Nonlocal cooperative behaviour, psychological effects, and collective decision-making: an exemplification with predator-prey models
Sangeeta Saha, Swadesh Pal, Roderick Melnik

TL;DR
This paper investigates how nonlocal cooperative hunting strategies and psychological effects influence predator-prey dynamics, revealing complex pattern formations, traveling wave solutions, and the significance of psychological factors in collective behavior.
Contribution
It introduces a nonlocal term in predator-prey models to analyze cooperative hunting, Turing patterns, traveling waves, and psychological effects, providing new insights into collective behavior dynamics.
Findings
Turing instability analyzed for local and nonlocal models
Existence of non-monotonic traveling wave solutions
Wave trains formation under extended nonlocal interactions
Abstract
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…
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Taxonomy
TopicsEvolutionary Game Theory and Cooperation
