A Predator–Prey Two-Sex Branching Process
Mathematics, 2020 In this paper, we present the first stochastic process to describe the interaction of predator and prey populations with sexual reproduction. Specifically, we introduce a two-type two-sex controlled branching model.
Cristina Gutiérrez, Carmen Minuesa
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Cancer recurrence times from a branching process model. [PDF]
PLoS Computational Biology, 2019 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.
Stefano Avanzini, Tibor Antal
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A hybrid Ornstein–Uhlenbeck–Branching framework unifies microbial and pediatric tumor evolution [PDF]
Frontiers in OncologyIntroductionPediatric tumors can relapse despite low mutation burdens, suggesting hybrid evolutionary dynamics shaped by stochastic variability and stabilizing forces.
Seung-Hwan Kim
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The Branching Process: A General Conceptual Framework for Addressing Current Ecological and Evolutionary Questions [PDF]
LifeClassical branching-process theory, developed by Galton and Watson in the nineteenth century and later refined by Fisher and Haldane, provides the formal framework for quantifying the fate of new mutants, new viral and bacterial pathogens, new ...
Xuhua Xia
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Characterizing Information Propagation in Social Media with Branching Processes [PDF]
EntropyInformation propagation in social media has attracted the wide attention of scholars, with great progress made in empirical and modeling studies.
Xiaofang Luo, Haibo Hu, Qingsong Sun
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Genotype-Specific Measles Transmissibility: A Branching Process Analysis. [PDF]
Clin Infect Dis, 2018 Ackley SF +6 more
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Applications of the Delay Stochastic Simulation Algorithm (DSSA) in Mathematical Epidemiology
Mathematics, 2022 The calculation of the probability of a minor outbreak is crucial in analyzing a stochastic epidemic model. For stochastic epidemic models with fixed delays, the linear chain trick is applied to transform the delayed models into a family of ODE models ...
Fan Bai
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SimuBP: A Simulator of Population Dynamics and Mutations Based on Branching Processes
Axioms, 2023 Originating from the Luria–Delbrück experiment in 1943, fluctuation analysis (FA) has been well developed to demonstrate random mutagenesis in microbial cell populations and infer mutation rates.
Xiaowei Wu
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A Generalized Age-Dependent Branching Process and Its Limit Distribution [PDF]
The Egyptian Statistical Journal, 1970 An age-dependent continuous parameter branching stochastic process Xₙ(t) is considered, where Xₙ (t) is the number of particles in the population at time t and N is the initial size of the population. If the probabilities of splits depend on N.
I. Shimi
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Modelling the impact of travel restrictions on COVID-19 cases in Newfoundland and Labrador
Royal Society Open Science, 2021 In many jurisdictions, public health authorities have implemented travel restrictions to reduce coronavirus disease 2019 (COVID-19) spread. Policies that restrict travel within countries have been implemented, but the impact of these restrictions is not ...
Amy Hurford +2 more
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