Results 61 to 70 of about 136 (127)
Instability of Stationary Solutions for Lotka-Volterra Competition Model with Diffusion
, 1994 1991 Mathematics Subject Classification. 35B35.We consider the Lotka-Volterra competition model with diffusion on R, and study the stability of axial symmetric positive stationary solutions relative to the space X of bounded uniformly continuous ...
Kan-On, Yukio
core
Open MathematicsBased on an equivalent derivative non-linear Schrödinger equation, we derive some periodic and non-periodic two-parameter solutions of the deformed continuous Heisenberg spin (DCHS) equation.
Zhong Penghong, Chen Xingfa, Chen Ye
doaj +1 more source
Discrete-time COVID-19 epidemic model with chaos, stability and bifurcation. [PDF]
Results Phys, 2022 Al-Basyouni KS, Khan AQ.
europepmc +1 more source
This paper develops a bifurcation and stability analysis for reaction-diffusion-advection systems incorporating three mathematically challenging features: directed movement along environmental gradients, nonlocal time-delayed competition, and nonlinear ...
Chenyuan Tian, Shangjiang Guo
core +1 more source
On the weakly degenerate Allen-Cahn equation
Advances in Nonlinear Analysis, 2019 In this paper we consider a one-dimensional Allen-Cahn equation with degeneracy in the interior of the domain and Neumann boundary conditions. We allow the diffusivity coefficient vanish at some point of the space domain and we are addressed on the ...
Sônego Maicon
doaj +1 more source
Regularity of Solutions of Burgers' Equation with Globally Stabilizing Nonlinear Boundary Feedback
, 2007 We consider the viscous Burgers equation under recently proposed nonlinear boundary conditions which guarantee global asymptotic stabilization and semiglobal exponential stabilization in H 1 sense.
In L, Andras Balogh, Miroslav Krstic
core
Bifurcation analysis of a free boundary model of vascular tumor growth with a necrotic core and chemotaxis. [PDF]
J Math Biol, 2023 Lu MJ, Hao W, Hu B, Li S.
europepmc +1 more source
One-Dimensional Transport Equations With Discontinuous Coefficients
, 1998 We consider one-dimensional linear transport equations with bounded but possibly discontinuous coefficient a. The Cauchy problem is studied from two different points of view. In the first case we assume that a is piecewise continuous.
F. James, F. Bouchut
core
Advances in Nonlinear AnalysisIn this work, we consider a flux-limited chemotaxis model with indirect signal production and nonlinear diffusion,ut=∇⋅(D(u)∇u)−∇⋅(uf(|∇v|2)∇v)−k1u+k2w,x∈Ω,t>0,0=Δv−μ(t)+w,x∈Ω,t>0,wt=Δw−λ1w+λ2u,x∈Ω,t>0 $$\begin{cases}_{t}=\nabla \cdot \left(D\left(u ...
Tu Xinyu, Mu Chunlai, Minghua Zhang
doaj +1 more source
Partial Differential Equations in Applied MathematicsThis paper presents a new macroscopic traffic flow model formulated as a system of nonlinear partial differential equations that incorporates fuel-price sensitivity and behavioural adaptation of drivers.
Gabriel Obed Fosu +2 more
doaj +1 more source