Results 1 to 10 of about 783,646 (327)
Small-convection limit for two-dimensional chemotaxis-Navier–Stokes system with logarithmic sensitivity and logistic-type source [PDF]
Boundary Value Problems, 2022 In this paper, we consider the small-convection limit of chemotaxis-Navier–Stokes system with logarithmic sensitivity and logistic-type source { n t κ + u κ ⋅ ∇ n κ = Δ n κ − χ ∇ ⋅ ( n κ ∇ log c κ ) + f ( n κ ) , x ∈ Ω , t > 0 , c t κ + u κ ⋅ ∇ c κ = Δ c
Jie Wu
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Networks and Heterogeneous Media, 2023 In this paper, we consider the Keller-Segel chemotaxis model with self- and cross-diffusion terms and a logistic source. This system consists of a fully nonlinear reaction-diffusion equation with additional cross-diffusion.
Panpan Xu, Yongbin Ge, Lin Zhang
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Global existence of classical solutions for the 2D chemotaxis-fluid system with logistic source
AIMS Mathematics, 2022 In this paper, we consider the incompressible chemotaxis-Navier-Stokes equations with logistic source in spatial dimension two. We first show a blow-up criterion and then establish the global existence of classical solutions to the system for the Cauchy ...
Yina Lin, Qian Zhang, Meng Zhou
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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, $$\displaylines{ u_t=\Delta u -\chi\nabla\cdot(u\nabla v)+u(a-bu),\quad x\in\mathbb{R}^N,\cr \tau v_t=\Delta v-\lambda v +\mu ...
Rachidi B. Salako, Wenxian Shen
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Global solutions to a two-species chemotaxis system with singular sensitivity and logistic source [PDF]
Journal of Inequalities and Applications, 2019 This paper is concerned with a chemotaxis system with singular sensitivity and logistic source, {ut=Δu−χ1∇⋅(uw∇w)+μ1u−μ1uα,x∈Ω,t>0,υt=Δv−χ2∇⋅(υw∇w)+μ2υ−μ2υβ,x∈Ω,t>0,wt=Δw−(u+υ)w,x∈Ω,t>0, $$\begin{aligned} \textstyle\begin{cases} u_{t}=\Delta u-\chi _{1 ...
Ting Huang, Lu Yang, Yongjie Han
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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 +2 more
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Boundedness in a chemotaxis system with consumption of chemoattractant and logistic source
Electronic Journal of Differential Equations, 2013 In this article, we consider a chemotaxis system with consumption of chemoattractant and logistic source $$\displaylines{ u_t=\Delta u-\chi\nabla\cdot(u\nabla v)+f(u),\quad x\in \Omega,\; t>0,\cr v_t=\Delta v-uv,\quad x\in\Omega,\; t>0, }$$ under ...
Liangchen Wang +2 more
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MathematicsIn this paper, we study a diffusive SIS epidemic model with a logistic source, saturation rate, and spontaneous infection mechanism. Based on the uniform bounds of parabolic system, the global attractivity of the endemic equilibrium is established in a ...
Hongmin Zhang, Jian Zhang, Xin Huo
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Global solvability and boundedness to a attraction–repulsion model with logistic source [PDF]
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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Communications in Analysis and MechanicsThe following chemotaxis system has been considered: \begin{document}$ \begin{equation*} \left\{ \begin{array}{ll} v_{t} = \Delta v-\xi \nabla\cdot(v \nabla w_{1})+\chi \nabla\cdot(v \nabla w_{2})+\lambda v-\mu v^{\kappa},\ &\ \ x\in \Omega, \ t>0 ...
Chang-Jian Wang, Jia-Yue Zhu
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