This volume provides a broad overview of state-of-the-art research on dynamical systems on networks. The chapters are based on contributions to the Final Conference of the COST Action 'CA18232: Mat-Dyn-Net: Mathematical Models for Interacting Dynamics on Networks. Specific topics covered include:Spectral theory, and mathematical physicsKinetic and transport equationsBiological and biomedical modelsDifferential operators and differential equationsMathematical Models for Interacting Dynamics on Networks will appeal to researchers interested in these active areas.