In this paper, we consider a kind of three-dimensional biological model of food system including Panda, bamboo and arbor with delays. The stabilities of positive equilibrium points are considered. Some theories of the existence of positive periodic solutions via Hopf bifurcation with respect to both delays are established. The paper ends with some numerical simulations. DOI : http://dx.doi.org/10.11591/telkomnika.v12i3.4672
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