My mathematical research interests are in difference equations, discrete dynamical systems, local and global behavior of difference equations and applications to mathematical biology. I currently have two peer-reviewed journal articles:

D. McArdle and M.R.S. Kulenovic, Global dynamics of Leslie-Gower competitive systems in the plane, MDPI Mathematics, Volume 7, 2019

D. McArdle and O. Merino, Global dynamics of a Leslie host-parasite model, Journal of Difference Equations and Applications (2017), pp. 1-25.