Results 31 to 40 of about 130 (110)

Global boundedness in a two-dimensional chemotaxis system with nonlinear diffusion and singular sensitivity

Advances in Nonlinear Analysis
In this study, we investigate the two-dimensional chemotaxis system with nonlinear diffusion and singular sensitivity: ut=∇⋅(uθ−1∇u)−χ∇⋅uv∇v,x∈Ω,t>0,vt=Δv−v+u+g(x,t),x∈Ω,t>0,(∗)\left\{\begin{array}{ll}{u}_{t}=\nabla \cdot \left({u}^{\theta -1}\nabla u ...
Ren Guoqiang, Zhou Xing
doaj   +1 more source

The Singular Perturbation Problem for a Class of Generalized Logistic Equations Under Non-classical Mixed Boundary Conditions

Advanced Nonlinear Studies, 2019
This paper studies a singular perturbation result for a class of generalized diffusive logistic equations, d⁢ℒ⁢u=u⁢h⁢(u,x){d\mathcal{L}u=uh(u,x)}, under non-classical mixed boundary conditions, ℬ⁢u=0{\mathcal{B}u=0} on ∂⁡Ω{\partial\Omega}.
Fernández-Rincón Sergio, López-Gómez Julián   +1 more
doaj   +1 more source

Stabilization in a chemotaxis system modelling T-cell dynamics with simultaneous production and consumption of signals

European Journal of Applied Mathematics
In a smoothly bounded domain $\Omega \subset \mathbb{R}^n$ , $n\ge 1$ , this manuscript considers the homogeneous Neumann boundary problem for the chemotaxis system \begin{eqnarray*} \left \{ \begin{array}{l} u_t = \Delta u - \nabla \cdot (
Youshan Tao, Michael Winkler
doaj   +1 more source

Dynamical properties of single species stage structured model with Michaelis-Menten type harvesting on adult population and linear harvesting on juvenile population. [PDF]

Heliyon, 2023
Akter S, Islam MS, Hossain T.
europepmc   +1 more source

On a Cahn–Hilliard equation for the growth and division of chemically active droplets modelling protocells

European Journal of Applied Mathematics
The Cahn–Hilliard model with reaction terms can lead to situations in which no coarsening is taking place and, in contrast, growth and division of droplets occur which all do not grow larger than a certain size.
Harald Garcke, Kei Fong Lam, Robert Nürnberg, Andrea Signori   +3 more
doaj   +1 more source

The evolution problem for the 1D nonlocal Fisher-KPP equation with a top hat kernel. Part 1. The Cauchy problem on the real line

European Journal of Applied Mathematics
We study the Cauchy problem on the real line for the nonlocal Fisher-KPP equation in one spatial dimension, \begin{equation*} u_t = D u_{xx} + u(1-\phi *u), \end{equation*} where $\phi *u$ is a spatial convolution with the top hat kernel,
David John Needham, John Billingham, Nikolaos Michael Ladas, John Meyer   +3 more
doaj   +1 more source

On the dynamics of a diffusive SEIRS epidemic model

European Journal of Applied Mathematics
This work investigates the dynamics of positive classical solutions to a diffusive susceptible-exposed-infected-recovered-susceptible epidemic model with a mass-action incidence mechanism in spatially heterogeneous environments. Under minimal assumptions
Keoni G. Castellano, Rachidi B. Salako, Shuwen Xue   +2 more
doaj   +1 more source

Dynamical behaviour of a logarithmically sensitive chemotaxis model under time-dependent boundary conditions

European Journal of Applied Mathematics
This article studies the dynamical behaviour of classical solutions of a hyperbolic system of balance laws, derived from a chemotaxis model with logarithmic sensitivity, with time-dependent boundary conditions. It is shown that under suitable assumptions
Padi Fuster Aguilera, Kun Zhao
doaj   +1 more source

Derivation and travelling wave analysis of phenotype-structured haptotaxis models of cancer invasion

European Journal of Applied Mathematics
We formulate haptotaxis models of cancer invasion wherein the infiltrating cancer cells can occupy a spectrum of states in phenotype space, ranging from ‘fully mesenchymal’ to ‘fully epithelial’. The more mesenchymal cells are those that display stronger
Tommaso Lorenzi, Fiona R. Macfarlane, Kevin J. Painter   +2 more
doaj   +1 more source

Macroscopic limit of a Fokker-Planck model of swarming rigid bodies

European Journal of Applied Mathematics
We consider self-propelled rigid bodies interacting through local body-attitude alignment modelled by stochastic differential equations. We derive a hydrodynamic model of this system at large spatio-temporal scales and particle numbers in any dimension
Pierre Degond, Amic Frouvelle
doaj   +1 more source