4.7 Article

Global stability for reaction-diffusion equations in biology

Journal

COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 66, Issue 8, Pages 1488-1497

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2013.08.023

Keywords

Diffusion; Lyapunov functionals; Stability

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The aim of this work is to study the global stability for some diffusion equations in biology by constructing Lyapunov functionals. These Lyapunov functionals are obtained from those for ordinary differential equations. Several examples from virology and epidemiology are given to illustrate our method. (C) 2013 Elsevier Ltd. All rights reserved.

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