{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,7]],"date-time":"2026-09-07T11:32:18Z","timestamp":1788780738087,"version":"build-2803163510"},"reference-count":39,"publisher":"AIP Publishing","issue":"3","funder":[{"DOI":"10.13039\/501100001409","name":"Department of Science and Technology, Ministry of Science and Technology, India","doi-asserted-by":"publisher","award":["DST\/INSPIRE Fellowship\/[IF180693]"],"award-info":[{"award-number":["DST\/INSPIRE Fellowship\/[IF180693]"]}],"id":[{"id":"10.13039\/501100001409","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001409","name":"Department of Science and Technology, Ministry of Science and Technology, India","doi-asserted-by":"publisher","award":["SR\/FST\/MS-I\/2019\/42 (C)"],"award-info":[{"award-number":["SR\/FST\/MS-I\/2019\/42 (C)"]}],"id":[{"id":"10.13039\/501100001409","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2024,3,1]]},"abstract":"<jats:p>An HIV-COVID-19 co-infection dynamics is modeled mathematically assimilating the vaccination mechanism that incorporates endogenous modification of human practices generated by the COVID-19 prevalence, absorbing the relevance of the treatment mechanism in suppressing the co-infection burden. Envisaging a COVID-19 situation, the HIV-subsystem is analyzed by introducing COVID-19 vaccination for the HIV-infected population as a prevention, and the \u201cvaccination influenced basic reproduction number\u201d of HIV is derived. The mono-infection systems experience forward bifurcation that evidences the persistence of diseases above unit epidemic thresholds. Delicate simulation methodologies are employed to explore the impacts of baseline vaccination, prevalence-dependent spontaneous behavioral change that induces supplementary vaccination, and medication on the dual epidemic. Captivatingly, a paradox is revealed showing that people start to get vaccinated at an additional rate with the increased COVID-19 prevalence, which ultimately diminishes the dual epidemic load. It suggests increasing the baseline vaccination rate and the potency of propagated awareness. Co-infection treatment needs to be emphasized parallelly with single infection medication under dual epidemic situations. Further, an optimization technique is introduced to the co-infection model integrating vaccination and treatment control mechanisms, which approves the strategy combining vaccination with awareness and medication as the ideal one for epidemic and economic gain. Conclusively, it is manifested that waiting frivolously for any anticipated outbreak, depending on autogenous behavior modification generated by the increased COVID-19 prevalence, instead of elevating vaccination campaigns and the efficacy of awareness beforehand, may cause devastation to the population under future co-epidemic conditions.<\/jats:p>","DOI":"10.1063\/5.0186156","type":"journal-article","created":{"date-parts":[[2024,3,1]],"date-time":"2024-03-01T20:06:44Z","timestamp":1709323604000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":7,"title":["Vaccination impact on impending HIV-COVID-19 dual epidemic with autogenous behavior modification: Hill-type functional response and premeditated optimization technique"],"prefix":"10.1063","volume":"34","author":[{"ORCID":"https:\/\/orcid.org\/0009-0007-2062-328X","authenticated-orcid":false,"given":"Madhuri","family":"Majumder","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Kalyani 1 , Kalyani 741235, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8792-0031","authenticated-orcid":false,"given":"Samares","family":"Pal","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Kalyani 1 , Kalyani 741235, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5342-3961","authenticated-orcid":false,"given":"Pankaj","family":"Kumar Tiwari","sequence":"additional","affiliation":[{"name":"Department of Basic Science and Humanities, Indian Institute of Information Technology 2 , Bhagalpur 813210, India"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"317","published-online":{"date-parts":[[2024,3,1]]},"reference":[{"key":"2024030120063318000_c1","doi-asserted-by":"publisher","first-page":"85","DOI":"10.1007\/s10461-020-02983-2","article-title":"COVID-19 among people living with HIV: A systematic review","volume":"25","year":"2021","journal-title":"AIDS Behav."},{"key":"2024030120063318000_c2","doi-asserted-by":"publisher","first-page":"1687","DOI":"10.1002\/jmv.26533","article-title":"Clinical outcomes of patients with COVID-19 and HIV coinfection","volume":"93","year":"2021","journal-title":"J. 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