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Conditions for permanence in well-known biological competition models

Abstract:

Reaction-diffusion systems are widely used to model the population densities of biological species competing for natural resources in their common habitat. 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. Two previously established criteria for the permanence (non-extinction and non-explosion) of solutions of general we...

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Publication status:
Published

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Authors


Van Vuuren, JH More by this author
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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Journal:
ANZIAM JOURNAL
Volume:
42
Issue:
2
Pages:
195-223
Publication date:
2000-10-05
ISSN:
1442-4436
URN:
uuid:c87a5920-a8ac-4732-b999-1344ac45970c
Source identifiers:
12552
Local pid:
pubs:12552
Language:
English

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