Title :
Thresholds for mathematical models of microbial interaction
Author :
Jang, Sophia R J ; Jang, Ben W L
Author_Institution :
Dept. of Math., Texas Tech. Univ., Lubbock, TX, USA
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 also incorporates the mechanism that the nutrient is growth-limiting to the prey population at low concentrations but may be growth-inhibiting at high concentrations. 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
Keywords :
biocybernetics; microorganisms; modelling; growth-inhibiting nutrient; growth-limiting nutrient; intratrophic predation; mathematical models; microbial interaction; nutrient concentration; population consumption; predator-prey models; thresholds; trophic level dynamics; Biology; Biomedical engineering; Collaboration; Degradation; Electronic mail; Feeds; Genetics; Mathematical model; Mathematics; Medical treatment;
Conference_Titel :
Computer-Based Medical Systems, 2000. CBMS 2000. Proceedings. 13th IEEE Symposium on
Conference_Location :
Houston, TX
Print_ISBN :
0-7695-0484-1
DOI :
10.1109/CBMS.2000.856874
