eprintid: 7049 rev_number: 2 eprint_status: archive userid: 1 dir: disk0/00/00/70/49 datestamp: 2023-11-09 16:18:51 lastmod: 2023-11-09 16:18:51 status_changed: 2023-11-09 16:08:20 type: article metadata_visibility: show creators_name: Khan, M.A. creators_name: Ullah, S. creators_name: Ching, D.L.C. creators_name: Khan, I. creators_name: Ullah, S. creators_name: Islam, S. creators_name: Gul, T. title: A mathematical study of an epidemic disease model spread by rumors ispublished: pub keywords: Computer simulation; Disease control; Epidemiology, Basic reproduction number; Disease propagation; Disease-free equilibrium; Endemic equilibrium; Epidemic modeling; Mathematical approach; Reproduction numbers; Stability results, Numerical models note: cited By 4 abstract: Mathematical models are widely used in order to understand the dynamics of the disease. In this study we focus a very important issue regarding the rumors spread about the disease propagation in the community. This study based on the ground realities faces to the individuals of Pakistan about an unauthentic information about the disease vaccination awareness. The present study is composed in the form of a mathematical model. A mathematical approach is used to obtain the necessary results. The proposed model is stable both locally and globally. For the basic reproduction number the disease free equilibrium is stable locally as well as globally. Further, the disease persistence occurs when the basic reproduction number exceeds than unity. The endemic equilibrium is stable locally as well as globally when the basic reproduction number exceeds than unity. The numerical solution of the model is presented in the form of the graphics by choosing such suitable parameters. Copyright © 2016 American Scientific Publishers All rights reserved. date: 2016 publisher: American Scientific Publishers official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84982985723&doi=10.1166%2fjctn.2016.4929&partnerID=40&md5=d2545d10d7d75275ca602042181eb009 id_number: 10.1166/jctn.2016.4929 full_text_status: none publication: Journal of Computational and Theoretical Nanoscience volume: 13 number: 5 pagerange: 2856-2866 refereed: TRUE issn: 15461955 citation: Khan, M.A. and Ullah, S. and Ching, D.L.C. and Khan, I. and Ullah, S. and Islam, S. and Gul, T. (2016) A mathematical study of an epidemic disease model spread by rumors. Journal of Computational and Theoretical Nanoscience, 13 (5). pp. 2856-2866. ISSN 15461955