Results 11 to 20 of about 854 (99)
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
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Boundary layer analysis for a 2-D Keller-Segel model
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
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From Nash to Cournot-Nash equilibria via the Monge-Kantorovich problem [PDF]
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
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Modelling adhesion-independent cell migration [PDF]
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
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Well-posedness and asymptotic behavior of a multidimensional model of morphogen transport [PDF]
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
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The Keller-Segel-Stokes ...
Wang Yulan +2 more
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On the variations of the principal eigenvalue with respect to a parameter in growth-fragmentation models [PDF]
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
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Vanishing viscosities and error estimate for a Cahn-Hilliard type phase field system related to tumor growth [PDF]
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
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Global stability for the prion equation with general incidence [PDF]
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
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