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.