In the mean field approximation of nonlinear relativistic σ-ω-ρ model, we have studied the influence of density-dependent coupling constants between nucleons and mesons on the equation of state (EOS) of infinite symmetric nuclear matter in different conditions. We find that the EOS of nuclear matter will become stiffer as c, d in the selfinteraction of σ meson increase when the coefficients except aω in Γω, in which the opposite occurs, are fixed. On the other hand, greater values of aσ, bσ, cσ, aω, dω and smaller values of dσ, bω, cω will lead to stiffer EOS if c and d are fixed. Besides, greater values of Γσ,ω lead to stiffer EOS in high density region for the EOS with same incompressibility coefficient at saturation density.
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