ContinuousMarkovProcess
ContinuousMarkovProcess[i0, q] represents a continuous-time finite-state Markov process with transition rate matrix q and initial state i0.
ContinuousMarkovProcess[p0, q] represents a Markov process with initial state probability vector p0.
ContinuousMarkovProcess[..., m, μ] represents a Markov process with transition matrix m and transition rates μ.
ContinuousMarkovProcess[..., g] represents a Markov process with transition rate matrix from the graph g.
Examples
Two-state continuous Markov process:
proc = ContinuousMarkovProcess[1, {{-1, 1}, {2, -2}}];
RandomFunction[proc, {0, 10}]Please visit the official Wolfram Language Reference for more details.