{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,6]],"date-time":"2026-05-06T21:24:13Z","timestamp":1778102653993,"version":"3.51.4"},"reference-count":43,"publisher":"World Scientific Pub Co Pte Ltd","issue":"02","funder":[{"DOI":"10.13039\/501100003392","name":"Natural Science Foundation of Fujian Province","doi-asserted-by":"publisher","award":["2021J01613"],"award-info":[{"award-number":["2021J01613"]}],"id":[{"id":"10.13039\/501100003392","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003392","name":"Natural Science Foundation of Fujian Province","doi-asserted-by":"publisher","award":["2021J011032"],"award-info":[{"award-number":["2021J011032"]}],"id":[{"id":"10.13039\/501100003392","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Scientific Research Foundation of Minjiang University","award":["MJY22027"],"award-info":[{"award-number":["MJY22027"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2025,2]]},"abstract":"<jats:p> This paper investigates a Leslie\u2013Gower predator\u2013prey model with simplified Holling type IV functional response and constant-yield prey harvesting. We analyze conditions for the existence of positive equilibria and prove that the system has at most four positive equilibria. The results show that the double positive equilibrium is a cusp of codimension at most\u00a04, the triple positive equilibrium is a degenerate saddle or nilpotent focus of codimension-3, and the quadruple positive equilibrium is a nilpotent cusp of codimension-5. In addition, as the parameters vary, the system can undergo a cusp-type (or focus-type) degenerate Bogdanov\u2013Takens bifurcation of codimension-4 (or codimension-3). Furthermore, the positive equilibrium is a weak focus of order at most 4, and the model can undergo a degenerate Hopf bifurcation of codimension-4. Finally, our main results are verified by some numerical simulations, which also reveal that there exist three limit cycles containing one positive equilibrium, or one (or two) limit cycles containing three positive equilibria, or a limit cycle as well as a homoclinic loop. <\/jats:p>","DOI":"10.1142\/s0218127425500233","type":"journal-article","created":{"date-parts":[[2025,1,28]],"date-time":"2025-01-28T05:25:58Z","timestamp":1738041958000},"source":"Crossref","is-referenced-by-count":5,"title":["Dynamics of a Harvested Leslie\u2013Gower Predator\u2013Prey Model with Simplified Holling Type IV Functional Response"],"prefix":"10.1142","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0009-0009-7400-5668","authenticated-orcid":false,"given":"Chenyang","family":"Huangfu","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Fuzhou University, Fuzhou, Fujian 350108, P. R. 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