Results 21 to 30 of about 154 (130)

A reaction-diffusion system to better comprehend the unlockdown: Application of SEIR-type model with diffusion to the spatial spread of COVID-19 in France

Computational and Mathematical Biophysics, 2020
We wondered that if a reaction-diffusion model considering only the mean daily movement of susceptible, exposed and asymptomatic individuals was enough to describe the spread of the COVID-19 virus.
Mammeri Youcef
doaj   +1 more source

Global solvability in a three-dimensional Keller-Segel-Stokes system involving arbitrary superlinear logistic degradation

Advances in Nonlinear Analysis, 2020
The Keller-Segel-Stokes ...
Wang Yulan, Winkler Michael, Xiang Zhaoyin   +2 more
doaj   +1 more source

Boundary layer analysis for a 2-D Keller-Segel model

Open Mathematics, 2020
We study the boundary layer problem of a Keller-Segel model in a domain of two space dimensions with vanishing chemical diffusion coefficient. By using the method of matched asymptotic expansions of singular perturbation theory, we construct an accurate ...
Meng Linlin, Xu Wen-Qing, Wang Shu
doaj   +1 more source

Attractiveness of Constant States in Logistic-Type Keller–Segel Systems Involving Subquadratic Growth Restrictions

Advanced Nonlinear Studies, 2020
The chemotaxis-growth ...
Winkler Michael
doaj   +1 more source

Multiplicity of high energy solutions for fractional Schrodinger-Poisson systems with critical frequency

Electronic Journal of Differential Equations, 2022
In this article we study the fractional Schrodinger-Poisson system $$\displaylines{ \epsilon^{2s}(-\Delta)^s u+V(x)u=\phi |u|^{2^*_s-3}u,\quad x\in \mathbb{R}^3, \cr (-\Delta)^s\phi=|u|^{2^*_s-1}, \quad x\in \mathbb{R}^3, }$$ where \(s\in(1/2,1 ...
Siqi Qu, Xiaoming He
doaj   +1 more source

Inverse problem for a physiologically structured population model with variable-effort harvesting

Open Mathematics, 2017
We consider the inverse problem of determining how the physiological structure of a harvested population evolves in time, and of finding the time-dependent effort to be expended in harvesting, so that the weighted integral of the density, which may be ...
Andrusyak Ruslan V.
doaj   +1 more source

Boundedness and stabilization in a three-species chemotaxis-competition system with singular sensitivity

Advances in Nonlinear Analysis
This paper deals with the following fully parabolic chemotaxis system with singular sensitivity and Lotka–Volterra competition kineticsut=Δu−χ1∇⋅uz∇z+μ1u(1−u−a12v−a13ω),x∈Ω,t>0,vt=Δv−χ2∇⋅vz∇z+μ2v(1−a21u−v−a23ω),x∈Ω,t>0,ωt=Δω−χ3∇⋅ωz∇z+μ3ω(1−a31u−a32v−ω),x∈
Zhu Zhangsheng
doaj   +1 more source

Linear asymptotic stability of a free boundary problem modeling tumor growth with two-phase Stokes equations

Advances in Nonlinear Analysis
In this paper, we consider a two-phase fluid tumor model by assuming that the tumor and its growth environment are two incompressible fluids with different viscosities.
Wu Junde, Ren Yanting
doaj   +1 more source

A degenerate migration-consumption model in domains of arbitrary dimension

Advanced Nonlinear Studies
In a smoothly bounded convex domain Ω⊂Rn ${\Omega}\subset {\mathbb{R}}^{n}$ with n ≥ 1, a no-flux initial-boundary value problem forut=Δuϕ(v),vt=Δv−uv, $$\begin{cases}_{t}={\Delta}\left(u\phi \left(v\right)\right),\quad \hfill \\ {v}_{t}={\Delta}v-uv ...
Winkler Michael
doaj   +1 more source

Boundedness and long-time behavior in a parabolic-elliptic system arising from biological transport networks

Advances in Nonlinear Analysis
The aim of this article is to consider a three-dimensional Cauchy problem for the parabolic-elliptic system arising from biological transport networks. For such problem, we first establish the global existence, uniqueness, and uniform boundedness of the ...
Li Bin
doaj   +1 more source