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Furthermore, we observe stability switching induced by the fear effect while keeping the delay fixed. We identify the stability condition of the proposed model and precisely establish bifurcation points by utilizing delay as a bifurcation parameter. The system exhibits robust stability performance with smaller control parameters, and Hopf bifurcation arises as the control parameter surpasses a critical value. Additionally, through theoretical analysis and numerical simulations, we investigate the effects of fractional order, the fear effect, and time delay on the system\u2019s stability. <\/jats:p>","DOI":"10.1142\/s0218127425500798","type":"journal-article","created":{"date-parts":[[2025,4,8]],"date-time":"2025-04-08T15:25:29Z","timestamp":1744125929000},"source":"Crossref","is-referenced-by-count":3,"title":["Fractional-Order Dynamics and Fear-Induced Bifurcation in Delayed Food Chain Model"],"prefix":"10.1142","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4509-9484","authenticated-orcid":false,"given":"Vinoth","family":"Seralan","sequence":"first","affiliation":[{"name":"Center for Nonlinear and Complex Networks, SRM Institute of Science and Technology, Ramapuram, Chennai 600089, Tamil Nadu, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1385-5345","authenticated-orcid":false,"given":"R.","family":"Vadivel","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Phuket Rajabhat University, Faculty of Science and Technology, Phuket 83000, Thailand"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0375-7917","authenticated-orcid":false,"given":"Nallappan","family":"Gunasekaran","sequence":"additional","affiliation":[{"name":"Eastern Michigan Joint College of Engineering, Beibu Gulf University, Qinzhou 535011, P. 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