Work

Mixed-state branching evolution for cell division models

Year: 2025

Type: article

Abstract: We prove a scaling limit theorem for two-type Galton–Watson branching processes with interaction. The limit theorem gives rise to a class of mixed-state branching processes with interaction used to simulate evolution for cell division affected by parasites. Such processes can also be obtained by the pathwise-unique solution to a stochastic equation system. Moreover, we present sufficient conditions for extinction with probability 1 and the exponential ergodicity in the $L^1$ -Wasserstein distance of such processes in some cases.

Source: Journal of Applied Probability

DOI: 10.1017/jpr.2025.10028

Authors: Shukai Chen, Lina Ji, Jie Xiong

Institutions: Fujian Normal University, Shenzhen MSU-BIT University, Southern University of Science and Technology

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, China Postdoctoral Science Foundation, Basic and Applied Basic Research Foundation of Guangdong Province

Awards: G3680598195, G4438421012, G5365467871