Dynamical response of an eco-epidemiological system with harvesting

Abstract

This article presents a study of Leslie–Gower predator–prey system to investigate the dynamics of disease transmission among predator species. The system includes the harvesting of infected predator. The positivity, boundedness of the solutions and permanence of the system are taken into consideration. The stability and Hopf bifurcation analyses around biologically feasible equilibria are scrutinized. The harvesting of infected predator plays a crucial role for the occurrence of limit cycle oscillations and stability around the interior equilibrium point. Our results disclose that infected predator harvesting has a considerable consequence on the eco-epidemiological system. The optimal control theory has been applied to investigate optimal strategies for controlling the infection. Analytical findings are confirmed through numerical simulations.