Global existence and stability of solution of a reaction-diffusion model for cancer invasion

DOI10.1016/j.nonrwa.2008.01.011zbMath1162.34333OpenAlexW2009405325WikidataQ111492256 ScholiaQ111492256MaRDI QIDQ1015051

Shengmao Fu, Shang-bin Cui

Publication date: 7 May 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.01.011

zbMATH Keywords

stabilityLyapunov functionglobal existencemodel of cancer invasion

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20)

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Cites Work

• Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
• Dynamic theory of quasilinear parabolic systems. III: Global existence
• Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly coupled cross-diffusion
• Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with weak cross-diffusion
• Stability in a diffusive food-chain model with Michaelis-Menten functional response
• Strategy and stationary pattern in a three-species predator--prey model
• Dynamic theory of quasilinear parabolic equations—I. Abstract evolution equations
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