In this paper, first we consider the global dynamics of a ratio-dependent predator–prey
model with density dependent death rate for the predator species. Analytical conditions for
local bifurcation and numerical investigations to identify the global bifurcations help us to
prepare a complete bifurcation diagram for the concerned model. All possible phase
portraits related to the stability and instability of the coexisting equilibria are also presented
which are helpful to understand the global behaviour of the system around the coexisting …