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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/7784

Title: Study of some unique features of ratio-dependent models for predator-prey-substrate interactions in continuous culture
Authors: Alhumazi, Khalid
Ali, Emad
Ajbar, Abdelhamid
Keywords: Study of Some
Unique Features
Ratio-Dependent Models
Continuous Cultures
Issue Date: 2006
Publisher: Taylor & Francis
Citation: Chemical Engineering Communications: 193; 1164
Abstract: This paper studies the dynamics of ratio-dependent models for continuous bioreactors involving interactions between predator, prey and a limiting sub- strate. Ratio-dependent models, for which the growth rate of predator is a function of the ratio of prey to predator abundance, have received recently growing attention and were shown to exhibit more interesting behavior than the classical (strictly)prey-dependent models. It is shown that besides pre- dicting areas of predator washout and areas of total washout, the studied example of ratio-dependent models predict areas for which the species co- exist either at steady state or in oscillatory mode for any initial population values. The studied models also predict a unique feature for which the inter- acting species can coexist or washout depending on their initial values. The objective of this paper is to study in some detail this interesting behavior that makes ratio dependent models better candidates in predicting predator-prey interactions in real biological life.
URI: http://hdl.handle.net/123456789/7784
Appears in Collections:College of Applied Studies and Community Service

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