@article{Liu2022, 
author = {Xijuan Liu and Peng Liu and Yun Liu},
title = {The existence of codimension-two bifurcations in a discrete-time SIR epidemic model},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {3},
pages = {3360-3378},
keywords = {SIR epidemic model, two-dimensional parameter space, chaos, codimension-two bifurcation},
url = {https://www.sciopen.com/article/10.3934/math.2022187},
doi = {10.3934/math.2022187},
abstract = {In this paper, we consider a discrete-time SIR epidemic model. Codimension-two bifurcations associated with 1:2, 1:3 and 1:4 strong resonances are analyzed by using a series of affine transformations and bifurcation theory. Numerical simulations are carried out to verify and illustrate these theoretical results. More precisely, two kinds of high-resolution stability phase diagrams are exhibited to describe how the system's complexity unfolds with control parameters varying.}
}