Dynamics of a Two Competing Prey-One Predator System with Fear Effect and Anti-Predator Behaviour

This paper examines the effect of fear and anti-predator behaviour in a two competing prey and one predator system. Here, one of the competing prey species is affected by the fear of predators while the other competing prey species shows anti-predator behaviour. Basic results on positivity, the boundedness of the solutions, local and global stability of the coexistence equilibrium point, uniform persistence, Hopf bifurcation and the nature of the limit cycle emerging through Hopf bifurcation are investigated. Numerical examples are provided to support our obtained results.