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

数学学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

8 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	881-906
页数	26
期刊	Proceedings of the Royal Society of Edinburgh Section A: Mathematics
卷	153
期	3
DOI	https://doi.org/10.1017/prm.2022.24
出版状态	已出版 - 12 6月 2023

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10.1017/prm.2022.24

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Wang, Y., & Xu, C. (2023). Asymptotic behaviour in a doubly haptotactic cross-diffusion model for oncolytic virotherapy. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 153(3), 881-906. https://doi.org/10.1017/prm.2022.24

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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.",

keywords = "Haptotaxis, L log L-estimates, asymptotic behaviour",

author = "Yifu Wang and Chi Xu",

note = "Publisher Copyright: {\textcopyright} The Author(s), 2022. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh.",

year = "2023",

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

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