Mathematical models and stabilizing bio-control mechanisms for microbial populations in a cultured environment

V. Sree Hari Rao and P. Raja Sekhara Rao

Chaos, Solitons & Fractals, 2006, vol. 28, issue 5, 1222-1251

Abstract: In this paper we have analyzed a limited nutrient–consumer dynamic model involving distributed time delays both in material recycling and growth response of consumer. It is established that the system exhibits instability characteristics due to the presence of time delays. Three different types of naturally feasible bio-control mechanisms are proposed. It is established that these mechanisms have a stabilizing effect on the system in their own respect. Several independent sets of sufficient conditions for the global asymptotic stability are obtained in each case. Examples and simulations are provided for a clear understanding of the results.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:28:y:2006:i:5:p:1222-1251

DOI: 10.1016/j.chaos.2005.07.015

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