Results 11 to 20 of about 884 (117)

Advantage and Disadvantage of Dispersal in Two-Species Competition Models

open access: yesCSIAM Transactions on Applied Mathematics, 2020
We consider a two-species competition model in which both populations are identical except their movement strategies: One species moves upward along the fitness gradient, while the other does not diffuse.
M. Lou
semanticscholar   +1 more source

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

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

Large Time Behaviour of the Solution of a Nonlinear Diffusion Problem in Anthropology

open access: yesJournal of Mathematical Study, 2018
In this article we consider a reaction-diffusion model for the spreading of farmers in Europe, which was occupied by hunter-gatherers; this process is known as the Neolithic agricultural revolution.
J. Eliaš
semanticscholar   +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

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

LOCAL-IN-TIME SOLVABILITY OF TARGET DETECTION MODEL IN MOLECULAR COMMUNICATION NETWORK

open access: yesInternational Journal of Apllied Mathematics, 2018
This paper is concerned with a model of the target detection that is actively discussed in the study of molecular communication network these days. We first verify the solvability of the stationary problem, and then the existence of a strong local-in ...
H. Honda
semanticscholar   +1 more source

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

Growth of Phytoplankton

open access: yesBiomedical Journal of Scientific & Technical Research, 2019
A central problem in biological dynamical systems is to determine the boundaries of evolution. Although this is a general problem, we prefer to give solutions for growth of the phytoplankton. AMS Mathematical Classiftcation: 92D40, 35B36, 35Q92, 37N25.
C. Udrişte   +5 more
semanticscholar   +1 more source

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

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