Asymptotic behavior for solutions to an oncolytic virotherapy model involving triply haptotactic terms

DOI10.1007/S00033-022-01691-2zbMath1485.35064OpenAlexW4213120293MaRDI QIDQ2116231

Yanan Wei, Jing Li, Yifu Wang

Publication date: 16 March 2022

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-022-01691-2

zbMATH Keywords

asymptotic behavioroncolytic viruses\( L^p-L^q\) estimation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (4)

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 ⋮ Global existence and asymptotic behavior for a fully cross-diffusive predator-prey model

Cites Work

• Global classical small-data solutions for a three-dimensional chemotaxis Navier-Stokes system involving matrix-valued sensitivities
• Global existence of a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant
• Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
• Repulsion effects on boundedness in the higher dimensional fully parabolic attraction-repulsion chemotaxis system
• 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
• Viral reproductive strategies: how can lytic viruses be evolutionarily competitive?
• 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
• Boundedness vs. blow-up in a chemotaxis system
• Global Asymptotic Stability of Equilibria in Models for Virus Dynamics
• Heat kernels and maximal l^p—l^qestimates for parabolic evolution equations
• Global classical solvability in a three‐dimensional haptotaxis system modeling oncolytic virotherapy
• Global boundedness and decay property of a three-dimensional Keller–Segel–Stokes system modeling coral fertilization

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