Modeling HIV epidemic under contact tracing -- the Cuban case.
Modelling the Spread of Infectious Diseases in Complex Metapopulations
Two main approaches have been considered for modelling the dynamics of the SIS model on complex metapopulations, i.e, networks of populations connected by migratory flows whose configurations are described in terms of the connectivity distribution of nodes (patches) and the conditional probabilities of connections among classes of nodes sharing the same degree. In the first approach migration and transmission/recovery process alternate sequentially,...
Moderate deviations and laws of the iterated logarithm for the renormalized self-intersection local times of planar random walks.
Moderate deviations and laws of the iterated logarithm for the volume of the intersections of Wiener sausages.
Moderate deviations for diffusions in a random gaussian shear flow drift
Moderate deviations for stable Markov chains and regression models.
Moderate deviations type evaluation for integral functionals of diffusion processes.
Molecular motors and stochastic networks
Molecular motors are nano- or colloidal machines that keep the living cell in a highly ordered, stationary state far from equilibrium. This self-organized order is sustained by the energy transduction of the motors, which couple exergonic or 'downhill' processes to endergonic or 'uphill' processes. A particularly interesting case is provided by the chemomechanical coupling of cytoskeletal motors which use the chemical energy released during ATP hydrolysis in order to generate mechanical forces and...
Moment matrix of self-similar measures.
Moments of gamma type and the Brownian supremum process area.
Moments of passage times for Lévy processes
Moments of stochastic processes governed by Poisson random measures
Monotone approximation of energy functionals for mappings into metric spaces, I.
Monotone measures of ergodicity for Markov chains.
Monotonicity and comparison results for nonnegative dynamic systems. Part II: Continuous-time case
This second Part II, which follows a first Part I for the discrete-time case (see [DijkSl1]), deals with monotonicity and comparison results, as generalization of the pure stochastic case, for stochastic dynamic systems with arbitrary nonnegative generators in the continuous-time case. In contrast with the discrete-time case the generalization is no longer straightforward. A discrete-time transformation will therefore be developed first. Next, results from Part I can be adopted. The conditions,...
Monotonicity and comparison results for nonnegative dynamic systems. Part I: Discrete-time case
In two subsequent parts, Part I and II, monotonicity and comparison results will be studied, as generalization of the pure stochastic case, for arbitrary dynamic systems governed by nonnegative matrices. Part I covers the discrete-time and Part II the continuous-time case. The research has initially been motivated by a reliability application contained in Part II. In the present Part I it is shown that monotonicity and comparison results, as known for Markov chains, do carry over rather smoothly...
Monte Carlo podle Markova
Monte Carlo simulation and analytic approximation of epidemic processes on large networks
Low dimensional ODE approximations that capture the main characteristics of SIS-type epidemic propagation along a cycle graph are derived. Three different methods are shown that can accurately predict the expected number of infected nodes in the graph. The first method is based on the derivation of a master equation for the number of infected nodes. This uses the average number of SI edges for a given number of the infected nodes. The second approach is based on the observation that the epidemic...
Monte Carlo simulation of Markov chain steady-state distribution.
More on existence and uniqueness of decomposition of excessive functions and measures into extremes