CELLULAR SYSTEMS .2. STABILITY OF COMPARTMENTAL SYSTEMS

被引：28

作者：

LADDE, GS ^{[1
]}

机构：

[1] SUNY POTSDAM, DEPT MATH, POTSDAM, NY 13676 USA

来源：

MATHEMATICAL BIOSCIENCES | 1976年 / 30卷 / 1-2期

关键词：

D O I：

10.1016/0025-5564(76)90013-4

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

By employing the concept of vector Lyapunov functions and the theory of differential inequalities, the stability analysis of compartmental systems is initiated in a systematic and unified way. An attempt is made to formulate and partially resolve the complexity vs. stability problem in open compartmental systems. The recent stability results obtained for open chemical systems are applied to open compartmental systems in a natural way. As a byproduct of this analysis, an estimate was obtained for washout functions. The stability analysis of compartmental systems provides a common conceptual framework for innumerable, apparently unrelated systems in biological, medical and physical sciences.

引用

页码：1 / 21

页数：21

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