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Numerical trajectories are obtained. Furthermore, we explored some of the sensitive parameters impact. Based on the trajectories, we hypothesised that the memory index or fractional order could use to control the Monkeypox virus transmission dynamics. We observed that if the proper vaccination is administrated, public health education is given, and practice like personal hygiene and proper disinfection spray, the infected individuals decreases.<\/p><\/abstract><\/jats:p>","DOI":"10.3934\/mbe.2023446","type":"journal-article","created":{"date-parts":[[2023,3,29]],"date-time":"2023-03-29T08:31:07Z","timestamp":1680078667000},"page":"10174-10199","source":"Crossref","is-referenced-by-count":20,"title":["Modelling the impact of vaccination and environmental transmission on the dynamics of monkeypox virus under Caputo operator"],"prefix":"10.3934","volume":"20","author":[{"given":"Emmanuel","family":"Addai","sequence":"first","affiliation":[{"name":"College of Biomedical Engineering, Taiyuan University of Technology, Shanxi Taiyuan 030024, China"},{"name":"Department of Mathematics, Taiyuan University of Technology, Shanxi Taiyuan 030024, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mercy","family":"Ngungu","sequence":"additional","affiliation":[{"name":"Human Sciences Research Council (HSRC), South Africa"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Musibau Abayomi","family":"Omoloye","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, Elizade University, Ilara-Mokin, Ondo State, Nigeria"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Edmore","family":"Marinda","sequence":"additional","affiliation":[{"name":"Human Sciences Research Council (HSRC), South Africa"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"2321","reference":[{"key":"key-10.3934\/mbe.2023446-1","unstructured":"World Health Organization (WHO)<\/i>, 2022 Mpox (Monkeypox) outbreak: global trends, 2022. 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