The Effect of Fear on a Diseased Prey–Predator Model with Predator Harvesting

Abstract

In this paper, we examine the impact of fear in an eco-epidemiological model with predator harvesting and infection in a prey population. The effect of fear on susceptible prey due to infected prey was discussed. A predator consumes susceptible and infected prey at various rates in the form of a Holling type II Functional response. To examine the positivity and the boundedness of the solutions, the stability of all biologically feasible equilibrium points, and the Hopf bifurcation of the endemic equilibrium of the system, were derived. A numerical simulation was performed to support our analytical findings.

Keywords

• bifurcation
• stability
• refuge
• predator harvesting
• fear