Zobrazeno 1 - 10
of 2 869
pro vyhledávání: '"logistic source"'
Autor:
Zhang, Zhiguang, Li, Yuxiang
In this work, we study the doubly degenerate nutrient taxis system with logistic source \begin{align} \begin{cases}\tag{$\star$}\label{eq 0.1} u_t=\nabla \cdot(u^{l-1} v \nabla u)- \nabla \cdot\left(u^{l} v \nabla v\right)+ u - u^2, \\ v_t=\Delta v-u
Externí odkaz:
http://arxiv.org/abs/2410.19833
In this paper we study the existence of solutions of a parabolic-elliptic system of partial differential equations describing the behaviour of a biological species $u$ and a chemical stimulus $v$ in a bounded and regular domain $\Omega$ of $\mathbb{R
Externí odkaz:
http://arxiv.org/abs/2409.10121
This paper investigates the spreading properties of globally defined bounded positive solutions of a chemotaxis system featuring a logistic source and consumption: \[ \left\{ \begin{aligned} &\partial_tu=\Delta u - \chi\nabla\cdot(u\nabla v)+ u(a-bu)
Externí odkaz:
http://arxiv.org/abs/2405.19428
Autor:
Rongxiang Wang, Lijun Yan
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-19 (2024)
Abstract This paper deals with the attraction–repulsion chemotaxis system with nonlinear productions and logistic source, u t = ∇ ⋅ ( D ( u ) ∇ u ) − ∇ ⋅ ( Φ ( u ) ∇ v ) + ∇ ⋅ ( Ψ ( u ) ∇ w ) + f ( u ) , v t = Δ v + α u k
Externí odkaz:
https://doaj.org/article/264863117f0849dbabf1cbd6288c16ca
We consider the fully parabolic, spatially heterogeneous chemotaxis-growth system \begin{align*} \begin{cases} u_t = \Delta u - \nabla\cdot(u\nabla v) + \kappa(x)u-\mu(x)u^2, \\ v_t = \Delta v - v + u \end{cases} \end{align*} in bounded domains $\Ome
Externí odkaz:
http://arxiv.org/abs/2406.11746
Autor:
Le, Minh
We study the existence of global boundedness solutions to the fully parabolic chemotaxis systems with logistic sources, $ru- \mu u^2$, under nonlinear Neumann boundary conditions, $\frac{\partial u}{\partial \nu }= |u|^p$ where $p >1 $ in smooth boun
Externí odkaz:
http://arxiv.org/abs/2406.01826
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