Results 1 to 10 of about 756,278 (227)

Stabilization and pattern formation in chemotaxis models with acceleration and logistic source

Mathematical Biosciences and Engineering, 2023
We consider the following chemotaxis-growth system with an acceleration assumption, $ \begin{align*} \begin{cases} u_t= \Delta u -\nabla \cdot\left(u \mathbf{w} \right)+\gamma\left({u-u^\alpha}\right), & x\in\Omega,\ t>0,\\ v_t=\Delta v- v+u ...
Chunlai Mu, Weirun Tao
doaj   +5 more sources

Boundedness criteria for the quasilinear attraction-repulsion chemotaxis system with nonlinear signal production and logistic source

Electronic Research Archive, 2023
This paper deals with the following quasilinear attraction-repulsion chemotaxis system $ \begin{equation*} \left\{ \begin{array}{ll} u_{t} = \nabla\cdot((u+1)^{m}\nabla u-\chi u(u+1)^{\theta-1}\nabla v+\xi u(u+1)^{l-1}\nabla w)+au-bu^{\kappa ...
Chang-Jian Wang, Yu-Tao Yang
doaj   +2 more sources

Existence of solutions to chemotaxis dynamics with logistic source

Dynamical Systems and Differential Equations, AIMS Proceedings 2015 Proceedings of the 10th AIMS International Conference (Madrid, Spain), 2015
This paper is concerned with a chemotaxis system with nonlinear diffusion and logistic growth term $f(b) = \kappa b-\mu |b|^{\alpha-1}b$ with $\kappa>0$, $\mu>0$ and $\alpha > 1$ under the no-flux boundary condition. It is shown that there exists a local solution to this system for any $L^2$-initial data and that under a stronger assumption on the ...
Noriaki Yoshino, Tomomi Yokota
openalex   +3 more sources

Existence of global solutions to chemotaxis fluid system with logistic source [PDF]

Electronic Journal of Qualitative Theory of Differential Equations, 2021
We establish the existence of global solutions and $L^q$ time-decay of a three dimensional chemotaxis system with chemoattractant and repellent. We show the existence of global solutions by the energy method.
Harumi Hattori, Aesha Lagha
doaj   +3 more sources

A further study on an attraction-repulsion chemotaxis system with logistic source

AIMS Mathematics
This paper is concerned with the attraction-repulsion chemotaxis system (1.1) define on a bounded domain $ \Omega \subset \mathbb{R}^N(N\geq 1) $ with no-flux boundary conditions.
Wanjuan Du
doaj   +2 more sources

Start-up Capital Source and Credit Access Participation of Household Nonfarm Enterprises in Nigeria: Evidence from Logistic Regression Mode

Managing Global Transitions, 2021
The main focus of this study is to estimate the influence of the main start-up capital source on credit access participation by household nonfarm enterprises.
Obed I. Ojonta, Divine N. Obodoechi, Paschaline N. Ugwu   +2 more
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Global boundedness in an attraction–repulsion Chemotaxis system with nonlinear productions and logistic source

Journal of Inequalities and Applications
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 − β v , τ w t = Δ w + γ u l − δ w , τ ∈ {
Rongxiang Wang, Lijun Yan
doaj   +2 more sources

Global existence of classical solutions and steady-state bifurcation in a prey-taxis predator-prey system with hunting cooperation and a logistic source for predators

Electronic Research Archive
In this paper, we studied a generalized reaction-diffusion system that models predator-prey dynamics, incorporating prey-taxis along with a hunting cooperation effect and a logistic source for the predator population, subject to homogeneous Neumann ...
Kimun Ryu, Wonlyul Ko
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Pattern formation for a nonlinear diffusion chemotaxis model with logistic source

Boundary Value Problems, 2018
This paper deals with a Neumann boundary value problem in a d-dimensional box Td=(0,π)d $\mathbb{T}^{d}=(0,\pi)^{d}$ ( d=1,2,3 $d=1, 2, 3$) for a nonlinear diffusion chemotaxis model with logistic source.
Chengying Niu, Haiyan Gao, Shenghu Xu, Guohua Yang   +3 more
doaj   +3 more sources

Global boundedness of solutions to a chemotaxis consumption model with signal dependent motility and logistic source

Comptes Rendus. Mathématique
This paper deals with the following chemotaxis system: \begin{equation*} {\left\lbrace \begin{array}{ll} u_{t}=\nabla \cdot \big (\gamma (v) \,\nabla u-u \,\xi (v) \,\nabla v\big )+\mu \, u\,(1-u), & x\in \Omega , \ t>0, \\ v_{t}=\Delta v-uv, & x\in ...
Baghaei, Khadijeh
doaj   +2 more sources