{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,5]],"date-time":"2026-02-05T12:29:04Z","timestamp":1770294544961,"version":"3.49.0"},"reference-count":36,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2021,6,6]],"date-time":"2021-06-06T00:00:00Z","timestamp":1622937600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This work proposes an interval-based uncertain Susceptible\u2013Infected\u2013Recovered (SIR) epidemic model. The interval model has been numerically solved by the homotopy analysis method (HAM). The SIR epidemic model is proposed and solved under different uncertain intervals by the HAM to obtain the numerical solution of the model. Furthermore, the SIR ODE model was transformed into a stochastic differential equation (SDE) model and the results of the stochastic and deterministic models were compared using numerical simulations. The results obtained were compared with the numerical solution and found to be in good agreement. Finally, various simulations were done to discuss the solution.<\/jats:p>","DOI":"10.3390\/axioms10020114","type":"journal-article","created":{"date-parts":[[2021,6,6]],"date-time":"2021-06-06T23:59:55Z","timestamp":1623023995000},"page":"114","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Numerical Solution of an Interval-Based Uncertain SIR (Susceptible\u2013Infected\u2013Recovered) Epidemic Model by Homotopy Analysis Method"],"prefix":"10.3390","volume":"10","author":[{"given":"Emmanuel A.","family":"Bakare","sequence":"first","affiliation":[{"name":"Department of Mathematics, Federal University, Oye Ekiti, Ado Ekiti 371 104, Ekiti State, Nigeria"}]},{"given":"Snehashish","family":"Chakraverty","sequence":"additional","affiliation":[{"name":"Department of Mathematics, National Institute of Technology Rourkela, Odisha 769001, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4385-691X","authenticated-orcid":false,"given":"Radovan","family":"Potucek","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Physics, University of Defence, Kounicova 65, 662 10 Brno, Czech Republic"}]}],"member":"1968","published-online":{"date-parts":[[2021,6,6]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Moore, R.E.R., Baker, K., and Michael, J.C. 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