Results 21 to 30 of about 587 (192)
Informatics in Medicine Unlocked, 2023 Tuberculosis is a critical problem particularly in developing countries of Africa that has resulted in a high mortality rate. The disease is transmitted through air when a susceptible individual inhales Mycobacterium tuberculosis bacteria that have been ...
Farida Kisinda +2 more
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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
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Frontiers in Oncology, 2013 We present a stochastic model of driver mutations in the transition from severe congenital neutropenia to myelodysplastic syndrome to acute myeloid leukemia (AML). The model has the form of a multitype branching process.
Marek eKimmel, Seth eCorey
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Generating Functions of Stochastic L-Systems and Application to Models of Plant Development [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 If the interest of stochastic L-systems for plant growth simulation and visualization is broadly acknowledged, their full mathematical potential has not been taken advantage of.
Cedric Loi, Paul Henry Cournède
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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.
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A note on the extinction problem for controlled multitype branching processes [PDF]
, 2005 2000 Mathematics Subject Classification: 60J80, 60J10. In this paper we consider a discrete time controlled multitype branching process with random control in discrete time. We provide sufficient conditions for the almost sure extinction of the process as well as for its indefinite growth with a positive probability. Moreover an illustrative example is
Gonzalez, Miguel +2 more
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Results in Applied Mathematics, 2020 Bluetongue virus (BTV) is an important concern for the ruminant livestock industry owing to its high morbidity rate. It is mainly transmitted by a midge to a host (vectorial transmission) but even though its replication in the midge ceases during winter ...
Francis Mugabi +3 more
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, 2023 We study the asymptotic behavior of the probability of non extinction of a weakly subcritical multitype branching process in iid random environments. Under suitable assumptions, the survival probability is of order of $\rho^n n ^{-3/2}$ for some $\rho ...
Pham, Thi da Cam, Peigné, M, Pham, C
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On multitype branching processes with interaction
StochasticsMotivated by the stochastic Lotka-Volterra model, we introduce discrete-state interacting multitype branching processes. We show that they can be obtained as the sum of a multidimensional random walk with a Lamperti-type change proportional to the population size; and a multidimensional Poisson process with a time-change proportional to the pairwise ...
María Clara Fittipaldi, Sandra Palau
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Inequalities for Multitype Branching Processes
The Annals of Probability, 1973 Some results of the paper "Inequalities for Branching Processes" [Ann. Prob. 1 (1973)] by the same author are extended to a multitype branching process. Bounds are obtained on the probability of extinction and mean time to extinction of the process when the probability transition laws are allowed to vary from period to period and are required only to ...
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