论文信息 - General branching processes with immigration

General branching processes with immigration

A general multi-type branching process where new individuals immigrate according to some point process is considered. An intrinsic submartingale is defined and a convergence result for processes counted with random characteristics is obtained. Some examples are given.

Peter Olofsson

[1] Eugene Seneta,et al. On the supercritical Galton-Watson process with immigration , 1970 .

[2] P. Jagers,et al. Stabilities and instabilities in population dynamics , 1992 .

[3] Russell Lyons,et al. Conceptual proofs of L log L criteria for mean behavior of branching processes , 1995 .

[4] P. Jagers. General branching processes as Markov fields , 1989 .

[5] R. Durrett. Probability: Theory and Examples , 1993 .

[6] Olle Nerman,et al. On the convergence of supercritical general (C-M-J) branching processes , 1981 .