The conservingσ-ω-ρmean-field approximation with nonlinear interactions of hadrons has been appliedto examine properties of nuclear matter and hyperonic neutron stars. The nonlinear interactions that willproduce density-dependent effective masses and coupling constants of hadrons are included in order toexamine density correlations among properties of nuclear matter and neutron stars such as binding energy,incompressibility,K, symmetry energy,a4, hyperon-onset density, and maximum masses of neutron stars.The conditions of conserving approximations in order to maintain thermodynamic consistency to anapproximation are essential for the analysis of density-dependent correlations.
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