Abstract
The analysis of a previous paper obtaining bounds on the total population number of species (chemical or biological) described by the recently proposed Dreitlein-Smoes model of oscillatory kinetic systems, including diffusion, is extended to generalized models of the Dreitlein-Smoes type, describing a system ofS components withS>2. The results for such generalized models are analogous to those of the previous case. It is found that the effects of diffusion serve to restrict the region in the concentration space available to limitcycle type oscillations.
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Literature
Dreitlein, J. and M.-L. Smoes. 1974. “A Model for Oscillatory Kinetic Systems.”J. Theor. Biol. 46, 559–572.
Fizell, R. G. and P. E. Rubin. 1976. “Bounds on the Populations in the Dreitlein-Smoes Model of Oscillatory Kinetic Systems.” To appear inBull. Math. Biol.
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Rubin, P.E. Bounds for generalized Dreitlein-Smoes models. Bltn Mathcal Biology 38, 739–743 (1976). https://doi.org/10.1007/BF02458647
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DOI: https://doi.org/10.1007/BF02458647