In the relativistic sigma-omega model, the influence of the parameters in s
elf-interaction of sigma meson to the equation of state of normal nuclear m
atter, especially, to incompressibility, effective mass, and coupling const
ants, is studied in detail. We find that these parameters have an intense r
elationship to the property of nuclear matter. At the same time, we study t
he relation between the binding energy and pressure of relativistic Delta -
resonance nuclear matter and temperature using above results in the relativ
istic sigma-omega-pi model, and it is interesting to compare it to our prio
r work. In all these studies, the vacuum fluctuation on nucleon, Delta -iso
bar, and sigma meson is considered.