ANZIAM J.
47 (2006), 413-438
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Stability analysis of resource-consumer dynamic models
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V. Sree Hari Rao
Department of Mathematics
Jawaharlal Nehru Technological University
Hyderabad 500 072
India
vshrao@yahoo.com
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P. Raja Sekhara Rao
Department of Mathematics
Government Polytechnic
Gudur 524 102
India
raoprs@yahoo.com
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Abstract
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A nutrient-consumer model involving a
distributed delay in material recycling and a
discrete delay in growth response has been
analysed. Various easily verifiable sets of
sufficient conditions for global asymptotic
stability of the positive equilibrium solution of
the model equations have been obtained and the
length of the delay in each case has been
estimated.
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Australian Mathematical Publishing Association Inc.
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Australian MS
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