerical results are presented for illustration. © 2014 Muhammad Altaf Khan et al. |
| format | Article |
| id | oai:scholars.utp.edu.my:30781 |
| institution | Universiti Teknologi Petronas |
| publishDate | 2015 |
| publisher | Hikari Ltd. |
| record_format | eprints |
| spelling | oai:scholars.utp.edu.my:307812022-03-25T07:18:37Z http://scholars.utp.edu.my/id/eprint/30781/ Stability analysis of an SVIR epidemic model with non-linear saturated incidence rate Khan, M.A. Ali, Z. Dennis, L.C.C. Khan, I. Islam, S. Ullah, M. Gul, T. In this paper, we present an SVIR epidemic model with non-linear saturated incidence rate. Initially the basic formulation of the model is presented. Two equilibrium point exists for the system; disease free and endemic equilibrium. The stability of the disease free and endemic equilibrium exists when the basic reproduction less or greater than unity, respectively. If the value of R0, less then one then the disease free equilibrium is locally as well as globally asymptotically stable, and if its exceeds, the endemic equilibrium is stable both locally and globally. The numerical results are presented for illustration. © 2014 Muhammad Altaf Khan et al. Hikari Ltd. 2015 Article NonPeerReviewed Khan, M.A. and Ali, Z. and Dennis, L.C.C. and Khan, I. and Islam, S. and Ullah, M. and Gul, T. (2015) Stability analysis of an SVIR epidemic model with non-linear saturated incidence rate. Applied Mathematical Sciences, 9 (21-24). pp. 1145-1158. https://www.scopus.com/inward/record.uri?eid=2-s2.0-84929673302&doi=10.12988%2fams.2015.41164&partnerID=40&md5=3f32c0cf3b1a9f95fcfcd93468c6d530 |
| spellingShingle | Khan, M.A. Ali, Z. Dennis, L.C.C. Khan, I. Islam, S. Ullah, M. Gul, T. Stability analysis of an SVIR epidemic model with non-linear saturated incidence rate |
| title | Stability analysis of an SVIR epidemic model with non-linear saturated incidence rate |
| title_full | Stability analysis of an SVIR epidemic model with non-linear saturated incidence rate |
| title_fullStr | Stability analysis of an SVIR epidemic model with non-linear saturated incidence rate |
| title_full_unstemmed | Stability analysis of an SVIR epidemic model with non-linear saturated incidence rate |
| title_short | Stability analysis of an SVIR epidemic model with non-linear saturated incidence rate |
| title_sort | stability analysis of an svir epidemic model with non-linear saturated incidence rate |
| url | http://scholars.utp.edu.my/id/eprint/30781/ https://www.scopus.com/inward/record.uri?eid=2-s2.0-84929673302&doi=10.12988%2fams.2015.41164&partnerID=40&md5=3f32c0cf3b1a9f95fcfcd93468c6d530 |
| url_provider | http://eprints.utp.edu.my/ |