Dynamical analysis in predator-prey-scavenger model with harvesting intervention on prey population

Abstract

This study deals with the interaction between predator, prey, and scavenger. In our model, we assume that the prey population grows following a logistic model with predation from predator and scavenger. Harvesting intervention included in the prey population to understand scenarios where the prey has competitive effects upon the other species. The analytical result began with a non-dimensionalization process to the original model, which successfully reduced the number of parameters of the model. Equilibrium points were shown analytically. Local stability of the fixed point was analyzed using a respected Jacobian matrix of each fixed point. The sensitivity an alysis of the model regarding the harvesting rate was conducted numerically. We find that whenever the harvesting in the prey population becomes uncontrolled (above the upper bound), then the predator and scavenger population will die out together with the prey population. We also find that the time scale separation from the non-dimensionalization process does not change the stability criteria of the fixed point.