Dampening effects on global boundedness and asymptotic behavior in an oncolytic virotherapy model
From MaRDI portal
Publication:2054010
DOI10.1016/j.jde.2021.11.003zbMath1479.35119OpenAlexW3211616880MaRDI QIDQ2054010
Publication date: 30 November 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2021.11.003
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items
Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities, Asymptotic behavior of a three-dimensional haptotactic cross-diffusion system modeling oncolytic virotherapy, Global boundedness in an oncolytic virotherapy model with generalized logistic source, Dampening effects on global boundedness in a quartic haptotactic model with fusogenic oncolytic virus and syncytia
Cites Work
- Global existence for a haptotaxis model of cancer invasion with tissue remodeling
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- A mathematical model to study the effects of drug resistance and vasculature on the response of solid tumors to chemotherapy
- Singular structure formation in a degenerate haptotaxis model involving myopic diffusion
- Mathematical modelling of drug transport in tumour multicell spheroids and monolayer cultures
- 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
- 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
- Energy-type estimates and global solvability in a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant
- Dampening effect of logistic source in a two-dimensional haptotaxis system with nonlinear zero-order interaction
- Global existence and slow grow-up in a quasilinear Keller–Segel system with exponentially decaying diffusivity
- Semilinear Parabolic Problems Define Semiflows on C k Spaces
- ASYMPTOTIC BEHAVIOR OF GLOBAL SOLUTIONS TO A MODEL OF CELL INVASION
- Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
- A critical virus production rate for efficiency of oncolytic virotherapy
