Traveling wavefronts of a nonlinear reaction–diffusion model of tumor growth under the acid environment

DOI10.1142/S179352451450034XzbMath1329.92062OpenAlexW2025908697MaRDI QIDQ2922118

Xiufang Wang, Yang Luo, Huiyan Zhu

Publication date: 9 October 2014

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s179352451450034x

zbMATH Keywords

existencetumor growthreaction-diffusiontraveling wavefrontsexcess \(\mathrm{H}^{+}\) ion

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Medical applications (general) (92C50) Traveling wave solutions (35C07)

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Cites Work

• Existence of traveling wavefronts for Sherratt's avascular tumor model
• Modelling and mathematical problems related to tumor evolution and its interaction with the immune system
• Mathematical biology. Vol. 1: An introduction.
• Exponential dichotomies and transversal homoclinic points
• Travelling waves for delayed reaction–diffusion equations with global response
• Justification for wavefront propagation in a tumour growth model with contact inhibition
• Cellular Growth Control and Travelling Waves of Cancer
• Wavefront propagation in a competition equation with a new motility term modelling contact inhibition between cell populations
• Asymptotically Autonomous Semiflows: Chain Recurrence and Lyapunov Functions

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