Boundedness and stabilization in a haptotaxis model of oncolytic virotherapy with nonlinear sensitivity

Asymptotic behavior of solutions to PDEs (35B40) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

Unnamed Item
On the stability of homogeneous steady states of a chemotaxis system with logistic growth term
Boundedness in a fully parabolic chemotaxis system with singular sensitivity
Global existence of a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant
Global existence for a haptotaxis model of cancer invasion with tissue remodeling
Global weak solutions in a chemotaxis system with large singular sensitivity
Initiation of slime mold aggregation viewed as an instability
Global solutions of some chemotaxis and angiogenesis system in high space dimension
Gagliardo-Nirenberg inequalities involving the gradient \(L^2\)-norm
Local existence and uniqueness of regular solutions in a model of tissue invasion by solid tumours
Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
Global solutions and asymptotic behavior for a parabolic degenerate coupled system arising from biology
Renormalized radial large-data solutions to the higher-dimensional Keller-Segel system with singular sensitivity and signal absorption
Singular structure formation in a degenerate haptotaxis model involving myopic diffusion
Global weak solutions to an oncolytic viral therapy model with doubly haptotactic terms
Global classical solutions to an oncolytic viral therapy model with triply haptotactic terms
Analysis of a two-dimensional triply haptotactic model with a fusogenic oncolytic virus and syncytia
Dampening effects on global boundedness and asymptotic behavior in an oncolytic virotherapy model
Global classical solutions to a higher-dimensional doubly haptotactic cross-diffusion system modeling oncolytic virotherapy
Multiscale moving boundary modelling of cancer interactions with a fusogenic oncolytic virus: the impact of syncytia dynamics
A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy
Boundedness in a haptotactic cross-diffusion system modeling oncolytic virotherapy
Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction
Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy
Multiscale modelling of cancer response to oncolytic viral therapy
A generalized solution concept for the Keller-Segel system with logarithmic sensitivity: global solvability for large nonradial data
Stabilization in the logarithmic Keller-Segel system
Energy-type estimates and global solvability in a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant
Global existence and uniqueness of solutions for multidimensional weakly parabolic systems arising in chemistry and biology
Dampening effect of logistic source in a two-dimensional haptotaxis system with nonlinear zero-order interaction
The two-dimensional Keller–Segel system with singular sensitivity and signal absorption: Global large-data solutions and their relaxation properties
Boundedness in a chemotaxis–haptotaxis model with nonlinear diffusion
Global Weak Solutions in a PDE-ODE System Modeling Multiscale Cancer Cell Invasion
Global existence and slow grow-up in a quasilinear Keller–Segel system with exponentially decaying diffusivity
ASYMPTOTIC BEHAVIOR OF GLOBAL SOLUTIONS TO A MODEL OF CELL INVASION
Absence of collapse in a parabolic chemotaxis system with signal-dependent sensitivity
Global solutions in a fully parabolic chemotaxis system with singular sensitivity
L^PBounds of solutions of reaction-diffusion equations
Mathematical Modelling of Tumour Invasion and Metastasis
Global classical solution and boundedness to a chemotaxis-haptotaxis model with re-establishment mechanisms
Global classical solvability in a three‐dimensional haptotaxis system modeling oncolytic virotherapy
A critical virus production rate for efficiency of oncolytic virotherapy
MATHEMATICAL MODELLING OF CANCER CELL INVASION OF TISSUE: THE ROLE OF THE UROKINASE PLASMINOGEN ACTIVATION SYSTEM
Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy
Asymptotic behavior of a three-dimensional haptotactic cross-diffusion system modeling oncolytic virotherapy
Asymptotic behaviour in a doubly haptotactic cross-diffusion model for oncolytic virotherapy

This page was built for publication: Boundedness and stabilization in a haptotaxis model of oncolytic virotherapy with nonlinear sensitivity