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

Yifu Wang, Chi Xu

Research output: Contribution to journalArticlepeer-review

5 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 languageEnglish
Pages (from-to)881-906
Number of pages26
JournalProceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume153
Issue number3
DOIs
Publication statusPublished - 12 Jun 2023

Keywords

  • Haptotaxis
  • L log L-estimates
  • asymptotic behaviour

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