Mixed state branching evolution for cell division models
Probability
2023-11-21 v2
Abstract
We prove a scaling limit theorem for two-type Galton-Waston branching processes with interaction. The limit theorem gives rise to a class of mixed state branching processes with interaction using to simulate the evolution for cell division affected by parasites. Such process can also be obtained by the pathwise unique solution to a stochastic equation system. Moreover, we present sufficient conditions for extinction with probability one and the exponential ergodicity in the total variation distance of such process.
Cite
@article{arxiv.2307.00888,
title = {Mixed state branching evolution for cell division models},
author = {Shukai Chen and Lina Ji and Jie Xiong},
journal= {arXiv preprint arXiv:2307.00888},
year = {2023}
}