Results 11 to 20 of about 1,742 (157)
Boundary spike‐layer solutions of the singular Keller–Segel system: existence and stability
Proceedings of the London Mathematical Society, Volume 122, Issue 1, Page 42-68, January 2021., 2021 Abstract We explore the existence and nonlinear stability of boundary spike‐layer solutions of the Keller–Segel system with logarithmic singular sensitivity in the half space, where the physical zero‐flux and Dirichlet boundary conditions are prescribed.
Jose A. Carrillo +2 more
wiley +1 more source
Port-Hamiltonian model of two-dimensional shallow water equations in moving containers
IMA Journal of Mathematical Control and Information, 2020 The free surface motion in moving containers is an important physical phenomenon for many engineering applications. One way to model the free surface motion is by employing shallow water equations (SWEs).
F. Cardoso-Ribeiro +2 more
semanticscholar +1 more source
Nonautonomous Dynamical Systems, 2020 The aim of this work is to give sufficient conditions ensuring that the space PAP(, X, µ) of µ-pseudo almost periodic functions and the space PAA(, X, µ) of µ-pseudo almost automorphic functions are invariant by the convolution product f = k * f, k ...
Béssémè Fritz Mbounja +4 more
doaj +1 more source
Asymptotic stability of solutions for a diffusive epidemic model
Demonstratio Mathematica, 2022 The aim of this paper is to study the existence and the asymptotic stability of solutions for an epidemiologically emerging reaction-diffusion model. We show that the model has two types of equilibrium points to resolve the proposed system for a fairly ...
Bouaziz Khelifa +2 more
doaj +1 more source
Advantage and Disadvantage of Dispersal in Two-Species Competition Models
CSIAM 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
Sharp profiles for diffusive logistic equation with spatial heterogeneity
Advanced Nonlinear Studies, 2023 In this article, we study the sharp profiles of positive solutions to the diffusive logistic equation. By employing parameters and analyzing the corresponding perturbation equations, we find the effects of boundary and spatial heterogeneity on the ...
Xing Yan-Hua, Sun Jian-Wen
doaj +1 more source
Robustness for a Liouville type theorem in exterior domains [PDF]
, 2013 We are interested in the robustness of a Liouville type theorem for a reaction diffusion equation in exterior domains. Indeed H. Berestycki, F. Hamel and H. Matano (2009) proved such a result as soon as the domain satisfies some geometric properties.
H Berestycki, Juliette Bouhours
core +4 more sources
Hopf bifurcation and Turing instability in a diffusive predator-prey model with hunting cooperation
Open Mathematics, 2022 In this article, we study Hopf bifurcation and Turing instability of a diffusive predator-prey model with hunting cooperation. For the local model, we analyze the stability of the equilibrium and derive conditions for determining the direction of Hopf ...
Miao Liangying, He Zhiqian
doaj +1 more source
Inverse Problem for Fractional Diffusion Equation [PDF]
, 2011 MSC 2010: 26A33, 33E12, 34K29, 34L15, 35K57, 35R30We prove that by taking suitable initial distributions only finitely many measurements on the boundary are required to recover uniquely the diffusion coefficient of a one dimensional fractional diffusion ...
Tuan, Vu Kim
core +1 more source
Pattern Formation Induced by Time-Dependent Advection [PDF]
, 2010 We study pattern-forming instabilities in reaction-advection-diffusion systems. We develop an approach based on Lyapunov-Bloch exponents to figure out the impact of a spatially periodic mixing flow on the stability of a spatially homogeneous state.
A. Pikovsky +12 more
core +1 more source