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In this work we present a family of predator\u2013prey models with a generalist predator which does not exhibit a Hopf bifurcation, but a planar zero-Hopf bifurcation; that means, in the whole bifurcation process the eigenvalues of the linear approximation around the equilibrium points remain as pure imaginary. Similar models with a nongeneralist predator always possess a Hopf bifurcation. <\/jats:p>","DOI":"10.1142\/s0218127417500341","type":"journal-article","created":{"date-parts":[[2017,4,10]],"date-time":"2017-04-10T04:15:00Z","timestamp":1491797700000},"page":"1750034","source":"Crossref","is-referenced-by-count":7,"title":["A Generalist Predator and the Planar Zero-Hopf Bifurcation"],"prefix":"10.1142","volume":"27","author":[{"given":"Luis Miguel","family":"Valenzuela","sequence":"first","affiliation":[{"name":"Divisi\u00f3n Acad\u00e9mica Multidisciplinaria de Jalpa de M\u00e9ndez, UJAT, Carretera Nacajuca-Jalpa de M\u00e9ndez, R\/a Rivera Alta, c.p. 86205, Jalpa de M\u00e9ndez, Tabasco, M\u00e9xico"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Manuel","family":"Falconi","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Facultad de Ciencias, UNAM, C. 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