A branching process model for dormancy and seed banks in randomly fluctuating environments
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Biology"
DOI: 10.1007/s00285-021-01639-6
Abstract: The goal of this article is to contribute towards the conceptual and quantitative understanding of the evolutionary benefits for (microbial) populations to maintain a seed bank consisting of dormant individuals when facing fluctuating environmental conditions.… read more here.
Keywords: seed; dormancy seed; model dormancy; branching process ... See more keywords
A model of COVID-19 propagation based on a gamma subordinated negative binomial branching process
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DOI: 10.1016/j.jtbi.2020.110536
Abstract: We build a parsimonious Crump-Mode-Jagers continuous time branching process of COVID-19 propagation based on a negative binomial process subordinated by a gamma subordinator. By focusing on the stochastic nature of the process in small populations,… read more here.
Keywords: propagation; covid propagation; propagation based; process ... See more keywords
Random self-similar trees and a hierarchical branching process
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DOI: 10.1016/j.spa.2018.07.015
Abstract: We study self-similarity in random binary rooted trees. In a well-understood case of Galton-Watson trees, a distribution on a space of trees is said to be self-similar if it is invariant with respect to the… read more here.
Keywords: self similar; process; branching process; self similarity ... See more keywords
Using a household-structured branching process to analyse contact tracing in the SARS-CoV-2 pandemic
Sign Up to like & getrecommendations! Published in 2021 at "Philosophical Transactions of the Royal Society B: Biological Sciences"
DOI: 10.1098/rstb.2020.0267
Abstract: We explore strategies of contact tracing, case isolation and quarantine of exposed contacts to control the SARS-CoV-2 epidemic using a branching process model with household structure. This structure reflects higher transmission risks among household members… read more here.
Keywords: sars cov; branching process; household; contact tracing ... See more keywords
Cancer recurrence times from a branching process model
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DOI: 10.1371/journal.pcbi.1007423
Abstract: As cancer advances, cells often spread from the primary tumor to other parts of the body and form metastases. This is the main cause of cancer related mortality. Here we investigate a conceptually simple model… read more here.
Keywords: recurrence; model; primary tumor; branching process ... See more keywords
The Asymptotic Behavior for Generalized Jiřina Process
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DOI: 10.3390/axioms12010013
Abstract: As the classic branching process, the Galton-Watson process has obtained intensive attentions in the past decades. However, this model has two idealized assumptions–discrete states and time-homogeneity. In the present paper, we consider a branching process… read more here.
Keywords: branching process; behavior generalized; asymptotic behavior; generalized ina ... See more keywords