{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T05:59:44Z","timestamp":1760162384101,"version":"build-2065373602"},"reference-count":15,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2024,12,2]],"date-time":"2024-12-02T00:00:00Z","timestamp":1733097600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Directorate of Research and Innovation, Walter Sisulu University, South Africa"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this article, we examine a deterministic Zika virus model that takes into account the vector and sexual transmission route, in the absence of disease-induced deaths, symmetrically observing the impact of human knowledge and vector control. In order to construct the model, we suppose that the Zika virus is first spread to humans through mosquito bites, and then to their sexual partner. In this article, we conduct analytical studies which often begin by proving the existence and uniqueness of solutions for the Zika virus model using the fractional derivative from the Caputo\u2013Fabrizio derivative. Then, the uniqueness of the solution is investigated. After that, we also identify under which circumstances and symmetry the model provides a unique solution.<\/jats:p>","DOI":"10.3390\/sym16121606","type":"journal-article","created":{"date-parts":[[2024,12,2]],"date-time":"2024-12-02T06:58:58Z","timestamp":1733122738000},"page":"1606","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Zika Virus Model with the Caputo\u2013Fabrizio Fractional Derivative"],"prefix":"10.3390","volume":"16","author":[{"given":"Virendra Singh","family":"Chouhan","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, Manipal University Jaipur, Jaipur 303007, India"}]},{"given":"Ashok Kumar","family":"Badsara","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, Manipal University Jaipur, Jaipur 303007, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9835-0935","authenticated-orcid":false,"given":"Rahul","family":"Shukla","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences and Computing, Walter Sisulu University, Mthatha 5117, South Africa"}]}],"member":"1968","published-online":{"date-parts":[[2024,12,2]]},"reference":[{"key":"ref_1","first-page":"23","article-title":"Mathematical model of zika virus dynamics with vector control and sensitivity analysis","volume":"5","author":"Biswas","year":"2020","journal-title":"Infect. 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Waves Random Complex Media, 1\u201315.","DOI":"10.1080\/17455030.2022.2075954"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1007\/s12043-023-02589-y","article-title":"On the implementation of fractional homotopy perturbation transform method to the Emden\u2013Fowler equations","volume":"97","author":"Kumar","year":"2023","journal-title":"Pramana"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1128","DOI":"10.1007\/s11082-023-05416-1","article-title":"Dynamical behavior for the approximate solutions and different wave profiles nonlinear fractional generalised pochhammer-chree equation in mathematical physics","volume":"55","author":"Kumar","year":"2023","journal-title":"Opt. 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