ANZIAM  J.  47 (2006), 413-438
Stability analysis of resource-consumer dynamic models

V. Sree Hari Rao
  Department of Mathematics
  Jawaharlal Nehru Technological University
  Hyderabad 500 072
P. Raja Sekhara Rao
  Department of Mathematics
  Government Polytechnic
  Gudur 524 102

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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