A limit theorem of two-type Galton-Watson branching processes with immigration
We provide a simple set of sufficient conditions for the weak convergence of two-type Galton-Watson branching processes with immigration to two-dimensional, continuous-time, continuous-state branching processes with immigration, which generalizes the limit result of Li [Li, Z.H., 2006a. A limit theorem of discrete Galton-Watson branching processes with immigration. J. Appl. Probab. 43, 289-295].