Duffy, Kevin JanCollins, Obiora Cornelius2017-03-032017-03-032016Duffy, K.J. and Collins, O.C. 2016. Identifying stability conditions and Hopf bifurcations in a consumer resource model using a consumption threshold. Ecological Complexity. 28: 212-217.0304-3800 (print)1872-7026 (online)http://hdl.handle.net/10321/2302The existence, or not, of cyclic dynamics is one of the pivotal aspects of ecological populations. This work considers a consumer resource model found in ecology that can describe both cyclic and non-cyclic dynamics depending on parameter conditions. A threshold consumption number C0 is introduced, similar to the basic reproduction in epidemiological models. It is shown that consumer survival requires C0 > 1 and that a Hopf bifurcation occurs at , where is defined here and is greater than 1. This result is discussed with an example and extensions to other more complicated models.6 penConsumer-resource modelEcosystem dynamicsStability analysisHopf bifurcationArticlehttps://doi.org/10.1016/j.ecocom.2016.03.002