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The Stability of Steady States for a Model with Diffusion and Spatial Average

✍ Scribed by Wu Yaping; Lin Yuanqu

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 84 KB
Volume: 232
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1999.6263

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✦ Synopsis

This paper is concerned with the existence and stability of nonnegative steadystate solutions for a model of forest with diffusion and spatial average. By the theory of analytic semigroup and detailed spectral analysis, the exponential stability and instability of these steady states are proved. Furthermore, the results about the global stability of zero solution is also obtained.

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