{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,24]],"date-time":"2026-03-24T23:47:15Z","timestamp":1774396035056,"version":"3.50.1"},"reference-count":18,"publisher":"World Scientific Pub Co Pte Ltd","issue":"12","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11271339"],"award-info":[{"award-number":["11271339"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Plan for Scientific Innovation Talent of Henan Province","award":["164200510011"],"award-info":[{"award-number":["164200510011"]}]},{"name":"Innovative Research Team of Science and Technology in Henan Province","award":["17IRTSTHN007"],"award-info":[{"award-number":["17IRTSTHN007"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2016,11]]},"abstract":"<jats:p> A seasonally forced predator\u2013prey system with generalized Holling type IV functional response is considered in this paper. The influence of seasonal forcing on the system is investigated via numerical bifurcation analysis. Bifurcation diagrams for periodic solutions of periods one and two, containing bifurcation curves of codimension one and bifurcation points of codimension two, are obtained by means of a continuation technique, corresponding to different bifurcation cases of the unforced system illustrated in five bifurcation diagrams. The seasonally forced model exhibits more complex dynamics than the unforced one, such as stable and unstable periodic solutions of various periods, stable and unstable quasiperiodic solutions, and chaotic motions through torus destruction or cascade of period doublings. Finally, some phase portraits and corresponding Poincar\u00e9 map portraits are given to illustrate these different types of solutions. <\/jats:p>","DOI":"10.1142\/s0218127416502035","type":"journal-article","created":{"date-parts":[[2016,11,22]],"date-time":"2016-11-22T02:46:26Z","timestamp":1479782786000},"page":"1650203","source":"Crossref","is-referenced-by-count":18,"title":["Bifurcations in a Seasonally Forced Predator\u2013Prey Model with Generalized Holling Type IV Functional Response"],"prefix":"10.1142","volume":"26","author":[{"given":"Jingli","family":"Ren","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, P. R. China"}]},{"given":"Xueping","family":"Li","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2016,11,21]]},"reference":[{"key":"S0218127416502035BIB001","doi-asserted-by":"publisher","DOI":"10.1002\/bit.260100602"},{"key":"S0218127416502035BIB002","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.84.037202"},{"key":"S0218127416502035BIB003","doi-asserted-by":"publisher","DOI":"10.1137\/120895858"},{"key":"S0218127416502035BIB004","doi-asserted-by":"publisher","DOI":"10.1007\/s002850050095"},{"key":"S0218127416502035BIB006","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2013.06.027"},{"key":"S0218127416502035BIB007","doi-asserted-by":"publisher","DOI":"10.1007\/BF02461847"},{"key":"S0218127416502035BIB008","doi-asserted-by":"publisher","DOI":"10.4039\/Ent91293-5"},{"key":"S0218127416502035BIB009","doi-asserted-by":"publisher","DOI":"10.4039\/entm9745fv"},{"key":"S0218127416502035BIB010","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127492000112"},{"key":"S0218127416502035BIB011","volume-title":"Elements of Applied Bifurcation Theory","author":"Kuznetsov Y. 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