Abstract
The distribution of concentrations of two competing microbial species among the vessels of an n-vessel gradostat at equilibrium is studied for the standard mathematical model of the gradostat. As the equilibrium concentrations cannot be explicitly computed, a continuum limit, as the number of vessels becomes large, is considered which yields a singularly perturbed boundary value problem. Standard singular perturbation techniques yield information on equilibrium species concentration distributions which agree well with numerical calculations for even moderate values of n.
Original language | English (US) |
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Pages (from-to) | 31-48 |
Number of pages | 18 |
Journal | Journal Of Mathematical Biology |
Volume | 30 |
Issue number | 1 |
DOIs | |
State | Published - Oct 1991 |
Keywords
- Coexistence equilibrium
- Continuum limit
- Singular perturbation
ASJC Scopus subject areas
- Modeling and Simulation
- Agricultural and Biological Sciences (miscellaneous)
- Applied Mathematics