Phase Transitions in Parallel Replication Process
  The one-dimensional kinetic contact process with parallel update is introduced and studied by Monte Carlo simulations. This process is proposed to describe the plant population replication and epidemic disease spreading among them. The phase diagram of the model features the line of the second order transitions between absorbing and active phases. The numerical results for the critical index beta demonstrate its continuous variation along the transition line accompanied by the variations of the structural characteristics of limiting steady states. We conjecture the non-universality of the critical behavior of the model. 
P.N. Timonin, G.Y. Chitov