Generalist predators exploit multiple food sources and it is economical
for them to reduce predation pressure on a particular prey species when
their density level becomes comparatively less. As a result, a
prey-predator system tends to become more stable in the presence of a
generalist predator. In this article, we investigate the roles of both
the diffusion and nonlocal prey consumption in shaping the population
distributions for interacting generalist predator and its focal prey
species. In this regard, we first derive the conditions associated with
Turing instability through linear analysis. Then, we perform a weakly
nonlinear analysis and derive a cubic Stuart-Landau equation governing
amplitude of the resulting patterns near Turing bifurcation boundary.
Further, we present a wide variety of numerical simulations to
corroborate our analytical findings as well as to illustrate some other
complex spatiotemporal dynamics. Interestingly, our study reveals the
existence of traveling wave solutions connecting two spatially
homogeneous coexistence steady states in Turing domain under the
influence of temporal bistability phenomenon. Also, our investigation
shows that nonlocal prey consumption acts as a stabilizing force for the
system dynamics.