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Global solvability and boundedness to a attraction–repulsion model with logistic source
Boundary Value ProblemsIn this paper, we deal with an attraction–repulsion model with a logistic source as follows: { u t = Δ u − χ ∇ ⋅ ( u ∇ v ) + ξ ∇ ⋅ ( u ∇ w ) + μ u q ( 1 − u ) in Q , v t = Δ v − α 1 v + β 1 u in Q , w t = Δ w − α 2 w + β 2 u in Q , $$\begin{aligned ...
Danqing Zhang
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Analyzing the Solution of Chemotaxis Equations with Logistic Source Term [PDF]
Mathematical Problems in Engineering, 2021 When the parameters have the characteristics of sensitivity and specificity, while the traditional analysis method is the analysis of equations, under the influence of the characteristics of parameters, because the ability to consider the overall existence and limitations of the equation is weak, this leads to the deviation of the analysis results ...
Yan Xu, Mohammed Abdella Kemal
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Global existence and boundedness in a two-species chemotaxis system with nonlinear diffusion
Open Mathematics, 2021 This paper is concerned with a chemotaxis system ut=Δum−∇⋅(χ1(w)u∇w)+μ1u(1−u−a1v),x∈Ω,t>0,vt=Δvn−∇⋅(χ2(w)v∇w)+μ2v(1−a2u−v),x∈Ω,t>0,wt=Δw−(αu+βv)w,x∈Ω,t>0,\left\{\begin{array}{ll}{u}_{t}=\Delta {u}^{m}-\nabla \cdot \left({\chi }_{1}\left(w)u\nabla w)+{\mu
Huang Ting, Hou Zhibo, Han Yongjie
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Existence of global solutions to chemotaxis fluid system with logistic source
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
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Logistic damping effect in chemotaxis models with density-suppressed motility
Advances in Nonlinear Analysis, 2022 This paper is concerned with a parabolic-elliptic chemotaxis model with density-suppressed motility and general logistic source in an n-dimensional smooth bounded domain with Neumann boundary conditions.
Lyu Wenbin, Wang Zhi-An
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Blow-up of nonradial solutions to the hyperbolic-elliptic chemotaxis system with logistic source
Comptes Rendus. Mathématique, 2023 This paper is concerned with the blow-up of solutions to the following hyperbolic-elliptic chemotaxis system: \begin{equation*} {\left\lbrace \begin{array}{ll} u_{t} =-\nabla \cdot (\chi u \nabla v)+g(u), \qquad x\in \Omega , \ t>0,\\ \;\;\; 0 =\Delta v-
Baghaei, khadijeh
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Electronic Journal of Differential Equations, 2022 This article concerns the chemotaxis-growth system with indirect signal production $$\displaylines{ u_t=\Delta u-\nabla\cdot(u\nabla v)+\mu u(1-u),\quad x\in \Omega,\; t>0,\cr 0=\Delta v-v+w,\quad x\in \Omega,\; t>0,\cr w_t=-\delta w+u,\quad x\in\Omega,\
Xiaobing Ye, Liangchen Wang
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Boundary Value Problems, 2021 This paper deals with the homogeneous Neumann boundary value problem for chemotaxis system { u t = Δ u − ∇ ⋅ ( u ∇ v ) + κ u − μ u α , x ∈ Ω , t > 0 , v t = Δ v − u v , x ∈ Ω , t > 0 , $$\begin{aligned} \textstyle\begin{cases} u_{t} = \Delta u - \nabla ...
Ke Jiang, Yongjie Han
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Traveling wave solutions for fully parabolic Keller-Segel chemotaxis systems with a logistic source
Electronic Journal of Differential Equations, 2020 This article concerns traveling wave solutions of the fully parabolic Keller-Segel chemotaxis system with logistic source, $$\displaylines{ u_t=\Delta u -\chi\nabla\cdot(u\nabla v)+u(a-bu),\quad x\in\mathbb{R}^N,\cr \tau v_t=\Delta v-\lambda v +\mu ...
Rachidi B. Salako, Wenxian Shen
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