Results 11 to 20 of about 532 (176)
Polling systems and multitype branching processes [PDF]
Queueing Systems, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Resing, J.A.C., Resing, JAC Jacques
openaire +4 more sources
Extinction Times in Multitype Markov Branching Processes [PDF]
Journal of Applied Probability, 2009 In this paper, a distributional approximation to the time to extinction in a subcritical continuous-time Markov branching process is derived. A limit theorem for this distribution is established and the error in the approximation is quantified. The accuracy of the approximation is illustrated in an epidemiological example.
Heinzmann, D
openaire +3 more sources
Multitype branching processes observing particles of a given type [PDF]
Journal of Applied Probability, 2005 A multitype branching process is presented in the framework of marked trees and its structure is studied by applying the strong branching property. In particular, the Markov property and the expression for the generator are derived for the process whose components are the numbers of particles of each type.
CECI, Claudia, GERARDI A.
openaire +4 more sources
Simulating the Emergence and Survival of Mutations Using a Self Regulating Multitype Branching Processes [PDF]
Journal of Probability and Statistics, 2011 It is difficult for an experimenter to study the emergence and survival of mutations, because mutations are rare events so that large experimental population must be maintained to ensure a reasonable chance that a mutation will be observed. In his famous
Charles J. Mode +2 more
doaj +2 more sources
Critical Multitype Branching Processes with Random Migration
Stochastics and Quality ControlAbstract The aim of this paper is to introduce a multitype branching process with random migration following the research initiated with the Galton–Watson process with migration introduced in [N. M. Yanev and K. V. Mitov, Controlled branching processes: The case of random migration, C. R. Acad. Bulgare Sci. 33 1980, 4, 473–475]. We focus
Miguel González +2 more
openaire +3 more sources
Infectious Disease Modelling, 2018 Disease outbreaks in stochastic SIR epidemic models are characterized as either minor or major. When ℛ01, they can be minor or major. In 1955, Whittle derived formulas for the probability of a minor or a major epidemic.
William Tritch, Linda J.S. Allen
doaj +1 more source
The Coalescent Structure Of Uniform And Poisson Samples From Multitype Branching Processes
, 2023 International audienceWe introduce a Poissonization method to study the coalescent structure of uniform samples from branching processes. This method relies on the simple observation that a uniform sample of size k taken from a random set with positive ...
Johnston, Samuel, G G, Lambert, Amaury
core +1 more source
Functionals of Critical Multitype Branching Processes
The Annals of Probability, 1974 Let $\mathbf{Z}(t) = (\mathbf{Z}_1(t), \cdots, \mathbf{Z}_k(t)), t \geqq 0$, be a critical $k$-type, continuous time, Markov branching process. It is known that $\mathbf{Z}(t)/t$, conditioned on $\mathbf{Z}(t) \neq 0$, converges in distribution to $\mathbf{v}W$, where $\mathbf{v}$ is a vector determined by the mean matrix of the process, and $W$ is an ...
Athreya, K., Ney, P.
openaire +2 more sources
Stochastic two-group models with transmission dependent on host infectivity or susceptibility
Journal of Biological Dynamics, 2019 Stochastic epidemic models with two groups are formulated and applied to emerging and re-emerging infectious diseases. In recent emerging diseases, disease spread has been attributed to superspreaders, highly infectious individuals that infect a large ...
Aadrita Nandi, Linda J. S. Allen
doaj +1 more source
Modeling the within-host dynamics of cholera: bacterial–viral interaction
Journal of Biological Dynamics, 2017 Novel deterministic and stochastic models are proposed in this paper for the within-host dynamics of cholera, with a focus on the bacterial–viral interaction.
Xueying Wang, Jin Wang
doaj +1 more source