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Stability analysis of resource-consumer dynamic models

Published online by Cambridge University Press:  17 February 2009

V. Sree Hari Rao  and
P. Raja Sekhara Rao
V. Sree Hari Rao
Affiliation:
Department of Mathematics, Jawaharlal Nehru Technological University, Hyderabad 500 072, India; e-mail: vshrao@yahoo.com.
P. Raja Sekhara Rao
Affiliation:
Department of Mathematics, Government Polytechnic, Gudur 524 102, India; e-mail: 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.

Keywords

nutrient-consumer dynamics.
Type
Research Article
Information
The ANZIAM Journal , Volume 47 , Issue 3 , January 2006 , pp. 413 - 438
Copyright
Copyright © Australian Mathematical Society 2006

References

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