  In bio-social models, cooperative behaviour has evolved as an adaptive
strategy, playing multi-functional roles. One of such roles in populations is
to increase the success of survival and reproduction of individuals and their
families or social groups. Moreover, collective decision-making in cooperative
behaviour is an aspect that is used to study the dynamic behaviour of
individuals within a social group. In this paper, we have focused on population
dynamics by considering a predator-prey model as our main exemplification,
where the generalist predator has adopted a cooperative hunting strategy while
consuming their prey. In particular, we have analyzed the dynamic nature of the
system when a nonlocal term is introduced in the cooperation. First, the Turing
instability condition has been studied for the local model around the
coexisting steady-state, followed by the Turing and non-Turing patterns in the
presence of the nonlocal interaction term. This work is also concerned with the
existence of travelling wave solutions for predator-prey interaction with the
nonlocal cooperative hunting strategy. Such solutions are reported for local as
well as for nonlocal models. We have characterized the invading speed of the
predator with the help of the minimal wave speed of travelling wave solutions
connecting the predator-free state to the co-existence state. The travelling
waves are found to be non-monotonic in this system. The formation of wave
trains has been demonstrated for an extended range of nonlocal interactions.
Finally, the importance of psychological effects in shaping the dynamics of
nonlocal collective behaviour is demonstrated with several representative
examples.
