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Global stability and persistence in diffusive food chains

Published online by Cambridge University Press:  17 February 2009

Yang Kuang
Yang Kuang
Affiliation:
Department of Mathematics, Arizona State University, Tempe, AZ 85287, USA. e-mail: kuang@asu.edu
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Abstract

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In this paper, the results of Freedman and So [13] on global stability and persistence of simple food chains are extended to general diffusive food chains. For global stability of the unique homogeneous positive steady state, our approach involves an application of the invariance principle of reaction-diffusion equations and the construction of a Liapunov functional. For persistence, we use the dynamical system results of Dunbar et al. [11] and Hutson and Moran [29].

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 43 , Issue 2 , October 2001 , pp. 247 - 268
Copyright
Copyright © Australian Mathematical Society 2001

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