Persistence property in a two-species chemotaxis system with two signals
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Publication:4599484
DOI10.1063/1.5010681zbMath1383.92021OpenAlexW2768814272MaRDI QIDQ4599484
Pan Zheng, Xue-Gang Hu, Chun-Lai Mu
Publication date: 2 January 2018
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.5010681
Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61) Systems of nonlinear higher-order PDEs (35G50)
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Cites Work
- Chemotaxis can prevent thresholds on population density
- Very weak global solutions to a parabolic-parabolic chemotaxis-system with logistic source
- Boundedness properties of very weak solutions to a fully parabolic chemotaxis-system with logistic source
- Pattern formation of the attraction-repulsion Keller-Segel system
- Global existence and boundedness of classical solutions for a chemotaxis model with logistic source
- Finite-time blow-up in higher dimensional fully-parabolic chemotaxis system for two species
- Generalizing the Keller-Segel model: Lyapunov functionals, steady state analysis, and blow-up results for multi-species chemotaxis models in the presence of attraction and repulsion between competitive interacting species
- Boundedness of the attraction-repulsion Keller-Segel system
- Boundedness of solutions in a chemotaxis system with nonlinear sensitivity and logistic source
- Boundedness and blow-up for a chemotaxis system with generalized volume-filling effect and logistic source
- How far can chemotactic cross-diffusion enforce exceeding carrying capacities?
- Persistence of mass in a chemotaxis system with logistic source
- Boundedness vs. blow-up in a two-species chemotaxis system with two chemicals
- Global boundedness in a two-competing-species chemotaxis system with two chemicals
- Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals
- Exponential attractor for a chemotaxis-growth system of equations
- Initiation of slime mold aggregation viewed as an instability
- Chemotaxis with logistic source: very weak global solutions and their boundedness properties
- Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect
- Eventual smoothness and asymptotic behaviour of solutions to a chemotaxis system perturbed by a logistic growth
- Global existence and boundedness of classical solutions to a parabolic-parabolic chemotaxis system
- Blowup in higher dimensional two species chemotactic systems
- Competitive exclusion in a two-species chemotaxis model
- Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source
- Global boundedness of solutions to a two-species chemotaxis system
- 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
- Boundedness in a two-species quasi-linear chemotaxis system with two chemicals
- On a quasilinear parabolic-elliptic chemotaxis system with logistic source
- Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening
- Boundedness vs. blow-up in a chemotaxis system
- Large-time behavior of an attraction-repulsion chemotaxis system
- Global existence and steady states of a two competing species Keller-Segel chemotaxis model
- Boundedness in a two-species chemotaxis system
- Global Weak Solutions in a PDE-ODE System Modeling Multiscale Cancer Cell Invasion
- Stabilization in a two-species chemotaxis system with a logistic source
- Remarks on the blowup and global existence for a two species chemotactic Keller–Segel system in2
- Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
- Classical solutions and steady states of an attraction–repulsion chemotaxis in one dimension
- Finite-time blow-up in a quasilinear system of chemotaxis
- Simultaneous finite time blow-up in a two-species model for chemotaxis
- COMPETING EFFECTS OF ATTRACTION VS. REPULSION IN CHEMOTAXIS
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- A Chemotaxis System with Logistic Source
- Boundedness of solutions to a quasilinear parabolic-elliptic Keller-Segel system with logistic source
- Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains
