Thresholds for mathematical models of microbial interaction

Sophia R.J. Jang; Ben W.L. Jang

doi:10.1109/CBMS.2000.856874

Thresholds for mathematical models of microbial interaction

Sophia R.J. Jang, Ben W.L. Jang

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

A mathematical model which consists of nutrient, prey and predator for microbial interaction is proposed. The model assumes that the predator may consume its own population and is also incorporated with the mechanism that the nutrient is growth-limiting at low concentrations but may be growth-inhibiting at high concentrations to the prey population. It is demonstrated that intratrophic predation of the top predator has no effect on the dynamics of the lower trophic levels. However, it may alter the dynamics of the higher trophic level.

Original language	English
Pages (from-to)	51-56
Number of pages	6
Journal	Proceedings of the IEEE Symposium on Computer-Based Medical Systems
DOIs	https://doi.org/10.1109/CBMS.2000.856874
State	Published - 2000

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title = "Thresholds for mathematical models of microbial interaction",

abstract = "A mathematical model which consists of nutrient, prey and predator for microbial interaction is proposed. The model assumes that the predator may consume its own population and is also incorporated with the mechanism that the nutrient is growth-limiting at low concentrations but may be growth-inhibiting at high concentrations to the prey population. It is demonstrated that intratrophic predation of the top predator has no effect on the dynamics of the lower trophic levels. However, it may alter the dynamics of the higher trophic level.",

author = "Jang, {Sophia R.J.} and Jang, {Ben W.L.}",

year = "2000",

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journal = "Proceedings of the IEEE Symposium on Computer-Based Medical Systems",

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AB - A mathematical model which consists of nutrient, prey and predator for microbial interaction is proposed. The model assumes that the predator may consume its own population and is also incorporated with the mechanism that the nutrient is growth-limiting at low concentrations but may be growth-inhibiting at high concentrations to the prey population. It is demonstrated that intratrophic predation of the top predator has no effect on the dynamics of the lower trophic levels. However, it may alter the dynamics of the higher trophic level.

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JO - Proceedings of the IEEE Symposium on Computer-Based Medical Systems

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Thresholds for mathematical models of microbial interaction

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