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The mean exit time exhibits a non-monotonic dependence on the initial condition and the drift-to-noise strength ratio, attaining a maximum when the particle is initialized toward the extinction (low-noise) site. The possibility of an outbreak is higher even if the process starts with a small initial bias toward the low-noise boundary. The spatial location of the lowest coefficient of variation (CV) is nicely corroborated by the maximum exit time, which is the hallmark of a stochastic escape from an interval. The fluctuation in escape time is found to dominate the mean, which is a non-trivial function of the drift-to-noise strength and the initial spatial bias. The observed asymmetries in escape also shape the speed\u2013accuracy trade-off in stochastic decision-making events.<\/jats:p>","DOI":"10.1063\/5.0349400","type":"journal-article","created":{"date-parts":[[2026,10,23]],"date-time":"2026-10-23T11:41:33Z","timestamp":1792755693000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":0,"title":["Feller diffusion in an interval: Inhomogeneous fluctuation-induced asymmetric escape"],"prefix":"10.1063","volume":"165","author":[{"ORCID":"https:\/\/orcid.org\/0009-0009-9921-2452","authenticated-orcid":false,"given":"Prashanta","family":"Bauri","sequence":"first","affiliation":[{"name":"Department of Chemistry, Indian Institute of Technology Tirupati , Yerpedu 517619, Andhra Pradesh,","place":["India"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6740-1015","authenticated-orcid":false,"given":"Debasish","family":"Mondal","sequence":"additional","affiliation":[{"name":"Department of Chemistry, Indian Institute of Technology Tirupati , Yerpedu 517619, Andhra Pradesh,","place":["India"]}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"317","published-online":{"date-parts":[[2026,10,23]]},"reference":[{"key":"2026102307412558100_c1","doi-asserted-by":"publisher","first-page":"291","DOI":"10.1007\/bf01012607","volume":"28","year":"1982","journal-title":"J.\u00a0Stat. 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