Document Type
Report
Source Publication Title
Technical Report 156
Abstract
Let x(t) be a solution of a compartmental system. If, for some compartment j, x (t) -> 0 as t -> °°, then we say that compartment j washes out. We show that a compartment washes out if it always reaches (along a fixed path) either the environment or another compartment for which there is no return path. Additional criteria, particularly regarding exponential convergence, are also presented. Examples are drawn from tracer kinetics, enzyme reactions, and epidemic models.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
4-1-1981
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Eisenfeld, Jerome, "On Washout in Nonlinear Compartmental Systems" (1981). Mathematics Technical Papers. 255.
https://mavmatrix.uta.edu/math_technicalpapers/255