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Mixed-state branching evolution for cell division models
- Part of
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- Journal:
- Journal of Applied Probability , First View
- Published online by Cambridge University Press:
- 29 September 2025, pp. 1-22
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- Article
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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.
