Boundedness and stabilization of solutions to a chemotaxis May-Nowak model
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Publication:2026471
DOI10.1007/s00033-021-01491-0zbMath1466.35044OpenAlexW3131703911MaRDI QIDQ2026471
Xu Pan, Liangchen Wang, Xue-Gang Hu
Publication date: 19 May 2021
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-021-01491-0
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (10)
Spatial propagation for the lattice competition system in moving habitats ⋮ Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision ⋮ Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities ⋮ Stability Analysis of the Immune System Induced by Chemotaxis ⋮ Global boundedness of the immune chemotaxis system with general kinetic functions ⋮ Dynamics of a chemotaxis-May-Nowak model with volume filling sensitivity ⋮ Boundedness in a chemotaxis-May-Nowak model for virus dynamics with mildly saturated chemotactic sensitivity and conversion ⋮ Global solutions to a chemotaxis-May-Nowak model with arbitrary superlinear degradation ⋮ Stabilization in a chemotaxis-May-Nowak model with exposed state ⋮ Global boundedness and stability analysis of the quasilinear immune chemotaxis system
Cites Work
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- Global properties of basic virus dynamics models
- Repulsion effect on superinfecting virions by infected cells for virus infection dynamic model with absorption effect and chemotaxis
- Turing patterns from dynamics of early HIV infection
- Boundedness in a parabolic-parabolic quasilinear chemotaxis system with logistic source
- Nondegeneracy of blow-up points for the parabolic Keller-Segel system
- Repulsion effect on superinfecting virions by infected cells
- Boundedness and stabilization in a two-dimensional two-species chemotaxis-Navier-Stokes system with competitive kinetics
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Initiation of slime mold aggregation viewed as an instability
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- How strong a logistic damping can prevent blow-up for the minimal Keller-Segel chemotaxis system?
- Boundedness enforced by mildly saturated conversion in a chemotaxis-May-Nowak model for virus infection
- The effects of distributed life cycles on the dynamics of viral infections
- A new result for boundedness and stabilization in a two-species chemotaxis system with two chemicals
- On a quasilinear fully parabolic two-species chemotaxis system with two chemicals
- Stabilization in a chemotaxis model for virus infection
- Boundedness in a chemotaxis-May-Nowak model for virus dynamics with mildly saturated chemotactic sensitivity
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Boundedness in a chemotaxis system with nonlinear signal production
- Boundedness of solutions to a virus infection model with saturated chemotaxis
- 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
- The Mathematics of Infectious Diseases
- Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
- Does a ‘volume-filling effect’ always prevent chemotactic collapse?
- A critical blow-up exponent in a chemotaxis system with nonlinear signal production
- COMPETING EFFECTS OF ATTRACTION VS. REPULSION IN CHEMOTAXIS
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Occurrence vs. Absence of Taxis-Driven Instabilities in a May--Nowak Model for Virus Infection
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
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