Steady state in a biological system: global asymptotic stability

Maria Adelaide Sneider

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1988)

  • Volume: 82, Issue: 2, page 345-352
  • ISSN: 1120-6330

Abstract

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A suitable Liapunov function is constructed for proving that the unique critical point of a non-linear system of ordinary differential equations, considered in a well determined polyhedron K , is globally asymptotically stable in K . The analytic problem arises from an investigation concerning a steady state in a particular macromolecular system: the visual system represented by the pigment rhodopsin in the presence of light.

How to cite

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Sneider, Maria Adelaide. "Steady state in a biological system: global asymptotic stability." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 82.2 (1988): 345-352. <http://eudml.org/doc/287483>.

@article{Sneider1988,
abstract = {A suitable Liapunov function is constructed for proving that the unique critical point of a non-linear system of ordinary differential equations, considered in a well determined polyhedron $K$, is globally asymptotically stable in $K$. The analytic problem arises from an investigation concerning a steady state in a particular macromolecular system: the visual system represented by the pigment rhodopsin in the presence of light.},
author = {Sneider, Maria Adelaide},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Steady state; Global asymptotic stability; Biological system},
language = {eng},
month = {6},
number = {2},
pages = {345-352},
publisher = {Accademia Nazionale dei Lincei},
title = {Steady state in a biological system: global asymptotic stability},
url = {http://eudml.org/doc/287483},
volume = {82},
year = {1988},
}

TY - JOUR
AU - Sneider, Maria Adelaide
TI - Steady state in a biological system: global asymptotic stability
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1988/6//
PB - Accademia Nazionale dei Lincei
VL - 82
IS - 2
SP - 345
EP - 352
AB - A suitable Liapunov function is constructed for proving that the unique critical point of a non-linear system of ordinary differential equations, considered in a well determined polyhedron $K$, is globally asymptotically stable in $K$. The analytic problem arises from an investigation concerning a steady state in a particular macromolecular system: the visual system represented by the pigment rhodopsin in the presence of light.
LA - eng
KW - Steady state; Global asymptotic stability; Biological system
UR - http://eudml.org/doc/287483
ER -

References

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  1. FICHERA, G., SNEIDER, M.A., WYMAN, J.: On the existence of a steady state in a biological system, Memorie Accad. Naz. dei Lincei, s. VIII, XIV, 1977, 1-26. Zbl0414.92004
  2. FICHERA, G., SNEIDER, M.A., WYMAN, J.: On the existence of a steady state in a biological system, Proc. Nat. Acad. Sci. U.S.A., 1974, 4182-4184. Zbl0414.92004
  3. LEFSCHETZ, S., Differential equations: geometric theory, Interscience Publ. Inc., New York, 1957. Zbl0107.07101MR94488

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