eprintid: 6331 rev_number: 2 eprint_status: archive userid: 1 dir: disk0/00/00/63/31 datestamp: 2023-11-09 16:18:06 lastmod: 2023-11-09 16:18:06 status_changed: 2023-11-09 16:05:42 type: article metadata_visibility: show creators_name: Khan, M.A. creators_name: Ali, Z. creators_name: Dennis, L.C.C. creators_name: Khan, I. creators_name: Islam, S. creators_name: Ullah, M. creators_name: Gul, T. title: Stability analysis of an SVIR epidemic model with non-linear saturated incidence rate ispublished: pub note: cited By 4 abstract: 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. date: 2015 publisher: Hikari Ltd. official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84929673302&doi=10.12988%2fams.2015.41164&partnerID=40&md5=3f32c0cf3b1a9f95fcfcd93468c6d530 id_number: 10.12988/ams.2015.41164 full_text_status: none publication: Applied Mathematical Sciences volume: 9 number: 21-24 pagerange: 1145-1158 refereed: TRUE issn: 1312885X citation: 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. ISSN 1312885X