{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,24]],"date-time":"2026-02-24T13:14:47Z","timestamp":1771938887801,"version":"3.50.1"},"reference-count":49,"publisher":"World Scientific Pub Co Pte Ltd","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2025,2]]},"abstract":"<jats:p> In this paper, we scrutinize the dynamics of a temporal and spatiotemporal prey\u2013predator model incorporating the fear effect on prey and team hunting by the predator. Additionally, we explore the influence of delayed anti-predation response. The analysis includes discussions on well-posedness, local stability, and various bifurcations such as saddle-node, transcritical, Hopf and Bogdanov\u2013Takens bifurcations. The impact of fear cost and delay parameters on model dynamics is investigated by considering them as bifurcation parameters. We investigate how bifurcation values change with varying parameters by exploring different bi-parameter planes. It is observed that the system transitions into chaotic behavior through Hopf bifurcation for significant anti-predation response delay. The positivity of the maximal Lyapunov exponent indicates the confirmed characteristics of chaotic behavior. Furthermore, within the spatiotemporal model framework, a thorough analysis of local and global stability is provided, including the establishment of criteria for identifying Turing instability in cases of self- and cross-diffusion. Various stationary and dynamic patterns are elucidated as diffusion coefficients vary, showcasing the diverse dynamics of the spatiotemporal model. In order to illustrate the dynamic characteristics of the system, a series of comprehensive numerical simulations are conducted. The discoveries outlined in this paper could prove advantageous for understanding the biological implications resulting from the examination of predator\u2013prey relationships. <\/jats:p>","DOI":"10.1142\/s021812742550018x","type":"journal-article","created":{"date-parts":[[2025,1,28]],"date-time":"2025-01-28T05:25:58Z","timestamp":1738041958000},"source":"Crossref","is-referenced-by-count":2,"title":["Bifurcation and Chaos in a Diffusive Prey\u2013Predator Model Incorporating Fear Effect on Prey and Team Hunting by Predator with Anti-Predation Response Delay"],"prefix":"10.1142","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0009-0005-6685-1566","authenticated-orcid":false,"given":"Anand","family":"Singh","sequence":"first","affiliation":[{"name":"Department of Mathematics, Birla Institute of Technology and Science Pilani, Pilani, Rajasthan 333031, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2540-4488","authenticated-orcid":false,"given":"Ankit","family":"Kumar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Chennai Campus, Tamil Nadu 600127, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3385-8332","authenticated-orcid":false,"given":"Ashvini","family":"Gupta","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Indian Institute of Technology Bombay, Mumbai 400076, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4009-2208","authenticated-orcid":false,"given":"Balram","family":"Dubey","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Birla Institute of Technology and Science Pilani, Pilani, Rajasthan 333031, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2025,1,25]]},"reference":[{"key":"S021812742550018XBIB001","doi-asserted-by":"publisher","DOI":"10.1644\/1545-1542(2001)082<0430:AEOPRO>2.0.CO;2"},{"key":"S021812742550018XBIB002","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2017.02.002"},{"key":"S021812742550018XBIB003","doi-asserted-by":"publisher","DOI":"10.1007\/s11538-009-9439-1"},{"key":"S021812742550018XBIB004","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127424500615"},{"key":"S021812742550018XBIB005","doi-asserted-by":"publisher","DOI":"10.1007\/s12110-002-1013-6"},{"key":"S021812742550018XBIB006","doi-asserted-by":"publisher","DOI":"10.1111\/1365-2435.12007"},{"key":"S021812742550018XBIB007","doi-asserted-by":"publisher","DOI":"10.1007\/s10336-010-0638-1"},{"key":"S021812742550018XBIB008","doi-asserted-by":"publisher","DOI":"10.2307\/1467324"},{"key":"S021812742550018XBIB009","first-page":"214","volume":"231","author":"Deng L.","year":"2014","journal-title":"Appl. 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