A parabolic-elliptic-elliptic attraction-repulsion chemotaxis system with logistic source
From MaRDI portal
Publication:2013104
DOI10.1016/j.jmaa.2017.05.068zbMath1433.35203OpenAlexW2621176308MaRDI QIDQ2013104
Jie Zhao, Ke Lin, Deqin Zhou, Chun-Lai Mu
Publication date: 3 August 2017
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.05.068
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Initial-boundary value problems for mixed-type systems of PDEs (35M33)
Related Items
Global boundedness in an attraction-repulsion chemotaxis system with logistic source, Boundedness in a two species attraction-repulsion chemotaxis system with two chemicals, The carrying capacity to chemotaxis system with two species and competitive kinetics in \(N\) dimensions, Spreading speed in a fractional attraction-repulsion chemotaxis system with logistic source, Asymptotic behavior in an attraction-repulsion chemotaxis system with nonlinear productions, A new result on existence of global bounded classical solution to a attraction-repulsion chemotaxis system with logistic source, Convergence rate of a quasilinear parabolic-elliptic chemotaxis system with logistic source
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Chemotactic signaling, microglia, and Alzheimer's disease senile plaques: Is there a connection?
- Blow-up of nonradial solutions to attraction-repulsion chemotaxis system in two dimensions
- Chemotaxis can prevent thresholds on population density
- Blowup and global solutions in a chemotaxis-growth system
- A quasilinear attraction-repulsion chemotaxis system of parabolic-elliptic type with logistic source
- Global existence and convergence to steady states for an attraction-repulsion chemotaxis system
- Boundedness and blow up in the higher-dimensional attraction-repulsion chemotaxis system with nonlinear diffusion
- Boundedness in a parabolic-elliptic chemotaxis-growth system under a critical parameter condition
- Boundedness in a parabolic-parabolic quasilinear chemotaxis system with logistic source
- Finite-time blowup and global-in-time unbounded solutions to a parabolic-parabolic quasilinear Keller-Segel system in higher dimensions
- Boundedness of the attraction-repulsion Keller-Segel system
- How far can chemotactic cross-diffusion enforce exceeding carrying capacities?
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Blow-up in a higher-dimensional chemotaxis system despite logistic growth restriction
- Initiation of slime mold aggregation viewed as an instability
- Model for chemotaxis
- Traveling bands of chemotactic bacteria: a theoretical analysis
- Boundedness, blowup and critical mass phenomenon in competing chemotaxis
- Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect
- Global existence and blow-up for a system describing the aggregation of microglia
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- On a quasilinear parabolic-elliptic chemotaxis system with logistic source
- Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains
- Boundedness vs. blow-up in a chemotaxis system
- Large-time behavior of an attraction-repulsion chemotaxis system
- Convergence rate estimates of solutions in a higher dimensional chemotaxis system with logistic source
- Blow-up in a chemotaxis model without symmetry assumptions
- Boundedness in a two-dimensional attraction-repulsion system with nonlinear diffusion
- On an attraction–repulsion chemotaxis system with a logistic source
- Classical solutions and steady states of an attraction–repulsion chemotaxis in one dimension
- Global boundedness in a fully parabolic attraction–repulsion chemotaxis model
- Large Time Behavior in a Multidimensional Chemotaxis-Haptotaxis Model with Slow Signal Diffusion
- Finite-time blow-up in a quasilinear system of chemotaxis
- Does a ‘volume-filling effect’ always prevent chemotactic collapse?
- COMPETING EFFECTS OF ATTRACTION VS. REPULSION IN CHEMOTAXIS
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Asymptotic dynamics of the one‐dimensional attraction–repulsion Keller–Segel model
- A Chemotaxis System with Logistic Source
- Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains
