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The multiple birth properties of multi-type Markov branching processes
Junping Li, Wanting Zhang
The main purpose of this paper is to consider the multiple birth properties for multi-type Markov branching processes. We first construct a new multi-dimensional Markov process bas…
Birth-Death processes with two-type catastrophes
Junping Li
This paper concentrates on the general birth-death processes with two different types of catastrophes. The Laplace transform of transition probability function for birth-death proc…
Long-time behaviour of Galton-Watson systems with circular mechanism
Junping Li, Mixuan Hou
This paper concentrates on the limit behavior of discrete-time branching process with circular mechanism. Three types of limit behaviour of discrete-time branching process with cir…
The jumping properties of Markov branching processes
Yanyun Li, Junping Li
It is well-known that 0 is the absorbing state for a branching system. Each particle in the system lives a random long time and gives a random number of new particles at its death…
The M^X/M/c queue with state-dependent control at idle time and catastrophes
Junping Li, Lina Zhang
IIn this paper, we consider an M^X/M/c queue with state-dependent control at idle time and catastrophes. Properties of the queues which terminate when the servers become idle are f…