Abstract
A transport equation is used which describes the temporal behavior of interacting populations in changing environments. The formulation takes into account the internal state variables of the individuals. The general theory is applied to the transient analysis of a microbial predator-prey system using an approximate model for the specific cell growth rate and multigroup formulism to approximate the mass distribution within the population. Experimental results in aTetrahymena pyriformis— Aerobacter aerogenes system have been used to evaluate the group parameters and test the validity of the theoretical predictions.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Canale, R.P., Lustig, T.D., Kehrberger, P.M., and Salo, J.E. 1973. Experimental and mathematical modeling studies of protozoan predation on bacteria.Biotech. and Bioeng.,15: 107.
Curds, C.R. 1971. Computer simulations of microbial population dynamics in the activated sludge process.Water Res. 5: 1049.
Villarreal, E., Akcasu, A., and Canale, R. 1976. A theory of interacting microbial populations: Multigroup approach.J. of Theor. Biol. 58: 285–317.
Villarreal, E., Canale, R., and Akcasu, A. 1975. A multigroup model for predator-prey interactions.Biotech. and Bioeng. 17, 1269.
Villarreal, E. 1974. A theory on interacting species: A multigroup approach to microbial growth. Ph.D. Thesis. The University of Michigan.
Lustig, T.D. 1971. Predator-prey interactions in an experimental protozoan community (Tetrahymena pyriformis-Aerobacter aerogenes). Technical Report of The University of Michigan Sea Grant Program. Ann Arbor, Michigan.
Von Foerster, H. 1959. Some remarks on changing populations. In: Kinetics of Cellular Proliferation. R. Stohlman, Jr., editor. Grune and Stratton. N.Y., N.Y.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Villarreal, E., Canale, R.R. & Akcasu, Z. Transport equations for a microbial predator-prey community. Microb Ecol 3, 131–142 (1977). https://doi.org/10.1007/BF02010402
Issue Date:
DOI: https://doi.org/10.1007/BF02010402