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In this case, when the prey abundance is high, predators cooperate in hunting, but when the prey abundance decreases and falls below a critical level, predators compete for scarce food. The proposed model is analyzed in terms of the existence and stability of its equilibria and its pseudo-equilibrium, which is located on the differentiable curve separating the two vector fields. Given the conditions found which determine the existence of cycles and limit cycles, contrasted with a bifurcation diagram, we find that the proposed model can have an asymptotically stable limit cycle around the pseudo-equilibrium and two positive inner equilibria, together with an unstable limit cycle around the pseudo-equilibrium. Similarly, if the model has a pseudo-equilibrium and no positive inner equilibria, then we could have at least two limit cycles, one stable and one unstable, surrounding the pseudo-equilibrium. <\/jats:p>","DOI":"10.1142\/s0218127425500142","type":"journal-article","created":{"date-parts":[[2025,1,25]],"date-time":"2025-01-25T02:47:46Z","timestamp":1737773266000},"source":"Crossref","is-referenced-by-count":0,"title":["Dynamics in a Filippov\u2013Gause Predator\u2013Prey Model with Hunting Cooperation or Competition Among Predators for High or Low Prey Densities"],"prefix":"10.1142","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8955-4530","authenticated-orcid":false,"given":"Christian","family":"Cort\u00e9s-Garc\u00eda","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Universidad de Valencia, 46100 Burjassot, Valencia, Spain"},{"name":"Departamento de Matem\u00e1ticas y Estad\u00edstica, Universidad Surcolombiana, Neiva, Huila, Colombia"}]}],"member":"219","published-online":{"date-parts":[[2025,1,24]]},"reference":[{"key":"S0218127425500142BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2017.02.002"},{"key":"S0218127425500142BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/j.rinp.2023.106489"},{"key":"S0218127425500142BIB003","doi-asserted-by":"publisher","DOI":"10.1142\/2284"},{"key":"S0218127425500142BIB004","doi-asserted-by":"publisher","DOI":"10.1086\/701670"},{"key":"S0218127425500142BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/s10255-023-1084-1"},{"key":"S0218127425500142BIB006","doi-asserted-by":"publisher","DOI":"10.1142\/S1793524520500631"},{"key":"S0218127425500142BIB008","first-page":"59","volume":"21","author":"Cort\u00e9s-Garc\u00eda C. 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