Results 11 to 20 of about 65 (65)
Stability Analysis of a Model of Atherogenesis: An Energy Estimate Approach
Computational and Mathematical Methods in Medicine, Volume 9, Issue 2, Page 121-142, 2008., 2008 Atherosclerosis is a disease of the vasculature that is characterized by chronic inflammation and the accumulation of lipids and apoptotic cells in the walls of large arteries. This disease results in plaque growth in an infected artery typically leading to occlusion of the artery. Atherosclerosis is the leading cause of human mortality in the US, much
A. I. Ibragimov +3 more
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Advances in Nonlinear Analysis, 2020 The Keller-Segel-Stokes ...
Wang Yulan +2 more
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Advances in Nonlinear Analysis, 2019 In bounded n-dimensional domains Ω, the Neumann problem for the parabolic ...
Winkler Michael
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Advances in Nonlinear AnalysisThis paper deals with the following fully parabolic chemotaxis system with singular sensitivity and Lotka–Volterra competition kineticsut=Δu−χ1∇⋅uz∇z+μ1u(1−u−a12v−a13ω),x∈Ω,t>0,vt=Δv−χ2∇⋅vz∇z+μ2v(1−a21u−v−a23ω),x∈Ω,t>0,ωt=Δω−χ3∇⋅ωz∇z+μ3ω(1−a31u−a32v−ω),x∈
Zhu Zhangsheng
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Open MathematicsWe investigate the two-species chemotaxis predator-prey system given by the following system: ut=Δu−χ∇⋅(u∇w)+u(λ1−μ1ur1−1+av),x∈Ω,t>0,vt=Δv+ξ∇⋅(v∇z)+v(λ2−μ2vr2−1−bu),x∈Ω,t>0,0=Δw−w+v,x∈Ω,t>0,0=Δz−z+u,x∈Ω,t>0,\left\{\begin{array}{ll}{u}_{t}=\Delta u-\chi \
Liu Ling
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Advances in Nonlinear AnalysisThe Keller-Segel-Navier-Stokes system in RN{{\mathbb{R}}}^{N} is considered, where N≥3N\ge 3. We show the existence and uniqueness of local mild solutions for arbitrary initial data and gravitational potential in scaling invariant Lorentz spaces ...
Takeuchi Taiki
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Advances in Nonlinear AnalysisThis study deals with the global boundedness of a classical solution to a quasilinear two-species chemotaxis-competition model with nonlinear sensitivities in n≤3n\le 3. Due to the presence of nonlinear sensitivities, obtaining the necessary ‖w‖L∞\Vert w{
Yan Dongze, Liu Changchun
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Advances in Nonlinear AnalysisThis article deals with a predator-prey chemotaxis system with indirect pursuit-evasion interaction and nonlocal kinetics ut=Δu−χ∇⋅(u∇w)+uλ1−μ1ur1−1+av+a1∫Ωudx+a2∫Ωvdx,x∈Ω,t>0,vt=Δv+ξ∇⋅(v∇z)+vλ2−μ2vr2−1−bu+b1∫Ωudx+b2∫Ωvdx,x∈Ω,t>0,τwt=Δw−w+v,x∈Ω,t>0,τzt ...
Jiao Zhan, Jadlovská Irena, Li Tongxing
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Stabilization of arbitrary structures in a three-dimensional doubly degenerate nutrient taxis system
European Journal of Applied MathematicsThe doubly degenerate nutrient taxis system (0.1) \begin{equation} \left \{ \begin{aligned} &u_{t}=\nabla \cdot (uv\nabla u)-\chi \nabla \cdot (u^{\alpha }v\nabla v)+\ell uv,&x\in \Omega ,\, t\gt 0,\\[5pt] & v_{t}=\Delta v-uv,&x\in \Omega ,\, t\gt 0,\\
Xiang-Mao De-Ji, Ai Huang, Yifu Wang
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