In this paper, we consider the decay properties of n-type Markov branching processes with disasters, including the decay parameter and invariant measures. It is first proved that the corresponding q-matrix Q is always regular and thus that the Feller minimal Q-process is honest. Then, the exact value of the decay parameter λC is obtained. We prove that the decay parameter can be easily expressed explicitly Furthermore, we prove that the Markov branching process with disasters is always λC-positive. The invariant vectors and the invariant measures are given explicitly.

EB00000003337K

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