Stability of solutions of chemotaxis equations in reinforced random walks

From MaRDI portal
Publication:1849184

DOI10.1016/S0022-247X(02)00147-6zbMath1025.35005MaRDI QIDQ1849184

Yanyan Li

Publication date: 28 November 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)




Related Items

Global existence and asymptotic stability of solutions to a two-species chemotaxis system with any chemical diffusion, Numerical resolution of a reinforced random walk model arising in haptotaxis, A Chemotaxis System with Logistic Source, On a parabolic-elliptic system with chemotaxis and logistic type growth, Does indirectness of signal production reduce the explosion-supporting potential in chemotaxis–haptotaxis systems? Global classical solvability in a class of models for cancer invasion (and more), Global dynamics in a fully parabolic chemotaxis system with logistic source, A Glioblastoma PDE-ODE model including chemotaxis and vasculature, PDE models for chemotactic movements: parabolic, hyperbolic and kinetic., Dampening effect of logistic source in a two-dimensional haptotaxis system with nonlinear zero-order interaction, A note on a periodic parabolic-ODE chemotaxis system, Global asymptotic stability in a chemotaxis-growth model for tumor invasion, On a parabolic-ODE system of chemotaxis, On a comparison method for a parabolic-elliptic system of chemotaxis with density-suppressed motility and logistic growth, A chemotaxis-haptotaxis system with haptoattractant remodeling: boundedness enforced by mild saturation of signal production, A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy, Boundedness and asymptotic behavior in a fully parabolic chemotaxis-growth system with signal-dependent sensitivity, The vanishing viscosity limit on a model of Kareiva-Odell type in 2D, Contraction for large perturbations of traveling waves in a hyperbolic–parabolic system arising from a chemotaxis model, On a Parabolic-ODE chemotaxis system with periodic asymptotic behavior, Global well-posedness of large perturbations of traveling waves in a hyperbolic-parabolic system arising from a chemotaxis model, Well-posedness for chemotaxis dynamics with nonlinear cell diffusion, Mathematical modeling of vertebrate limb development, Singular structure formation in a degenerate haptotaxis model involving myopic diffusion, Unnamed Item, Energy-type estimates and global solvability in a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant, On a Keller-Segel system with logarithmic sensitivity and non-diffusive chemical, A new approach toward stabilization in a two-species chemotaxis model with logistic source, Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction, On a fully parabolic chemotaxis system with nonlocal growth term, A control problem for a cross-diffusion system in a nonhomogeneous medium, Stability of planar traveling waves in a Keller-Segel equation on an infinite strip domain, Asymptotic behavior and global existence of solutions to a two-species chemotaxis system with two chemicals, Local existence and uniqueness of regular solutions in a model of tissue invasion by solid tumours, GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF A TUMOR ANGIOGENESIS MODEL WITH CHEMOTAXIS AND HAPTOTAXIS, Convergence of global and bounded solutions of a two-species chemotaxis model with a logistic source, Asymptotic stability of a two species chemotaxis system with non-diffusive chemoattractant, Existence of solutions to a new model of biological pattern formation, Local existence and uniqueness of solutions to approximate systems of 1D tumor invasion model, Global boundedness and large time behavior of solutions to a chemotaxis-consumption system with signal-dependent motility, Global classical solutions to an oncolytic viral therapy model with triply haptotactic terms, Existence of global solutions to a model of chondrogenesis, Global boundedness of classical solutions to a logistic chemotaxis system with singular sensitivity, Large time behavior of solution to an attraction-repulsion chemotaxis system with logistic source in three dimensions, Nonlinear stability of planar traveling waves in a chemotaxis model of tumor angiogenesis with chemical diffusion, Stabilization in a chemotaxis model for tumor invasion, Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy, On a model of target detection in molecular communication networks, Global existence of classical solutions to a combined chemotaxis-haptotaxis model with logistic source, On a fully parabolic chemotaxis system with source term and periodic asymptotic behavior, Global solutions and asymptotic behavior for a parabolic degenerate coupled system arising from biology, Large-data solutions in a three-dimensional chemotaxis-haptotaxis system with remodeling of non-diffusible attractant: the role of sub-linear production of diffusible signal, Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy, A nonlocal model describing tumor angiogenesis, Dynamics in Chemotaxis Models of Parabolic-Elliptic Type on Bounded Domain with Time and Space Dependent Logistic Sources



Cites Work