  Dynamic exploration for a predator-prey bio-system of two species with
ratio-dependent functional response is carried out, where the capability to
predate in both the stages of the predator, the juvenile and the matured, is
taken into account. But, only the matured predators are inferred to be
efficient in killing the prey without any negative repercussions. The mortality
risks for the juvenile predators are attributable to the inefficiency rate of
juveniles coupled with habitat complexity which is either in the form of
anti-predator behavior of the prey taken with the aid of their habitat or in
the form of a territorial generalist mesopredator. So as to avoid extinction of
either of the species and to preserve the food chain of the ecological system,
the results pertaining to the existence and stability of all the equilibrium
points of the bio-system along with permanence, transcritical and Hopf
bifurcation has been thoroughly studied. Corroboration of the results along
with the dependence of the biosystem on some crucial parameters is done through
numerical simulation. It is found that juvenile predators' inefficiency
relative to the resistance confronted, plays a crucial role to control each
species density of the ecosystem, as an intriguing limit cycle between the
trivial and axial equilibriums of the proposed system along with the
co-existing periodic point, because of some ineffeciency parametric value of
the juvenile predator has been witnessed.
