Stability analysis of resource-consumer dynamic models

• Autores: P. R. S. Rao, V. S. H. Rao
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 47, Nº 3, 2006, págs. 413-438
• Idioma: inglés
• DOI: 10.1017/s1446181100009925
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• Resumen

  • 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.