{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,19]],"date-time":"2025-12-19T22:07:36Z","timestamp":1766182056355,"version":"3.41.2"},"reference-count":48,"publisher":"World Scientific Pub Co Pte Ltd","issue":"02","funder":[{"DOI":"10.13039\/501100006013","name":"United Arab Emirates University","doi-asserted-by":"publisher","award":["12S107"],"award-info":[{"award-number":["12S107"]}],"id":[{"id":"10.13039\/501100006013","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2023,2]]},"abstract":"<jats:p> Throughout the last few decades, fractional-order models have been used in many fields of science and engineering, applied mathematics, and biotechnology. Fractional-order differential equations are beneficial for incorporating memory and hereditary properties into systems. Our paper proposes an asymptomatic COVID-19 model with three delay terms [Formula: see text] and fractional-order [Formula: see text]. Multiple constant time delays are included in the model to account for the latency of infection in a vector. We study the necessary and sufficient criteria for stability of steady states and Hopf bifurcations based on the three constant time-delays, [Formula: see text], [Formula: see text], and [Formula: see text]. Hopf bifurcation occurs in the addressed model at the estimated bifurcation points [Formula: see text], [Formula: see text], [Formula: see text], and [Formula: see text]. The numerical simulations fit to real observations proving the effectiveness of the theoretical results. Fractional-order and time-delays successfully enhance the dynamics and strengthen the stability condition of the asymptomatic COVID-19 model. <\/jats:p>","DOI":"10.1142\/s0218127423500220","type":"journal-article","created":{"date-parts":[[2023,3,8]],"date-time":"2023-03-08T10:06:21Z","timestamp":1678269981000},"source":"Crossref","is-referenced-by-count":8,"title":["Stability and Bifurcation Analysis of the Caputo Fractional-Order Asymptomatic COVID-19 Model with Multiple Time-Delays"],"prefix":"10.1142","volume":"33","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3855-5944","authenticated-orcid":false,"given":"Fathalla A.","family":"Rihan","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, College of Science, United Arab Emirates University, Al-Ain 15551, UAE"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"K.","family":"Udhayakumar","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, College of Science, United Arab Emirates University, Al-Ain 15551, UAE"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nicola","family":"Sottocornola","sequence":"additional","affiliation":[{"name":"College of Natural and Health Sciences, Zayed University, 44534 Abu Dhabi, UAE"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.-Naim","family":"Anwar","sequence":"additional","affiliation":[{"name":"Faculty of Engineering, Pharos University in Alexandria, Egypt"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Abdul Q. M.","family":"Khaliq","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, Middle Tennessee State University, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2023,3,3]]},"reference":[{"key":"S0218127423500220BIB001","doi-asserted-by":"publisher","DOI":"10.1137\/030600370"},{"key":"S0218127423500220BIB002","doi-asserted-by":"publisher","DOI":"10.1137\/S0036139902413829"},{"key":"S0218127423500220BIB003","doi-asserted-by":"publisher","DOI":"10.1140\/epjp\/i2018-12021-3"},{"key":"S0218127423500220BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2018.07.022"},{"key":"S0218127423500220BIB005","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2018.03.056"},{"key":"S0218127423500220BIB006","doi-asserted-by":"crossref","first-page":"605","DOI":"10.1007\/s12190-017-1124-1","volume":"57","author":"Cai L.-M.","year":"2018","journal-title":"J. Appl. Math. Comput."},{"key":"S0218127423500220BIB007","doi-asserted-by":"crossref","first-page":"071101","DOI":"10.1063\/5.0099450","volume":"32","author":"Cai M.","year":"2022","journal-title":"Chaos"},{"key":"S0218127423500220BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2006.07.051"},{"key":"S0218127423500220BIB009","doi-asserted-by":"crossref","first-page":"109864","DOI":"10.1016\/j.chaos.2020.109864","volume":"135","author":"Chimmula V. K.","year":"2020","journal-title":"Chaos Solit. Fract."},{"key":"S0218127423500220BIB010","doi-asserted-by":"publisher","DOI":"10.1101\/SQB.1933.001.01.014"},{"key":"S0218127423500220BIB011","doi-asserted-by":"publisher","DOI":"10.3934\/mine.2021013"},{"key":"S0218127423500220BIB012","doi-asserted-by":"publisher","DOI":"10.1038\/s41591-020-0869-5"},{"key":"S0218127423500220BIB013","doi-asserted-by":"crossref","first-page":"e1008124","DOI":"10.1371\/journal.pcbi.1008124","volume":"16","author":"Jagan M.","year":"2020","journal-title":"PLoS Comput. Biol."},{"key":"S0218127423500220BIB014","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.1927.0118"},{"key":"S0218127423500220BIB015","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2017.11.032"},{"key":"S0218127423500220BIB016","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1007\/s11741-009-0302-1","volume":"13","author":"Li C. P.","year":"2009","journal-title":"J. Shanghai Univ."