Stability and bifurcation analysis in a host–parasitoid model with Hassell growth function

Abstract

Abstract In this paper, a discrete-time host–parasitoid model with Hassell growth function for the host is considered. The sufficient conditions for the existence of the equilibrium points are obtained and a local stability analysis of the model is performed. By using the bifurcation theory it is shown that the system undergoes a Neimark–Sacker bifurcation. In addition, bifurcation diagrams and phase portraits of the model are given.

Keywords

• Equilibrium point
• Host–parasitoid model
• Local stability
• Population model