{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,12]],"date-time":"2025-11-12T08:05:46Z","timestamp":1762934746461,"version":"3.45.0"},"reference-count":46,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2025,11,12]],"date-time":"2025-11-12T00:00:00Z","timestamp":1762905600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100003392","name":"Natural Science Foundation of Fujian Province","doi-asserted-by":"publisher","award":["2025J01488"],"award-info":[{"award-number":["2025J01488"]}],"id":[{"id":"10.13039\/501100003392","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this paper, a Holling\u2013Tanner predator\u2013prey model with generalist predators and Michaelis\u2013Menten-type prey harvesting is investigated. We analyze the existence and stability of equilibria and find the system has at most three positive equilibria. The double positive equilibrium belongs to the cusp type, with its codimension being at least 5. We then prove that the triple positive equilibrium is either a nilpotent focus (or elliptic point) of codimension 3, or a nilpotent elliptic equilibrium with codimension no less than 4. Additionally, the system undergoes two types of bifurcations: a cusp-type degenerate Bogdanov\u2013Takens bifurcation (codimension 3) and a Hopf bifurcation. Using numerical simulations, the system has two limit cycles, which indicates that Michaelis\u2013Menten-type prey harvesting makes the system\u2019s dynamics more complex.<\/jats:p>","DOI":"10.3390\/axioms14110832","type":"journal-article","created":{"date-parts":[[2025,11,12]],"date-time":"2025-11-12T07:58:32Z","timestamp":1762934312000},"page":"832","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["The Influence of Generalist Predator and Michaelis\u2013Menten Harvesting in a Holling\u2013Tanner Model"],"prefix":"10.3390","volume":"14","author":[{"given":"Tanglei","family":"Huang","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Fuzhou University, Fuzhou 350108, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Huiling","family":"Wu","sequence":"additional","affiliation":[{"name":"College of Computer and Data Science, Minjiang University, Fuzhou 350108, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhong","family":"Li","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Fuzhou University, Fuzhou 350108, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,11,12]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Dey, S., Ghorai, S., and Banerjee, M. 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