Abstract：
:A significant consideration in modeling systems with stages is to obtain models for the individual stages that have probability density functions (pdfs) of residence times that are close to those of the real system. Consequently, the theory of residence time distributions is important for modeling. Here I show first that linear deterministic compartmental systems with constant coefficients and their corresponding stochastic analogs (stochastic compartmental systems with linear rate laws) have the same pdfs of residence times for the same initial distributions of inputs. Furthermore, these are independent of inflows. Then I show that does not hold for non-linear deterministic systems and their stochastic analogs (stochastic compartmental systems with non-linear rate laws). In fact, for given initial distributions of inputs, the pdfs of non-linear determistic systems without inflows and of their stochastic analogs, are functions of the initial amounts injected. For systems with inflows, the pdfs change as the inflows influence the occupancies of the compartments of the system; they are state-dependent pdfs.
journal_name
Math Bioscijournal_title
Mathematical biosciencesauthors
Jacquez JAdoi
10.1016/s0025-5564(02)00110-4subject
Has Abstractpub_date
2002-11-01 00:00:00pages
127-39eissn
0025-5564issn
1879-3134pii
S0025556402001104journal_volume
180pub_type
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