{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:42:49Z","timestamp":1760146969265,"version":"build-2065373602"},"reference-count":33,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2024,12,24]],"date-time":"2024-12-24T00:00:00Z","timestamp":1734998400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>A reaction\u2013diffusion susceptible\u2013infectious\u2013susceptible disease model with advection, vital dynamics (birth\u2013death effects), and a standard incidence infection mechanism is carefully analyzed. Two distinct diffusion coefficients for the susceptible and infected populations are considered. The Lie symmetries and closed-form solutions for the RDA\u2013SIS disease model are established. The derived solution allows to study dynamics of disease transmission. Our simulation clearly illustrates the evolution dynamics of the model by using the values of parameters from academic sources. A sensitivity analysis is performed, offering valuable perspectives that could inform future disease management policies.<\/jats:p>","DOI":"10.3390\/sym17010003","type":"journal-article","created":{"date-parts":[[2024,12,24]],"date-time":"2024-12-24T09:48:58Z","timestamp":1735033738000},"page":"3","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Lie Symmetries and Solutions for a Reaction\u2013Diffusion\u2013Advection SIS Model with Demographic Effects"],"prefix":"10.3390","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6232-4957","authenticated-orcid":false,"given":"Rehana","family":"Naz","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistical Sciences, Lahore School of Economics, Lahore 53200, Pakistan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0386-6216","authenticated-orcid":false,"given":"Mariano","family":"Torrisi","sequence":"additional","affiliation":[{"name":"Dipartimento di Matematica e Informatica, Universita degli Studi di Catania, Viale Andrea Doria 6, 95125 Catania, Italy"}]},{"given":"Ayesha","family":"Imran","sequence":"additional","affiliation":[{"name":"Lahore Grammar School, Defence, 483\/4 G Block, Phase V, Education City DHA, Lahore 54810, Pakistan"}]}],"member":"1968","published-online":{"date-parts":[[2024,12,24]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"3305","DOI":"10.1016\/j.jde.2016.05.025","article-title":"A spatial SIS model in advective heterogeneous environments","volume":"261","author":"Cui","year":"2016","journal-title":"J. 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