{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,3]],"date-time":"2026-03-03T22:33:48Z","timestamp":1772577228935,"version":"3.50.1"},"reference-count":29,"publisher":"World Scientific Pub Co Pte Lt","issue":"10","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2013,10]]},"abstract":"<jats:p> The bifurcation analysis of a predator\u2013prey system of Holling and Leslie type with constant-yield prey harvesting is carried out in this paper. It is shown that the model has a Bogdanov\u2013Takens singularity (cusp case) of codimension at least 4 for some parameter values. Various kinds of bifurcations, such as saddle-node bifurcation, Hopf bifurcation, repelling and attracting Bogdanov\u2013Takens bifurcations of codimensions 2 and 3, are also shown in the model as parameters vary. Hence, there are different parameter values for which the model has a limit cycle, a homoclinic loop, two limit cycles, or a limit cycle coexisting with a homoclinic loop. These results present far richer dynamics compared to the model with no harvesting. Numerical simulations, including the repelling and attracting Bogdanov\u2013Takens bifurcation diagrams and corresponding phase portraits, and the existence of two limit cycles or an unstable limit cycle enclosing a stable multiple focus with multiplicity one, are also given to support the theoretical analysis. <\/jats:p>","DOI":"10.1142\/s0218127413501642","type":"journal-article","created":{"date-parts":[[2013,10,30]],"date-time":"2013-10-30T03:12:20Z","timestamp":1383102740000},"page":"1350164","source":"Crossref","is-referenced-by-count":84,"title":["MULTIPLE BIFURCATIONS IN A PREDATOR\u2013PREY SYSTEM OF HOLLING AND LESLIE TYPE WITH CONSTANT-YIELD PREY HARVESTING"],"prefix":"10.1142","volume":"23","author":[{"given":"JICAI","family":"HUANG","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Central China Normal University, Wuhan, Hubei 430079, P. R. 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