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A recently proposed density-dependent van der Waals model, with only $4$ freeparameters adjusted to fix binding energy, saturation density, symmetry energy,and incompressibility, is analyzed under symmetric and asymmetric nuclearmatter constraints. In a previous paper, it was shown that this model is fullyconsistent with the constraints related to the binary neutron star merger eventnamed GW170817 and reported by the LIGO and Virgo collaboration. Here, we showthat it also describes satisfactorily the low and high-density regions ofsymmetric nuclear matter, with all the main constraints satisfied. We alsofound a linear correlation between the incompressibility and the skewnessparameter, both at the saturation density and show how it relates to thecrossing point presented in the incompressibility as a function of the density.In the asymmetric matter regime, other linear correlations are found, namely,the one between the symmetry energy ($J$) and its slope ($L_0$), and other oneestablishing the symmetry energy curvature as a function of the combinationgiven by $3J-L_0$.

Constraints and correlations of nuclear matter parameters from a density-dependent van der Waals model