Codimension-two bifurcation analysis at an endemic equilibrium state of a discrete epidemic model

Abstract

In this paper, we examined the codimension-two bifurcation analysis of a two-dimensional discrete epidemic model. More precisely, we examined the codimension-two bifurcation analysis at an endemic equilibrium state associated with $ 1:2 $, $ 1:3 $ and $ 1:4 $ strong resonances by bifurcation theory and series of affine transformations. Finally, theoretical results were carried out numerically.

Keywords

• codimension-two bifurcation
• strong resonances
• numerical simulation
• epidemic model
• affine transformations