{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:18:56Z","timestamp":1753881536966,"version":"3.41.2"},"reference-count":13,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,6,30]],"date-time":"2021-06-30T00:00:00Z","timestamp":1625011200000},"content-version":"vor","delay-in-days":180,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>We study in this paper the trends of the evolution of different infections using a SIR flow (first\u2010order ODE system), completed by a differential inclusion, a geodesic motion in a gyroscopic field of forces, and a stochastic SIR perturbation of the flow (It\u00f4 ODE system). We are interested in mathematical analysis, bringing new results on studied evolutionary models: infection flow together with a differential inclusion, bounds of evolution, dual description of disease evolution, log\u2010optimal and rapid path, epidemic wind (geometric dynamics), stochastic equations of evolution, and stochastic connectivity. We hope that the paper will be a guideline for strategizing optimal sociopolitical countermeasures to mitigate infectious diseases.<\/jats:p>","DOI":"10.1155\/2021\/6395410","type":"journal-article","created":{"date-parts":[[2021,6,30]],"date-time":"2021-06-30T22:35:19Z","timestamp":1625092519000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Flow, Wind, and Stochastic Connectivity Modeling Infectious Diseases"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7132-6900","authenticated-orcid":false,"given":"C.","family":"Udriste","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9160-9185","authenticated-orcid":false,"given":"I.","family":"Tevy","sequence":"additional","affiliation":[]},{"given":"A. S.","family":"Rasheed","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2021,6,30]]},"reference":[{"key":"e_1_2_11_1_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-07779-6"},{"key":"e_1_2_11_2_2","first-page":"37","article-title":"Stochastic sub-riemannian geodesics on grushin distribution","volume":"19","author":"Calin O.","year":"2014","journal-title":"Balkan Journal of Geometry and Its Applications"},{"key":"e_1_2_11_3_2","unstructured":"SimhaA. PrasadR. V. andNarayanaS. 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Infectious disease spread analysis using stochastic differential equations for SIR model Proceedings of the 4th International Conference on Intelligent Systems Modelling and Simulation 2013 Bangkok Thailand IEEE.","DOI":"10.1109\/ISMS.2013.13"},{"key":"e_1_2_11_8_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-69512-4"},{"key":"e_1_2_11_9_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-4187-1"},{"key":"e_1_2_11_10_2","doi-asserted-by":"publisher","DOI":"10.3390\/math8010079"},{"key":"e_1_2_11_11_2","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-28258-0_8"},{"key":"e_1_2_11_12_2","first-page":"149","article-title":"Dualities in nonholonomic optimization","volume":"54","author":"Udriste C.","year":"2016","journal-title":"Mathematics and Computer Science"},{"key":"e_1_2_11_13_2","first-page":"852","article-title":"Sur les spaces non holonomes","volume":"183","author":"Vranceanu G.","year":"1926","journal-title":"Comptes rendus de l\u2032Acad\u00e9mie des Sciences"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2021\/6395410.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2021\/6395410.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2021\/6395410","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,9]],"date-time":"2024-08-09T23:05:38Z","timestamp":1723244738000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2021\/6395410"}},"subtitle":[],"editor":[{"given":"Mondher","family":"Farza","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2021,1]]},"references-count":13,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,1]]}},"alternative-id":["10.1155\/2021\/6395410"],"URL":"https:\/\/doi.org\/10.1155\/2021\/6395410","archive":["Portico"],"relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"type":"print","value":"1076-2787"},{"type":"electronic","value":"1099-0526"}],"subject":[],"published":{"date-parts":[[2021,1]]},"assertion":[{"value":"2020-06-29","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-06-18","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-06-30","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"6395410"}}