{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,27]],"date-time":"2025-12-27T20:44:51Z","timestamp":1766868291710},"reference-count":53,"publisher":"World Scientific Pub Co Pte Lt","issue":"09","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2014,9]]},"abstract":"<jats:p> We study the impact of the Allee effect and prey refuge on the stability of a discrete time predator\u2013prey system. We focus on the stability behavior of the system with the Allee effect in predator, prey and both populations. Based on the combination of analytical and numerical results, we observe that: (1) the Allee effect stabilizes the systems dynamics in a moderate value of prey refuge. (2) For a large fraction of prey refuge no significant improvement in stability is observed due to Allee effect. (3) Refuge may play an important role in managing the populations which are subject to the Allee effect. The population remains stable at an intermediate level of refuge parameter, whereas at relatively low and high refuge effect, prey exhibits chaotic oscillation. Such chaotic behavior is suppressed in the presence of Allee effect. The Allee mechanism and refuge are considered simultaneously on the populations and is shown to have a significant impact on the predator\u2013prey dynamics that may be helpful in the conservation of endangered species. <\/jats:p>","DOI":"10.1142\/s0218127414501065","type":"journal-article","created":{"date-parts":[[2014,10,3]],"date-time":"2014-10-03T08:25:41Z","timestamp":1412324741000},"page":"1450106","source":"Crossref","is-referenced-by-count":34,"title":["Impact of Prey Refuge on a Discrete Time Predator\u2013Prey System with Allee Effect"],"prefix":"10.1142","volume":"24","author":[{"given":"Sourav","family":"Rana","sequence":"first","affiliation":[{"name":"Department of Statistics, Visva-Bharati University, Santiniketan, West Bengal, Pin 731235, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Amiya Ranjan","family":"Bhowmick","sequence":"additional","affiliation":[{"name":"Agricultural and Ecological Research Unit, Indian Statistical Institute, 203, B. 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