},{"key":"S0218127423500220BIB017","doi-asserted-by":"publisher","DOI":"10.1007\/s11538-010-9503-x"},{"key":"S0218127423500220BIB018","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-012-0601-1"},{"key":"S0218127423500220BIB019","first-page":"20120156","volume":"371","author":"Li C. P.","year":"2013","journal-title":"Philos. Trans. Royal Soc."},{"key":"S0218127423500220BIB020","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2018.02.029"},{"key":"S0218127423500220BIB021","doi-asserted-by":"publisher","DOI":"10.1007\/s10915-019-01102-1"},{"key":"S0218127423500220BIB022","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijid.2020.02.058"},{"key":"S0218127423500220BIB023","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2007.10.014"},{"key":"S0218127423500220BIB024","first-page":"1","volume":"2017","author":"Liu J.","year":"2017","journal-title":"Discr. Dyn. Nat. Soc."},{"key":"S0218127423500220BIB025","doi-asserted-by":"crossref","first-page":"50","DOI":"10.3390\/biology9030050","volume":"9","author":"Liu Z.","year":"2020","journal-title":"Biology"},{"key":"S0218127423500220BIB026","doi-asserted-by":"publisher","DOI":"10.3934\/mbe.2020172"},{"key":"S0218127423500220BIB027","doi-asserted-by":"publisher","DOI":"10.1038\/s41591-020-0965-6"},{"volume-title":"Biological Delay Systems","year":"1989","author":"MacDonald N.","key":"S0218127423500220BIB028"},{"key":"S0218127423500220BIB029","doi-asserted-by":"publisher","DOI":"10.1137\/18M1182243"},{"key":"S0218127423500220BIB031","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2020.132693"},{"key":"S0218127423500220BIB032","doi-asserted-by":"crossref","first-page":"471","DOI":"10.3390\/epidemiologia2040033","volume":"2","author":"Olumoyin K. D.","year":"2021","journal-title":"Epidemiologia"},{"volume-title":"Fractional Differential Equations","year":"1999","author":"Podlubny I.","key":"S0218127423500220BIB033"},{"key":"S0218127423500220BIB034","doi-asserted-by":"crossref","first-page":"4178073-1","DOI":"10.1155\/2019\/4178073","volume":"2019","author":"Rakkiyappan R.","year":"2019","journal-title":"Complexity"},{"key":"S0218127423500220BIB035","doi-asserted-by":"crossref","first-page":"816803-1","DOI":"10.1155\/2013\/816803","volume":"2013","author":"Rihan F. A.","year":"2013","journal-title":"Abstr. Appl. Anal."},{"key":"S0218127423500220BIB036","doi-asserted-by":"publisher","DOI":"10.1080\/00207160.2012.726354"},{"key":"S0218127423500220BIB037","doi-asserted-by":"publisher","DOI":"10.1155\/2014\/136263"},{"key":"S0218127423500220BIB038","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-015-1905-8"},{"key":"S0218127423500220BIB039","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1051\/mmnp\/201712503","volume":"12","author":"Rihan F. A.","year":"2017","journal-title":"Math. Model. Nat. Phenom."},{"key":"S0218127423500220BIB040","doi-asserted-by":"publisher","DOI":"10.1007\/978-981-16-0626-7"},{"key":"S0218127423500220BIB041","doi-asserted-by":"publisher","DOI":"10.1137\/140996148"},{"key":"S0218127423500220BIB042","doi-asserted-by":"crossref","first-page":"e0240877","DOI":"10.1371\/journal.pone.0240877","volume":"15","author":"Tam K. M.","year":"2020","journal-title":"PLoS One"},{"key":"S0218127423500220BIB043","doi-asserted-by":"crossref","first-page":"1","DOI":"10.3389\/fphy.2017.00052","volume":"5","author":"Tateishi A. A.","year":"2017","journal-title":"Front. Phys."},{"key":"S0218127423500220BIB044","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2021.10.003"},{"key":"S0218127423500220BIB045","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127418501808"},{"key":"S0218127423500220BIB046","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2018.11.016"},{"key":"S0218127423500220BIB047","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2019.07.028"},{"key":"S0218127423500220BIB048","doi-asserted-by":"crossref","first-page":"302","DOI":"10.1016\/j.cam.2008.10.046","volume":"229","author":"Wei H.","year":"2009","journal-title":"J. Comput. Appl. Math."},{"key":"S0218127423500220BIB049","volume":"2015","author":"Zhang L.","year":"2015","journal-title":"Discr. Dyn. Nat. Soc."}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127423500220","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,8]],"date-time":"2023-03-08T10:07:49Z","timestamp":1678270069000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0218127423500220"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,2]]},"references-count":48,"journal-issue":{"issue":"02","published-print":{"date-parts":[[2023,2]]}},"alternative-id":["10.1142\/S0218127423500220"],"URL":"https:\/\/doi.org\/10.1142\/s0218127423500220","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"type":"print","value":"0218-1274"},{"type":"electronic","value":"1793-6551"}],"subject":[],"published":{"date-parts":[[2023,2]]},"article-number":"2350022"}}