  In this paper, we consider $n$-type Markov branching processes with
immigration and resurrection. The uniqueness criteria are first established.
Then, a new method is found and the explicit expression of extinction
probability is successfully obtained in the absorption case, the mean
extinction time is also given. The recurrence and ergodicity criteria are given
if the state ${\bf 0}$ is not absorptive. Finally, if the resurrection rates
are same as the immigration rates, the branching property and decay property
are discussed in detail, it is shown that the process is a superimposition of a
$n$-type branching process and an immigration. The exact value of the decay
parameter $\lambda_Z$ is given for the irreducible class ${\bf Z}_+^n$.
Moreover, the corresponding $\lambda_Z$-invariant measures/vectors and
quasi-distributions are presented.
