Reaction, diffusion and chemotaxis in wave propagation
From MaRDI portal
Publication:480023
DOI10.3934/dcdsb.2015.20.1zbMath1304.35179OpenAlexW2332603605MaRDI QIDQ480023
Zhi-An Wang, Wenzhang Huang, Shangbin Ai
Publication date: 8 December 2014
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2015.20.1
Applications of statistics to biology and medical sciences; meta analysis (62P10) Applications of functional analysis in biology and other sciences (46N60) Nonlinear parabolic equations (35K55) Cell movement (chemotaxis, etc.) (92C17) Traveling wave solutions (35C07)
Related Items
Existence of traveling wave solutions of parabolic-parabolic chemotaxis systems ⋮ Investigation of a Structured Fisher's Equation with Applications in Biochemistry ⋮ Spreading speeds and traveling waves of a parabolic-elliptic chemotaxis system with logistic source on \(\mathbb{R}^N\) ⋮ Existence of traveling wave solutions to parabolic-elliptic-elliptic chemotaxis systems with logistic source ⋮ Traveling bands for the Keller-Segel model with population growth ⋮ Traveling wave solutions for a two-species competitive Keller-Segel chemotaxis system ⋮ Traveling wave solutions of a singular Keller-Segel system with logistic source ⋮ Dynamics for a two-species competitive Keller-Segel chemotaxis system with a free boundary ⋮ Can chemotaxis speed up or slow down the spatial spreading in parabolic-elliptic Keller-Segel systems with logistic source? ⋮ Asymptotic behaviors and existence of traveling wave solutions to the Keller-Segel model with logarithmic sensitivity ⋮ Parabolic-elliptic chemotaxis model with space-time dependent logistic sources on \(\mathbb{R}^N\). III: Transition fronts
Cites Work
- Local well posedness and instability of travelling waves in a chemotaxis model
- Traveling wave solutions from microscopic to macroscopic chemotaxis models
- Asymptotic nonlinear stability of traveling waves to conservation laws arising from chemotaxis
- Spatio-temporal chaos in a chemotaxis model
- Travelling waves in hyperbolic chemotaxis equations
- Wavefront of an angiogenesis model
- Traveling bands of chemotactic bacteria: a theoretical analysis
- Travelling front solutions arising in the chemotaxis-growth model
- Global solutions of some chemotaxis and angiogenesis system in high space dimension
- Traveling waves for the Keller-Segel system with Fisher birth terms
- Families of traveling impulses and fronts in some models with cross-diffusion
- Traveling waves in a chemotactic model
- On the stability of steadily propagating bands of chemotactic bacteria
- Boundary movement of chemotactic bacterial populations
- Steady-state distribution of bacteria chemotactic toward oxygen
- Theoretical significance of the condition \(\delta=2\mu\) in bacterial chemotaxis
- A chemotaxis model motivated by angiogenesis
- A constructive approach to traveling waves in chemotaxis
- Avascular growth, angiogenesis and vascular growth in solid tumours: The mathematical modelling of the stages of tumour development
- Large-time behavior of a parabolic-parabolic chemotaxis model with logarithmic sensitivity in one dimension
- Global Dynamics of a Hyperbolic-Parabolic Model Arising from Chemotaxis
- Traveling waves for chemotaxis–systems
- Nonlinear Stability of Traveling Waves to a Hyperbolic-Parabolic System Modeling Chemotaxis
- ON A HYPERBOLIC–PARABOLIC SYSTEM MODELING CHEMOTAXIS
- Shock formation in a chemotaxis model
- Global Existence of Classical Solutions for a Haptotaxis Model
- Traveling Wavefronts in a Volume-Filling Chemotaxis Model
- Classical solutions and pattern formation for a volume filling chemotaxis model
- A System of Reaction Diffusion Equations Arising in the Theory of Reinforced Random Walks
- Mathematical Analysis of a Model for the Initiation of Angiogenesis
- Mathematical modeling of the onset of capillary formation initiating angiogenesis
