Dynamical analysis of ant colony's collective decision making to explore food from two different resources

Abstract

A social insect-like Ant lives in a colony. Their collective behavior of food recruitment is a universal character. The mathematical model of the food recruitment of the ant colonies meets different challenges in resolving the nonlinearity due to choosing various food exploration contests between the ants and different environmental parameters. This study possesses several leading parameters to overcome the complexity of the model. Besides, the ants are exploring food sources in diverse trails with the intensity of a chemical substance of pheromone concentration also develops nonlinearity. For generality, this study evaluates two food sources of the ant colony's collective responses concerning environmental conditions without varying the ant's behaviors. The investigation of the ant's food quest in this work concentrates on the dynamical analysis of their food exploration from two different resources described by two ordinary nonlinear differentials equations (ODE). The mean-field model of ODE connected to their dynamical analysis demonstrates that food recruitment varies according to individual variability, supportive communication, and environmental restrictions establishing are connected to the stable or unstable system of the ODE.