Global behavior of a reaction-diffusion Volterra equation with variable coefficients

DOI10.1216/RMJ-2008-38-5-1335zbMath1157.34045OpenAlexW2079912677MaRDI QIDQ1011066

Lin-Lin Wang, Yong-Hong Fan

Publication date: 7 April 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2008-38-5-1335

zbMATH Keywords

global stabilitysub- and supersolutionsLyapunov functional methodreaction-diffusion Volterra equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Global stability of solutions to ordinary differential equations (34D23)

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Cites Work

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• On a certain class of semilinear Volterra diffusion equations
• Theory and applications of partial functional differential equations
• Strategy and stationary pattern in a three-species predator--prey model
• Existence theorems for semilinear parabolic systems with functionals
• On a modified Volterra population equation with diffusion