On a parabolic-elliptic chemotactic model with coupled boundary conditions
DOI10.1016/j.nonrwa.2010.02.016zbMath1207.35055OpenAlexW2063890746MaRDI QIDQ708551
Publication date: 14 October 2010
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.02.016
asymptotic behaviorglobal existencecoexistence stateshomogeneous equilibrium solutionsystem of parabolic-elliptic type
Stability in context of PDEs (35B35) Cell movement (chemotaxis, etc.) (92C17) Semilinear parabolic equations (35K58) Boundary value problems for second-order elliptic systems (35J57) Pattern formations in context of PDEs (35B36) Classical solutions to PDEs (35A09)
Related Items (7)
Cites Work
- Unnamed Item
- Chemotaxis with logistic source: very weak global solutions and their boundedness properties
- An angiogenesis model with nonlinear chemotactic response and flux at the tumor boundary
- Geometric theory of semilinear parabolic equations
- Pattern formation in a generalized chemotactic model
- Overview of mathematical approaches used to model bacterial chemotaxis. II: Bacterial popu\-lations
- Antimaximum principle for quasilinear problems
- Mathematical analysis and stability of a chemotaxis model with logistic term
- Bifurcation of steady-state solutions in predator-prey and competition systems
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
- A Combined Chemotaxis-haptotaxis System: The Role of Logistic Source
- Global bifurcation of solutions to diffusive logistic equations on bounded domains subject to nonlinear boundary conditions
- Remarks on sublinear elliptic equations
- A Chemotaxis System with Logistic Source
- MATHEMATICAL MODELLING OF CANCER CELL INVASION OF TISSUE: THE ROLE OF THE UROKINASE PLASMINOGEN ACTIVATION SYSTEM
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