Infection in prey population may act as a biological control in ratio-dependent predator–prey models

Abstract

A ratio-dependent predator–prey model with infection in prey population is proposed and analysed. The behaviour of the system near the biological feasible equilibria is observed. The conditions for which no trajectory can reach the origin following any fixed direction or spirally are worked out. We investigate the criteria for which the system will persist. It is observed that the introduction of an infected population in the classical ratio-dependent predator–prey model may act as a biological control to save the population from extinction.