{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,20]],"date-time":"2026-05-20T22:09:51Z","timestamp":1779314991612,"version":"3.51.4"},"reference-count":24,"publisher":"World Scientific Pub Co Pte Ltd","issue":"16","funder":[{"DOI":"10.13039\/501100001843","name":"Science and Engineering Research Board","doi-asserted-by":"publisher","award":["YSS\/2015\/001548"],"award-info":[{"award-number":["YSS\/2015\/001548"]}],"id":[{"id":"10.13039\/501100001843","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2020,12,30]]},"abstract":"<jats:p> The article aims to study a prey\u2013predator model which includes the Allee effect phenomena in prey growth function, density dependent death rate for predators and Beddington\u2013DeAngelis type functional response. We notice the changes in the existence and stability of the equilibrium points due to the Allee effect. To investigate the complete global dynamics of the Allee model, we present here a two-parametric bifurcation diagram which describes the effect of density dependent death rate parameter of predator on dynamical changes of the system. We have also analyzed all possible local and global bifurcations that the system could go through, namely transcritical bifurcation, saddle-node bifurcation, Hopf-bifurcation, cusp bifurcation, Bogdanov\u2013Takens bifurcation and homoclinic bifurcation. Finally, the impact of the Allee effect in the considered system is investigated by comparing the dynamics of both the systems with and without Allee effect. <\/jats:p>","DOI":"10.1142\/s0218127420502387","type":"journal-article","created":{"date-parts":[[2020,12,30]],"date-time":"2020-12-30T09:16:23Z","timestamp":1609319783000},"page":"2050238","source":"Crossref","is-referenced-by-count":17,"title":["Bifurcation Analysis of a Prey\u2013Predator Model with Beddington\u2013DeAngelis Type Functional Response and Allee Effect in Prey"],"prefix":"10.1142","volume":"30","author":[{"given":"Koushik","family":"Garain","sequence":"first","affiliation":[{"name":"Department of Mathematics, NIT Patna, Patna-800005, Bihar, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2549-5444","authenticated-orcid":false,"given":"Partha Sarathi","family":"Mandal","sequence":"additional","affiliation":[{"name":"Department of Mathematics, NIT Patna, Patna-800005, Bihar, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2020,12,28]]},"reference":[{"key":"S0218127420502387BIB001","volume-title":"Animal Aggregations","author":"Allee W. 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