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Geometric branching reproduction Markov processes
Modern Stochastics: Theory and Applications, 2020 We present a model of a continuous-time Markov branching process with the infinitesimal generating function defined by the geometric probability distribution.
Assen Tchorbadjieff, Penka Mayster
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A calculus of branching processes
Theoretical Computer Science, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ehrhard, Thomas +2 more
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Mathematical Modelling and Analysis, 2010 In this paper, we consider the Monte Carlo method for finding the solution of nonlinear integral equations at a fixed point xo‐ In this method, simulated Galton‐Watson branching process is employed for solving the proposed integral equation.
Behrouz Fathi Vajargah, Mojtaba Moradi
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A full lifespan model of vertebrate lens growth [PDF]
Royal Society Open Science, 2017 The mathematical determinants of vertebrate organ growth have yet to be elucidated fully. Here, we utilized empirical measurements and a dynamic branching process-based model to examine the growth of a simple organ system, the mouse lens, from E14.5 ...
Hrvoje Šikić +3 more
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Limiting Behaviors of Stochastic Spread Models Using Branching Processes
Axioms, 2023 In this paper, we introduce a spread model using multi-type branching processes to investigate the evolution of the population during a pandemic in which individuals are classified into different types.
Jyy-I Hong
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Branching Processes - A General Concept
Latin American Journal of Probability and Mathematical Statistics, 2021 The paper has four goals. First, we want to generalize the classical concept of the branching property so that it becomes applicable for historical and genealogical processes (using the coding of genealogies by ($V$-marked) ultrametric measure spaces leading to state spaces $\mathbb{U}$ resp. $\mathbb{U}^V$).
Greven, Andreas +2 more
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Strong convergence of an epidemic model with mixing groups
, 2023 We consider an SIR (susceptible → infective → recovered) epidemic in a closed population of size n, in which infection spreads via mixing events, comprising individuals chosen uniformly at random from the population, which occur at the points of a ...
Peter Neal +3 more
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Viral Marketing Branching Processes
SSRN Electronic Journal, 2022 We consider the inherent timeline structure of the appearance of content in online social networks (OSNs) while studying content propagation. We model the propagation of a post/content of interest by an appropriate multi-type branching process. The branching process allows one to predict the emergence of global macro properties (e.g., the spread of a ...
Ranbir Dhounchak +2 more
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Simply generated trees, conditioned Galton―Watson trees, random allocations and condensation: Extended abstract [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We give a unified treatment of the limit, as the size tends to infinity, of random simply generated trees, including both the well-known result in the standard case of critical Galton-Watson trees and similar but less well-known results in the other ...
Svante Janson
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Estimating the risk of re-emergence after stopping polio vaccination
Frontiers in Microbiology, 2012 Live vaccination against polio has effectively prevented outbreaks in most developed countries for more than 40 years, and there remain only a few countries where outbreaks of poliomyelitis by the wild strain still threaten the community.
Akira eSasaki +3 more
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