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We study the nonequilibrium phase transitions from the absorbing phase to theactive phase for the model of disease spreading(Susceptible-Infected-Refractory-Susceptible (SIRS)) on a regular onedimensional lattice. In this model, particles of three species (S, I and R) ona lattice react as follows: $S+I\rightarrow 2I$ with probability $\lambda$,$I\rightarrow R$ after infection time $\tau_I$ and $R\rightarrow I$ afterrecovery time $\tau_R$. In the case of $\tau_R>\tau_I$, this model has beenfound to has two critical thresholds separate the active phase from absorbingphases \cite{ali1}. The first critical threshold $\lambda_{c1}$ iscorresponding to a low infection probability and second critical threshold$\lambda_{c2}$ is corresponding to a high infection probability. At the firstcritical threshold $\lambda_{c1}$, our Monte Carlo simulations of this modelsuggest the phase transition to be of directed percolation class (DP). However,at the second critical threshold $\lambda_{c2}$ we observe that, the systembecomes so sensitive to initial values conditions which suggests the phasetransition to be discontinuous transition. We confirm this result using orderparameter quasistationary probability distribution and finite-size analysis forthis model at $\lambda_{c2}$. Additionally, the typical space-time evolution ofthis model at $\lambda_{c2}$ shows that, the spreading of active particles arecompact in a behavior which remind us the spreading behavior in the compactdirected percolation.14

Nonequilibrium phase transition of a one dimensional system reaches the absorbing state by two different ways