Emergent impacts of alternative resource in cannibalistic predator–prey system

Abstract

In this paper, a predator–prey model with cannibalistic effect in predator is presented. Naturally, juveniles predators are captured by their own adult predators in water population system. To reduce such conspecific capturing, alternative resource is supplied to adult predators as a supplementary food. The model is analyzed in terms of theoretical and numerical point of view. The conditions for local and global stability around existing equilibrium points, persistence, and Hopf bifurcation are derived theoretically. Numerical experiments illustrate that the extinction possibility of predator population can be reduced providing suitable alternative resources to adult predators. The impacts of alternative resource supply with the variation of other parameters are shown in the model. The dynamical relationship between the strength of cannibalism and alternative resource supply is also drawn. The model is useful specially in fishery system.