Stability analysis of a simple nutrient-prey-predator model with intratrophic predation in chemostat

A 3-dimensional nutrient-predator-prey model with intratrophic predation is proposed and studied. Some elementary properties such as invariance of non-negativity, boundedness and dissipativity of the system are presented. Next, we studied the existence and stability of equilibria along with the effects of intratrophic predation towards the positions and stability of those equilibria of the system. In the case when there is no presence of predator organisms, intratrophic predation may not give impact on the stability of equilibria of the system.