Kinetic growth percolation: Epidemic processes with immunization

Nonequilibrium phase transitions of kinetic growth percolation, a kinetic growth process which exhibits a percolating-nonpercolating phase transition, are investigated on the basis of a mean-field theory and/or a real-space renormalization-group method. Phase diagrams, critical exponents, and spreading velocities are calculated explicitly for several models describing epidemic processes with immunization or autocatalytic chemical reactions. The existence and the nature of phase transitions and critical behavior are clarified.