Convergence of a Critical Multitype Bellman-Harris Process
Convergence of a Critical Multitype Bellman-Harris Process
In this work, we study a two-type critical branching particle system in $\mathbb{R}^{N}$, where particles follow symmetric stable motions, with type-dependent lifetimes and offspring distributions. Our main result is the convergence as $t\to\infty$ of the particle system to a non-trivial limiting population, focusing on two cases: (1) all particle lifetimes …