Results 151 to 160 of about 3,790 (201)

Global boundedness and asymptotic behavior in a quasilinear attraction–repulsion chemotaxis model with nonlinear signal production and logistic-type source

Mathematical Models and Methods in Applied Sciences, 2020
In this work, we consider the quasilinear attraction–repulsion chemotaxis model with nonlinear signal production and logistic-type source. We present the global existence of classical solutions under appropriate regularity assumptions on the initial data.
Guoqiang Ren, B. Liu
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Global Boundedness and Mass Persistence of Solutions to A Chemotaxis-Competition System with Logistic Source

Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi
This article examines the population dynamics of solutions such as global existence, global boundedness, and mass persistence, to a parabolic elliptic type of chemotaxis-competition system including logistics kinetics in a smooth bounded domain.
H. I. Kurt
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Global boundedness and asymptotic stability for a food chain model with nonlinear diffusion

Journal of Mathematics and Physics
This paper is concerned with a food chain model with nonlinear diffusion ut = Δu + u(1 − u − b1v), vt=∇⋅((v+1)m∇v)−∇⋅(ξv∇u)+vu−b2w1+v+w−θ1−α1v,wt=∇⋅((w+1)l∇w)−∇⋅(χw∇v)+wv1+v+w−θ2−α2w in a smooth bounded domain Ω ⊂ Rn(n ≥ 2) with homogeneous Neumann ...
Lu Xu, Yun Zhang, Li Yang
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Global boundedness and asymptotic behavior in a two-species chemotaxis-competition system with two signals

Nonlinear Analysis: Real World Applications, 2019
In this paper, we deal with the two-species chemotaxis-competition system with two signals under homogeneous Neumann boundary conditions in a general bounded domain with smooth boundary.
Guoqiang Ren, Bin Liu
semanticscholar   +1 more source

Boundedness, rigidity and global rigidity of direction–length frameworks

Journal of Geometry, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Boundedness of the period maps and global Torelli theorem

Science China Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, KeFeng, Shen, Yang
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Global boundedness of solutions to a chemotaxis–haptotaxis model with tissue remodeling

Mathematical Models and Methods in Applied Sciences, 2018
We consider a cancer invasion model comprising a strongly coupled PDE–ODE system in two and three space dimensions. The system consists of a parabolic equation describing cancer cell migration arising from a combination of chemotaxis and haptotaxis, a ...
P. Pang, Yifu Wang
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Boundedness of global solutions of nonlocal parabolic equations

Nonlinear Analysis: Theory, Methods & Applications, 1997
It is well-known that some parabolic equations (with fixed boundary conditions) have some solutions which exist for all time and some which only exist on a finite time interval \((0,T^*)\), depending on the initial conditions. In some circumstances, it is also known that, while the solutions which exist only on \((0,T^*)\) become unbounded as \(t\to T^*
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Global uniform boundedness of a class delayed chaotic networks

Proceedings of the 33rd Chinese Control Conference, 2014
This paper deals with the global uniform boundedness of a class of delayed chaotic networks. Under some simple conditions, the global boundedness of a network about its all variables is derived by only considering the global boundedness of its partial variables.
Liangliang Li, Jigui Jian
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Boundedness and global asymptotic stability of a forced oscillator

Nonlinear Analysis: Theory, Methods & Applications, 1995
The authors consider a forced oscillator described by a differential equation \[ x''+ cx'+ g(x)= p(t),\tag{1} \] where \(c> 0\) is a fixed constant, \(g: \mathbb{R}\to \mathbb{R}\) is sufficiently smooth and has limits at infinity, \(g(- \infty)= \lim_{x\to -\infty} g(x)\), \(g(+ \infty)= \lim_{x\to +\infty} g(x)\), satisfying the inequality \(g ...
Alonso, Jose Miguel, Ortega, Rafael
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