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We consider a coupled, logistic predator–prey system with delay. Mainly, by choosing the delay time
as a bifurcation parameter, we show that Hopf bifurcation can occur as the delay time
passes some critical values. Based on the normal-form theory and the centre manifold theorem, we also derive formulae to obtain the direction, stability and the period of the bifurcating periodic solution at critical values of
. Finally, numerical simulations are investigated to support our theoretical results.
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