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Globally Asymptotical Stability and Persistence in Reaction-Diffusion Models

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Author:: No author available

Journal Title:: JOURNAL OF BIOMATHEMATICS

Issue:: 1

DOI:: No doi available

Key Word:: 反应扩散模型;全局渐近稳定性;持续性;Reaction-diffusion models;globally asymptotical stability;persistence

Abstract： In this paper,we discuss the globally asymptotical stability of unique homogeneous positive steady state based on the invariance principle of reaction-diffusion equations and the construction of a Liapunov functional. Further,we give the criteria for persistence,using the dynamical system results of Dunbar et al.(1986) and Hutson and Moran(1987).

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