Dynamics of a ratio-dependent eco-epidemiological system with prey harvesting

In this article, we study a ratio-dependent eco-epidemiological system where prey population is subjected to harvesting. Mathematical results like positive invariance, boundedness, stability of equilibria, and permanence of the system have been established. The dynamics of zero equilibria have been thoroughly investigated to find out conditions on the system parameters such that trajectories starting from the domain of interest can reach a zero equilibrium following any fixed direction. We have also studied suitable conditions for non-existence of a periodic solution around the interior equilibrium. Computer simulations have been carried out to illustrate different analytical findings.