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Displaying 101 –
120 of
133
We consider the problem of providing optimal uncertainty quantification (UQ) – and hence rigorous certification – for partially-observed functions. We present a UQ framework within which the observations may be small or large in number, and need not carry information about the probability distribution of the system in operation. The UQ objectives are posed as optimization problems, the solutions of which are optimal bounds on the quantities of interest; we consider two typical settings, namely parameter...
We propose a matrix population modelling
approach in order to describe the dynamics of a grayling
(Thymallus thymallus, L. 1758) population living in the Ain
river (France). We built a Leslie like model, which integrates the
climate changes in terms of temperature and discharge. First, we
show how temperature and discharge can be related to life history
traits like survival and reproduction. Second, we show how to use
the population model to precisely examine the life cycle of
grayling : estimated...
Early studies of the novel swine-origin 2009 influenza A (H1N1) epidemic indicate
clinical attack rates in children much higher than in adults. Non-medical interventions
such as school closings are constrained by their large socio-economic costs. Here we
develop a mathematical model to ascertain the roles of pre-symptomatic influenza
transmission as well as symptoms surveillance of children to assess the utility of school
closures. Our model analysis...
Motivated by the development of efficient Monte Carlo methods
for PDE models in molecular dynamics,
we establish a new probabilistic interpretation of a family of divergence form
operators with discontinuous coefficients at the interface
of two open subsets of . This family of operators includes the case of the
linearized Poisson-Boltzmann equation used to
compute the electrostatic free energy of a molecule.
More precisely, we explicitly construct a Markov process whose
infinitesimal generator...
We investigate the structure of
travelling waves for a model of a fungal disease propagating over
a vineyard. This model is based on a set of ODEs of the SIR-type
coupled with two reaction-diffusion equations describing the
dispersal of the spores produced by the fungus inside and over the
vineyard. An estimate of the biological parameters in the model
suggests to use a singular perturbation analysis. It allows us to
compute the speed and the profile of the travelling waves. The
analytical results...
Due to wide range of interest in use of bio-economic models
to gain insight into the scientific management of renewable resources like
fisheries and forestry,variational iteration method (VIM) is employed to
approximate the solution of the ratio-dependent predator-prey system with
constant effort prey harvesting.The results are compared with the results
obtained by Adomian decomposition method and reveal that VIM is very
effective and convenient for solving nonlinear differential equations.
In this article we discuss some issues related to Air Pollution modelling (as viewed by the authors): subgrid parametrization, multiphase modelling, reduction of high dimensional models and data assimilation. Numerical applications are given with POLAIR, a 3D numerical platform devoted to modelling of atmospheric trace species.
In this paper, we investigate the complex dynamics of a spatial plankton-fish system with
Holling type III functional responses. We have carried out the analytical study for both
one and two dimensional system in details and found out a condition for diffusive
instability of a locally stable equilibrium. Furthermore, we present a theoretical
analysis of processes of pattern formation that involves organism distribution and their
interaction of spatially...
For an SI type endemic model with one host and two parasite strains, we study the
stability of the endemic coexistence equilibrium, where the host and both parasite strains
are present. Our model, which is a system of three ordinary differential equations,
assumes complete cross-protection between the parasite strains and reduced fertility and
increased mortality of infected hosts. It also assumes that one parasite strain is
exclusively vertically...
This work aims at introducing modelling, theoretical and numerical studies related to a new downscaling technique applied to computational fluid dynamics.
Our method consists in building a local model, forced by large scale information computed thanks to a classical numerical weather predictor.
The local model, compatible with the Navier-Stokes equations, is used
for the small scale computation (downscaling) of the considered
fluid. It is
inspired by Pope's works on turbulence, and consists in...
Currently displaying 101 –
120 of
133