{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,27]],"date-time":"2026-02-27T03:51:13Z","timestamp":1772164273570,"version":"3.50.1"},"reference-count":20,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2023,9,1]],"date-time":"2023-09-01T00:00:00Z","timestamp":1693526400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Arab Open University","award":["AOURG-2023-008"],"award-info":[{"award-number":["AOURG-2023-008"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Algorithms"],"abstract":"<jats:p>This paper establishes a novel fractional-order version of a recently expanded form of the Susceptible-Exposed-Infectious-Recovery (SEIR) Mpox model. This model is investigated by means of demonstrating some significant findings connected with the stability analysis and the vaccination impact, as well. In particular, we analyze the fractional-order Mpox model in terms of its invariant region, boundedness of solution, equilibria, basic reproductive number, and its elasticity. In accordance with an effective vaccine, we study the progression and dynamics of the Mpox disease in compliance with various scenarios of the vaccination ratio through the proposed fractional-order Mpox model. Accordingly, several numerical findings of the proposed model are depicted with the use of two numerical methods; the Fractional Euler Method (FEM) and Modified Fractional Euler Method (MFEM). Such findings demonstrate the influence of the fractional-order values coupled with the vaccination rate on the dynamics of the established disease model.<\/jats:p>","DOI":"10.3390\/a16090418","type":"journal-article","created":{"date-parts":[[2023,9,1]],"date-time":"2023-09-01T08:45:31Z","timestamp":1693557931000},"page":"418","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["A Mathematical Study on a Fractional-Order SEIR Mpox Model: Analysis and Vaccination Influence"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8443-8848","authenticated-orcid":false,"given":"Iqbal M.","family":"Batiha","sequence":"first","affiliation":[{"name":"Department of Mathematics, Al Zaytoonah University, Amman 11733, Jordan"},{"name":"Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman 346, United Arab Emirates"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0694-1680","authenticated-orcid":false,"given":"Ahmad A.","family":"Abubaker","sequence":"additional","affiliation":[{"name":"Faculty of Computer Studies, Arab Open University, Riyadh 11681, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4348-6197","authenticated-orcid":false,"given":"Iqbal H.","family":"Jebril","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Al Zaytoonah University, Amman 11733, Jordan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9960-2591","authenticated-orcid":false,"given":"Suha B.","family":"Al-Shaikh","sequence":"additional","affiliation":[{"name":"Faculty of Computer Studies, Arab Open University, Riyadh 11681, Saudi Arabia"}]},{"given":"Khaled","family":"Matarneh","sequence":"additional","affiliation":[{"name":"Faculty of Computer Studies, Arab Open University, Riyadh 11681, Saudi Arabia"}]},{"given":"Manal","family":"Almuzini","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Universiti Sains Malaysia, Penang 11800, Malaysia"},{"name":"Department of Mathematics and Statistics, American University of Sharjah, Sharjah 26666, United Arab Emirates"}]}],"member":"1968","published-online":{"date-parts":[[2023,9,1]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"101108","DOI":"10.1016\/j.nmni.2023.101108","article-title":"Hematological manifestations of Monkeypox virus (MPOX) and impact of human MPOX disease on blood donation\u2014What we need to know?","volume":"52","author":"Suvvari","year":"2023","journal-title":"New Microbes New Infect."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1822","DOI":"10.1016\/S0140-6736(23)00588-3","article-title":"Mpox neglect and the smallpox niche: A problem for Africa, a problem for the world","volume":"401","author":"Adetifa","year":"2023","journal-title":"Lancet"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1097\/MOP.0000000000001232","article-title":"A global update of mpox (monkeypox) in children","volume":"35","author":"Ewa","year":"2023","journal-title":"Curr. 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