Controlled dynamics of a chemotaxis model with logarithmic sensitivity by physical boundary conditions
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Publication:2699109
DOI10.3934/era.2022230OpenAlexW4312873089MaRDI QIDQ2699109
Xiaoming Zheng, Min Zhang, Kun Zhao, Ling Xue
Publication date: 26 April 2023
Published in: Electronic Research Archive (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/era.2022230
Asymptotic behavior of solutions to PDEs (35B40) Cell movement (chemotaxis, etc.) (92C17) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)
Cites Work
- Unnamed Item
- Asymptotic stability of traveling waves of a chemotaxis model with singular sensitivity
- Asymptotic nonlinear stability of traveling waves to conservation laws arising from chemotaxis
- Boundary layer problem on a hyperbolic system arising from chemotaxis
- Global stabilization and boundary control of generalized Fisher/KPP equation and application to diffusive SIS model
- Initiation of slime mold aggregation viewed as an instability
- Model for chemotaxis
- Traveling bands of chemotactic bacteria: a theoretical analysis
- A chemotactic model for the advance and retreat of the primitive streak in avian development
- Global solutions to a hyperbolic-parabolic coupled system with large initial data
- A user's guide to PDE models for chemotaxis
- Transient behavior of a chemotaxis system modelling certain types of tissue inflammation
- Model and analysis of chemotactic bacterial patterns in a liquid medium
- From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
- Boundary layers and stabilization of the singular Keller-Segel system
- Nonlinear stability of strong traveling waves for the singular Keller-Segel system with large perturbations
- A model of wound-healing angiogenesis in soft tissue
- Cellular pattern formation during Dictyostelium aggregation
- Steadily propagating waves of a chemotaxis model
- Mathematics of traveling waves in chemotaxis
- Large-time behavior of a parabolic-parabolic chemotaxis model with logarithmic sensitivity in one dimension
- Global dynamics and diffusion limit of a one-dimensional repulsive chemotaxis model
- On the logarithmic Keller-Segel-Fisher/KPP system
- Nonlinear stability of diffusive contact wave for a chemotaxis model
- Asymptotic behavior of solutions to a chemotaxis-logistic model with transitional end-states
- Corrigendum to: ``Optimal decay rates for a chemotaxis model with logistic growth, logarithmic sensitivity and density-dependent production/consumption rate
- Asymptotic dynamics of a system of conservation laws from chemotaxis
- Convergence of boundary layers for the Keller-Segel system with singular sensitivity in the half-plane
- Optimal decay rates for a chemotaxis model with logistic growth, logarithmic sensitivity and density-dependent production/consumption rate
- Initial-boundary value problems for a system of hyperbolic balance laws arising from chemotaxis
- Global Dynamics of a Hyperbolic-Parabolic Model Arising from Chemotaxis
- Random walk with persistence and external bias
- Stability of traveling waves of the Keller–Segel system with logarithmic sensitivity
- Quantitative decay of a one-dimensional hybrid chemotaxis model with large data
- Nonlinear Stability of Traveling Waves to a Hyperbolic-Parabolic System Modeling Chemotaxis
- NONLINEAR STABILITY OF LARGE AMPLITUDE VISCOUS SHOCK WAVES OF A GENERALIZED HYPERBOLIC–PARABOLIC SYSTEM ARISING IN CHEMOTAXIS
- Initial and Boundary Value Problem for a System of Balance Laws from Chemotaxis: Global Dynamics and Diffusivity Limit
- A System of Reaction Diffusion Equations Arising in the Theory of Reinforced Random Walks
- Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks
- Stability of Boundary Layers for a Viscous Hyperbolic System Arising from Chemotaxis: One-Dimensional Case
- Global Cauchy Problem of a System of Parabolic Conservation Laws Arising From a Keller--Segel Type Chemotaxis Model
- Mathematical Analysis of a Model for the Initiation of Angiogenesis
- Asymptotic and viscous stability of large-amplitude solutions of a hyperbolic system arising from biology
- Boundary spike‐layer solutions of the singular Keller–Segel system: existence and stability
- Contraction for large perturbations of traveling waves in a hyperbolic–parabolic system arising from a chemotaxis model
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- A mathematical model for the roles of pericytes and macrophages in the initiation of angiogenesis. I: The role of protease inhibitors in preventing angiogenesis
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