  Recently, a piecewise smooth differential system was derived as a model of a
1 predator-2 prey interaction where the predator feeds adaptively on its
preferred prey and an alternative prey. In such a model, strong evidence of
chaotic behavior was numerically found. Here, we revisit this model and prove
the existence of a Shilnikov sliding connection when the parameters are taken
in a codimension one submanifold of the parameter space. As a consequence of
this connection, we conclude, analytically, that the model behaves chaotically
for an open region of the parameter space.
