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We study the two-species symbiotic contact process (2SCP), recently proposedin [de Oliveira, Santos and Dickman, Phys. Rev. E {\bf 86}, 011121 (2012)] . Inthis model, each site of a lattice may be vacant or host single individuals ofspecies A and/or B. Individuals at sites with both species present interact ina symbiotic manner, having a reduced death rate, $\mu < 1$. Otherwise, thedynamics follows the rules of the basic CP, with individuals reproducing tovacant neighbor sites at rate $\lambda$ and dying at a rate of unity. Wedetermine the full phase diagram in the $\lambda-\mu$ plane in one and twodimensions by means of exact numerical quasistationary distributions, clusterapproximations, and Monte Carlo simulations. We also study the effects ofasymmetric creation rates and diffusion of individuals. In two dimensions, forsufficiently strong symbiosis (i.e., small $\mu$), the absorbing-state phasetransition becomes discontinuous for diffusion rates $D$ within a certainrange. We report preliminary results on the critical surface and tricriticalline in the $\lambda-\mu-D$ space. Our results raise the possibility thatstrongly symbiotic associations of mobile species may be vulnerable to suddenextinction under increasingly adverse conditions.

Phase diagram of the symbiotic two-species contact process