Results 111 to 120 of about 249 (171)

Steady-state bifurcation and pattern formation in an immune chemotaxis system with volume-filling effects

This paper studies a three-component reaction-diffusion-advection immune chemotaxis model incorporating volume-filling effects, which accounts for spatial crowding and density limitation of immune cells.
Yafei Yang, Liangying Miao, Xiaoyan Gao
core   +1 more source

JKO schemes with general transport costs. [PDF]

Calc Var Partial Differ Equ
Rankin C, Wong TL.
europepmc   +1 more source

Large Time Behavior of Solutions of a Fast Diffusion Equation with Source

, 2007
We study the large time behavior of solutions of the Cauchy problem for a fast diffusion equation with a singular powerlike source. It is shown that the large time behavior is described by the similarity solution of related problem.
Jong-shenq Guo
core  

Taylor-Galerkin method for solving higher-order nonlinear complex differential equations. [PDF]

MethodsX
Humayun Kabir M, Shafiqul Islam M, Kamrujjaman M.   +2 more
europepmc   +1 more source

Control Strategies for a Multi-strain Epidemic Model. [PDF]

Bull Math Biol, 2021
Lou Y, Salako RB.
europepmc   +1 more source

Essential Instability of Pulses, and Bifurcations to Modulated Travelling Waves

Reaction-diffusion systems on the real line are considered. Localized travelling waves become unstable when the essential spectrum of the linearization about them crosses the imaginary axis.
Björn Sandstede, Arnd Scheel
core  

On the Dissolution-Growth Process of a Grain: Large Time Behavior and Special Solutions.

, 2007
: We study here the large time behavior of the radius R(t) of a spherical grain in a dilute solution of the same substance. The evolution in time of the grain is governed by a reaction-diffusion process in the liquid phase and by a dissolution/accretion ...
Fran Coise, Thomas I. Seidman
core  

Propagation and blocking of bistable waves by variable diffusion. [PDF]

J Math Biol
Nakajima K, Ninomiya H.
europepmc   +1 more source

Threshold dynamics for a stage-structured model with non-local impulsive birth in a heterogeneous environment. [PDF]

J Math Biol
Zhang Y, Yi T, Xiao Y.
europepmc   +1 more source

Bifurcation to Spiral Waves in Reaction-Diffusion Systems

For a large class of reaction-diffusion systems on the plane, we show rigorously that typically m-armed spiral waves bifurcate from a homogeneous equilibrium when the latter undergoes a Hopf bifurcation.
Arnd Scheel
core