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We obtained the equilibrium points and studied the local and global asymptotic behaviors of nondelayed system around them. It is observed from our analysis that the fear effect in the prey induces Hopf-bifurcation in the system. It is concluded that the refuge of prey population under a threshold level is lucrative for both the species. Further, we incorporate gestation delay of the predator population in the model. Local and global asymptotic stabilities for delayed model are carried out. The existence of stable limit cycle via Hopf-bifurcation with respect to delay parameter is established. Chaotic oscillations are also observed and confirmed by drawing the bifurcation diagram and evaluating maximum Lyapunov exponent for large values of delay parameter.<\/jats:p>","DOI":"10.1142\/s0218127419501955","type":"journal-article","created":{"date-parts":[[2019,12,26]],"date-time":"2019-12-26T09:36:48Z","timestamp":1577353008000},"page":"1950195","source":"Crossref","is-referenced-by-count":73,"title":["Modeling the Effect of Fear in a Prey\u2013Predator System with Prey Refuge and Gestation Delay"],"prefix":"10.1142","volume":"29","author":[{"given":"Ankit","family":"Kumar","sequence":"first","affiliation":[{"name":"Department of Mathematics, BITS Pilani, Pilani Campus, Pilani 333031, Rajasthan, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4009-2208","authenticated-orcid":false,"given":"Balram","family":"Dubey","sequence":"additional","affiliation":[{"name":"Department of Mathematics, BITS Pilani, Pilani Campus, Pilani 333031, Rajasthan, India"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2019,12,26]]},"reference":[{"key":"S0218127419501955BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/S0362-546X(97)00491-4"},{"key":"S0218127419501955BIB002","doi-asserted-by":"publisher","DOI":"10.1111\/1365-2435.12007"},{"key":"S0218127419501955BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.tree.2007.12.004"},{"key":"S0218127419501955BIB004","doi-asserted-by":"publisher","DOI":"10.1007\/s10336-010-0638-1"},{"key":"S0218127419501955BIB005","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2005.10.011"},{"key":"S0218127419501955BIB006","doi-asserted-by":"crossref","first-page":"214","DOI":"10.1016\/j.amc.2014.01.025","volume":"231","author":"Deng L.","year":"2014","journal-title":"Appl. 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