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A Lyapunov function for a reaction-diffusion system

✍ Scribed by M. Guedda; M. Kirane

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
115 KB
Volume
10
Category
Article
ISSN
0893-9659

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✦ Synopsis

Communicated by G. C. Wake

Abstract--A Lyapunov function for the analysis of a class of reaction-diffusion systems is presented. The Lyapunov function reduces the system to a single reaction-diffusion equation for which the maximum principle can be applied. The method is limited in its applicability, but very quickly yields important results when it can be used. An application to an epidemiological system is given.

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