Stationary distribution of a reaction-diffusion hepatitis B virus infection model driven by the Ornstein-Uhlenbeck process. [PDF]
PLoS ONE, 2023 A reaction-diffusion hepatitis B virus (HBV) infection model based on the mean-reverting Ornstein-Uhlenbeck process is studied in this paper. We demonstrate the existence and uniqueness of the positive solution by constructing the Lyapunov function.
Zhenyu Zhang +2 more
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Asymmetric autocatalytic reactions and their stationary distribution [PDF]
Royal Society Open ScienceWe consider a general class of autocatalytic reactions, which has been shown to display stochastic switching behaviour (discreteness-induced transitions (DITs)) in some parameter regimes.
Cameron Gallinger, Lea Popovic
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The morphing of fluid queues into Markov-modulated Brownian motion [PDF]
Stochastic Systems, 2015 Ramaswami showed recently that standard Brownian motion arises as the limit of a family of Markov-modulated linear fluid processes.We pursue this analysis with a fluid approximation for Markov-modulated Brownian motion.
Guy Latouche, Giang T. Nguyen
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Testing Uniformity of Stationary Distribution [PDF]
, 2016 A random walk on a directed graph gives a Markov chain on the vertices of the graph. An important question that arises often in the context of Markov chain is whether the uniform distribution on the vertices of the graph is a stationary distribution of ...
Chakraborty, Sourav +2 more
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Stationary distribution and probability density for a stochastic SEIR-type model of coronavirus (COVID-19) with asymptomatic carriers. [PDF]
Chaos Solitons Fractals, 2023 Liu Q, Jiang D.
europepmc +3 more sources
Stationary distribution of self-organized states and biological information generation. [PDF]
Sci Rep, 2013 Woo HJ.
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Variational formulation of stationary two-phase flow distribution
Case Studies in Thermal Engineering, 2021 This paper discusses the extremisation of the entropy production in fluidic networks to gain insight into using non-equilibrium thermodynamics for mathematically formulating thermal engineering transfer phenomena.
Niccolo Giannetti +3 more
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Performance characteristics of the fork-join queuing system
Informatika, 2023 Objectives. The problem of investigating a fork-join queuing system is considered. It is required to build the process of the system functioning, to find the condition for the existence of a stationary distribution, and propose algorithms for calculating
V. I. Klimenok
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On Some Stationary INAR(1) Processes with Compound Poisson Distributions
Revstat Statistical Journal, 2023 Aly and Bouzar ([2]) used the backward approach in presence of the binomial thinning operator to construct underdispersed stationary first-order autoregressive integer valued (INAR (1)) processes.
Emad-Eldin A. A. Aly, Nadjib Bouzar
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Barekeng, 2023 Discrete-time of Markov chains, starting now referred to as Markov chains, have been widely used by previous researchers in predicting the phenomenon. The predictions were made by manual calculations and using separate software, including Maple, Matlab ...
Putri Monika +3 more
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