  The literature posits that an introduced predator population, is able to
drive it's target pest population extinct, if supplemented with high quality
additional food of quantity $\xi > \xi_{critical}$, \cite{SP11, SPV18, SPD17,
SPM13}. We show this approach leads to infinite time blow-up of the predator
population. We propose an alternate model in which the additional food induces
predator competition. Analysis herein indicates that there are threshold values
$c^{*}_{1} < c^{*}_{2} < c^{*}_{3}$ of the competition parameter $c$, s.t. when
$c < c^{*}_{1}$, the pest free state is globally stable, when $c^{*}_{2} < c <
c^{*}_{3}$, bi-stability is possible, and when $c^{*}_{3} < c$, up to three
interior equilibriums could exist. As $c$ and $\xi$-$c$ are varied, standard
co-dimension one and co-dimension two bifurcations are observed. The recent
dynamical systems literature involving predator competition, report several
non-standard bifurcations such as the saddle-node-transcritical bifurcation
(SNTC) occurring in co-dimension two \cite{KSV10, BS07}, and cusp-transcritical
bifurcation (CPTC) in co-dimension three, \cite{D20, BS07}. We show that in our
model structural symmetries can be exploited to construct a SNTC in
co-dimension two, and a CPTC also in co-dimension two. We further use these
symmetries to construct a novel pitchfork-transcritical bifurcation (PTC) in
co-dimension two, thus explicitly characterizing a new organizing center of the
model. Dynamics such as homoclinic orbits, concurrently occurring limit cycles,
and competition driven Turing patterns are also observed. Our findings indicate
that increasing additional food in predator-pest models, can hinder
bio-control, contrary to some of the literature. However, additional food that
also induces predator competition, leads to novel bio-control scenarios, and
complements the work in \cite{H21, B98, K04, D20, BS07, VH19}.
