References & Citations
Mathematics > Probability
Title: Mixed state branching evolution for cell division models
(Submitted on 3 Jul 2023 (v1), last revised 19 Nov 2023 (this version, 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.
Submission history
From: Ji Lina [view email][v1] Mon, 3 Jul 2023 09:37:57 GMT (18kb)
[v2] Sun, 19 Nov 2023 12:16:18 GMT (21kb)
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