  In a recent paper of Yuan and Zhu (J. Differential Equations 321(2022)
99-129), the nature of dynamics of a generalist predator and prey with stage
structure is modeled as a three-dimensional coupled nonlinear differential
system. A detailed analysis of the bifurcation shows that the model exhibits a
high complexity in its dynamics, which arises from the use of predatory mites
as agent for controlling stage structures of tea green leafhopper pest.
Unfortunately, there is a mistake in Proposition 2.2, item (3), also the
hypothesis in Proposition 3.3 is incorrect. In this paper, we revisit the model
and straighten those mentioned errors as in item (3), changed the existing
hypothesis by a suitable one and give a corrected proof of Proposition 3.3 in
its new form. Also, we show that the model does undergo both Hopf bifurcation
and Bautin bifurcation, and numerical examples are given to support the
analytic results.
