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Permanence and asymptotic stability in diagonally convex reaction-diffusion systems

Abstract:

Reaction-diffusion systems are widely used to model competition in, for example, the scientific fields of biology, chemistry, medicine and industry. It is often not too difficult to establish positive uniform upper bounds on solution components of such systems, but the task of establishing strictly positive uniform lower bounds (when they exist) can be quite troublesome. Conditions for the existence of such lower bounds in Lotka-Volterra competitve models are already well known. A general con...

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Publication status:
Published

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Publisher copy:
10.1017/S0308210500027219

Authors


van Vuuren, JH More by this author
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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Journal:
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
Volume:
128
Issue:
1
Pages:
147-172
Publication date:
1998
DOI:
EISSN:
1473-7124
ISSN:
0308-2105
URN:
uuid:1cc4138e-83eb-42e3-9824-ca3d72afad93
Source identifiers:
1560
Local pid:
pubs:1560
Language:
English

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