This paper investigates the stability and instability of a generalized reaction-diffusion-
advection system, which describes a cross-talk between antigens and immune cells via …

In this paper, we study how chemotaxis affects the immune system by proposing a minimal
mathematical model, a reaction–diffusion–advection system, describing a cross-talk …

In this paper, we study the following reaction-diffusion-advection system {ut= d 1∇⋅(D (u)∇
u)− χ∇⋅(S (u)∇ v)+ F (u, w),(x, t)∈ Ω×(0,∞), vt= d 2 Δ v− μ 1 v+ s 1 g (u) w,(x, t)∈ Ω×(0,∞) …

This paper studies a reaction-diffusion-advection system describing a directed movement of
immune cells toward chemokines during the immune process. We investigate the global …

We consider the initial boundary value problem to a reaction–diffusion equation modelling
chemotaxis in one space-dimension under Neumann boundary conditions. We study the …

We consider a 2× 2 system of hyperbolic-parabolic balance laws. Our system is the
converted form under inverse Hopf-Cole transformation of a Keller-Segel type chemotaxis …

In this paper, we study the following reaction-diffusion-advection system ut= D u Δ u-χ∇·(u∇
v)+ f (u),(x, t)∈ Ω×(0,∞), vt= D v Δ v+ svuw-μ vv,(x, t)∈ Ω×(0,∞), wt= D w Δ w+ sw-λ wuw-μ …

In this paper, we consider the exogenous chemotaxis system with physical mixed zero-flux
and Dirichlet boundary conditions in one dimension. Since the Dirichlet boundary condition …

This paper aims at providing an alternative approach to study global dynamic properties for
a two-species chemotaxis model, with the main novelty being that both populations mutually …

Remarks on smallness of chemotactic effect for asymptotic stability in a two-species chemotaxis
system Page 1 http://www.aimspress.com/journal/Math AIMS Mathematics, 1(3): 156-164 …