We investigate the equation of state of hadronic matter at finite values of baryon density and temperature reachable in high-energy heavy-ion collisions. The analysis is performed by requiring the Gibbs conditions on the global conservation of baryon number, electric charge fraction, and zero net strangeness. We consider an effective relativistic mean-field model with the inclusion of isobars, hyperons, and the lightest pseudoscalar and vector meson degrees of freedom. In this context, we study the influence of the -isobar degrees of freedom in the hadronic equation of state and, in connection, the behavior of different particle-antiparticle ratios and strangeness production. PACS number (s): 21.65.Mn, 25.75.−q 0556-2813/2010/81(4)/044909(13) 044909-1 A. LAVAGNO PHYSICAL REVIEW C 81, 044909 (2010) 044909-2 HOT AND DENSE HADRONIC MATTER IN AN EFFECTIVE . . . PHYSICAL REVIEW C 81, 044909 (2010)