Results 11 to 20 of about 854 (99)

A reaction-diffusion system to better comprehend the unlockdown: Application of SEIR-type model with diffusion to the spatial spread of COVID-19 in France

open access: yesComputational and Mathematical Biophysics, 2020
We wondered that if a reaction-diffusion model considering only the mean daily movement of susceptible, exposed and asymptomatic individuals was enough to describe the spread of the COVID-19 virus.
Mammeri Youcef
doaj   +1 more source

Boundary layer analysis for a 2-D Keller-Segel model

open access: yesOpen Mathematics, 2020
We study the boundary layer problem of a Keller-Segel model in a domain of two space dimensions with vanishing chemical diffusion coefficient. By using the method of matched asymptotic expansions of singular perturbation theory, we construct an accurate ...
Meng Linlin, Xu Wen-Qing, Wang Shu
doaj   +1 more source

From Nash to Cournot-Nash equilibria via the Monge-Kantorovich problem [PDF]

open access: yes, 2014
The notion of Nash equilibria plays a key role in the analysis of strategic interactions in the framework of $N$ player games. Analysis of Nash equilibria is however a complex issue when the number of players is large.
Blanchet, Adrien, Carlier, Guillaume
core   +6 more sources

Modelling adhesion-independent cell migration [PDF]

open access: yes, 2020
A two-dimensional mathematical model for cells migrating without adhesion capabilities is presented and analyzed. Cells are represented by their cortex, which is modelled as an elastic curve, subject to an internal pressure force.
Jankowiak, Gaspard   +4 more
core   +5 more sources

Well-posedness and asymptotic behavior of a multidimensional model of morphogen transport [PDF]

open access: yes, 2011
Morphogen transport is a biological process, occurring in the tissue of living organisms, which is a determining step in cell differentiation. We present rigorous analysis of a simple model of this process, which is a system coupling parabolic PDE with ...
A. Kicheva   +9 more
core   +2 more sources

Global solvability in a three-dimensional Keller-Segel-Stokes system involving arbitrary superlinear logistic degradation

open access: yesAdvances in Nonlinear Analysis, 2020
The Keller-Segel-Stokes ...
Wang Yulan   +2 more
doaj   +1 more source

On the variations of the principal eigenvalue with respect to a parameter in growth-fragmentation models [PDF]

open access: yes, 2017
We study the variations of the principal eigenvalue associated to a growth-fragmentation-death equation with respect to a parameter acting on growth and fragmentation. To this aim, we use the probabilistic individual-based interpretation of the model. We
Campillo, Fabien   +2 more
core   +5 more sources

Vanishing viscosities and error estimate for a Cahn-Hilliard type phase field system related to tumor growth [PDF]

open access: yes, 2015
In this paper we perform an asymptotic analysis for two different vanishing viscosity coefficients occurring in a phase field system of Cahn-Hilliard type that was recently introduced in order to approximate a tumor growth model. In particular, we extend
Colli, Pierluigi   +3 more
core   +3 more sources

Global stability for the prion equation with general incidence [PDF]

open access: yes, 2015
We consider the so-called prion equation with the general incidence term introduced in [Greer et al., 2007], and we investigate the stability of the steady states. The method is based on the reduction technique introduced in [Gabriel, 2012]. The argument
Gabriel, Pierre
core   +3 more sources

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