Asymptotic behaviour in a doubly haptotactic cross-diffusion model for oncolytic virotherapy

Yifu Wang; Chi Xu

doi:10.1017/prm.2022.24

Asymptotic behaviour in a doubly haptotactic cross-diffusion model for oncolytic virotherapy

Yifu Wang, Chi Xu

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

This paper considers a model for oncolytic virotherapy given by the doubly haptotactic cross-diffusion system with positive parameters,. When posed under no-flux boundary conditions in a smoothly bounded domain, and along with initial conditions involving suitably regular data, the global existence of classical solution to this system was asserted in Tao and Winkler (2020, J. Differ. Equ. 268, 4973-4997). Based on the suitable quasi-Lyapunov functional, it is shown that when the virus replication rate <![CDATA[$\beta, the global classical solution is uniformly bounded and exponentially stabilizes to the constant equilibrium in the topology as.

Original language	English
Pages (from-to)	881-906
Number of pages	26
Journal	Proceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume	153
Issue number	3
DOIs	https://doi.org/10.1017/prm.2022.24
Publication status	Published - 12 Jun 2023

Keywords

Haptotaxis
L log L-estimates
asymptotic behaviour

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10.1017/prm.2022.24

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title = "Asymptotic behaviour in a doubly haptotactic cross-diffusion model for oncolytic virotherapy",

abstract = "This paper considers a model for oncolytic virotherapy given by the doubly haptotactic cross-diffusion system with positive parameters,. When posed under no-flux boundary conditions in a smoothly bounded domain, and along with initial conditions involving suitably regular data, the global existence of classical solution to this system was asserted in Tao and Winkler (2020, J. Differ. Equ. 268, 4973-4997). Based on the suitable quasi-Lyapunov functional, it is shown that when the virus replication rate <![CDATA[$\beta, the global classical solution is uniformly bounded and exponentially stabilizes to the constant equilibrium in the topology as.",

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AU - Wang, Yifu

AU - Xu, Chi

N1 - Publisher Copyright: © The Author(s), 2022. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh.

PY - 2023/6/12

Y1 - 2023/6/12

N2 - This paper considers a model for oncolytic virotherapy given by the doubly haptotactic cross-diffusion system with positive parameters,. When posed under no-flux boundary conditions in a smoothly bounded domain, and along with initial conditions involving suitably regular data, the global existence of classical solution to this system was asserted in Tao and Winkler (2020, J. Differ. Equ. 268, 4973-4997). Based on the suitable quasi-Lyapunov functional, it is shown that when the virus replication rate <![CDATA[$\beta, the global classical solution is uniformly bounded and exponentially stabilizes to the constant equilibrium in the topology as.

AB - This paper considers a model for oncolytic virotherapy given by the doubly haptotactic cross-diffusion system with positive parameters,. When posed under no-flux boundary conditions in a smoothly bounded domain, and along with initial conditions involving suitably regular data, the global existence of classical solution to this system was asserted in Tao and Winkler (2020, J. Differ. Equ. 268, 4973-4997). Based on the suitable quasi-Lyapunov functional, it is shown that when the virus replication rate <![CDATA[$\beta, the global classical solution is uniformly bounded and exponentially stabilizes to the constant equilibrium in the topology as.

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KW - L log L-estimates

KW - asymptotic behaviour

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JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

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Asymptotic behaviour in a doubly haptotactic cross-diffusion model for oncolytic virotherapy

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Keywords

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