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Electronic Journal of Qualitative Theory of Differential Equations, 2023 This paper is devoted to studying the following quasilinear parabolic-elliptic-elliptic chemotaxis system \begin{equation*} \begin{cases} u_{t}=\nabla\cdot(\varphi(u)\nabla u-\psi(u)\nabla v)+au-bu^{\gamma},\ &\ \ x\in \Omega, \ t>0,\\[2.5mm] 0 ...
Chang-Jian Wang, Ya-Jie Zhu, Xin-Cai Zhu
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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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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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Boundedness and global solvability for a chemotaxis-haptotaxis model with p-Laplacian diffusion
Electronic Journal of Differential Equations, 2020 We consider a chemotaxis-haptotaxis system with $p$-Laplacian diffusion in three dimensional bounded domains. It is asserted that for any p>2, under the appropriate assumptions, the chemotaxis-haptotaxis system admits a global bounded weak ...
Changchun Liu, Pingping Li
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Multiple CheY Proteins Control Surface-Associated Lifestyles of Azospirillum brasilense
Frontiers in Microbiology, 2021 Bacterial chemotaxis is the directed movement of motile bacteria in gradients of chemoeffectors. This behavior is mediated by dedicated signal transduction pathways that couple environment sensing with changes in the direction of rotation of flagellar ...
Elena E. Ganusova +3 more
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Journal of Neuroinflammation, 2022 Background Listeria monocytogenes (Lm) is a bacterial pathogen of major concern for humans and ruminants due to its neuroinvasive potential and its ability to cause deadly encephalitis (neurolisteriosis).
Stefano Bagatella +9 more
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A quasi-linear parabolic system of chemotaxis
Abstract and Applied Analysis, 2006 We consider a quasi-linear parabolic system with respect to unknown functions u and v on a bounded domain of n-dimensional Euclidean space. We assume that the diffusion coefficient of u is a positive smooth function A(u), and that the diffusion ...
Takasi Senba, Takasi Suzuki
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Uniform boundedness of solutions for a predator-prey system with diffusion and chemotaxis
Comptes Rendus. Mathématique, 2020 In this Note we study a nonlinear system of reaction-diffusion differential equations consisting of an ordinary differential equation coupled to a fully parabolic chemotaxis system. This system constitutes a mathematical model for the evolution of a prey-
Dáger, René +2 more
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Mimic Nature Using Chemotaxis of Ionic Liquid Microdroplets for Drug Delivery Purposes
Molecules, 2022 Due to the growing prevalence of incurable diseases, such as cancer, worldwide, nowadays, the development of smart drug delivery systems is an inevitable necessity. Chemotaxis-driven movement of ionic liquid microdroplets containing therapeutic compounds
Kobra Khodarahmian, Alireza Ghiasvand
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mBio, 2019 Most chemotactic motile bacteria possess multiple chemotaxis signaling systems, the functions of which are not well characterized. Chemotaxis signaling is initiated by chemoreceptors that assemble as large arrays, together with chemotaxis coupling ...
Lindsey O’Neal +8 more
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