| 1 | -- | 2 | Paul K. Newton. Editorial January 2019 |
| 3 | -- | 27 | Chunxia Li, Shi-Hao Li. The Cauchy Two-Matrix Model, C-Toda Lattice and CKP Hierarchy |
| 29 | -- | 64 | Ruiwen Wu, Xiao-Qiang Zhao. A Reaction-Diffusion Model of Vector-Borne Disease with Periodic Delays |
| 65 | -- | 88 | Theodore D. Drivas. Turbulent Cascade Direction and Lagrangian Time-Asymmetry |
| 89 | -- | 113 | Darryl D. Holm. Stochastic Parametrization of the Richardson Triple |
| 115 | -- | 138 | Darryl D. Holm. Stochastic Evolution of Augmented Born-Infeld Equations |
| 139 | -- | 162 | Ayman Moussa, Benoît Perthame, Delphine Salort. Backward Parabolicity, Cross-Diffusion and Turing Instability |
| 163 | -- | 181 | C. Monica, M. Pitchaimani. Geometric Stability Switch Criteria in HIV-1 Infection Delay Model |
| 183 | -- | 206 | Roelof Bruggeman, Ferdinand Verhulst. Near-Integrability and Recurrence in FPU Chains with Alternating Masses |
| 207 | -- | 213 | Quoc-Hung Nguyen, Phuoc-Tai Nguyen. Onsager's Conjecture on the Energy Conservation for Solutions of Euler Equations in Bounded Domains |
| 215 | -- | 228 | John D. Gibbon. Weak and Strong Solutions of the 3D Navier-Stokes Equations and Their Relation to a Chessboard of Convergent Inverse Length Scales |
| 229 | -- | 253 | Yury Grabovsky, Lev Truskinovsky. When Rank-One Convexity Meets Polyconvexity: An Algebraic Approach to Elastic Binodal |
| 255 | -- | 285 | Richard Samuelson, Zachary Singer, Jasper Weinburd, Arnd Scheel. Advection and Autocatalysis as Organizing Principles for Banded Vegetation Patterns |
| 287 | -- | 318 | Xiuli Sun, Rong Yuan, Luan Wang. Bifurcations in a Diffusive Predator-Prey Model with Beddington-DeAngelis Functional Response and Nonselective Harvesting |
| 319 | -- | 344 | Riccardo Scala, Nicolas Van Goethem. Variational Evolution of Dislocations in Single Crystals |