Dampening effects on global boundedness and asymptotic behavior in an oncolytic virotherapy model

This work studies a haptotactic cross-diffusion system modeling oncolytic virotherapy in two-dimensional domains, accounting for interaction among uninfected and infected cancer cells, extracellular matrix and oncolytic viruses. It is rigorously proved that an associated no-flux initial-boundary val...

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Bibliographic Details
Published in:Journal of Differential Equations 2022-01, Vol.308, p.57-76
Main Authors: Tao, Xueyan, Zhou, Shulin
Format: Article
Language:English
Subjects:
Asymptotic behavior
Boundedness
Haptotaxis
Oncolytic virotherapy
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Summary:This work studies a haptotactic cross-diffusion system modeling oncolytic virotherapy in two-dimensional domains, accounting for interaction among uninfected and infected cancer cells, extracellular matrix and oncolytic viruses. It is rigorously proved that an associated no-flux initial-boundary value problem has a unique global classical solution which is uniformly bounded under suitable assumptions. Moreover, it is shown that a bounded solution can approach spatially constant equilibrium in the large time limit.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2021.11.003