Global asymptotic stability of certain models for protein synthesis and repression-Reference-Cited by-同舟云学术

Global asymptotic stability of certain models for protein synthesis and repression

Published:1978 Issue:3 Volume:36 Page:209-221
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Banks H. T.,Mahaffy J. M.

Abstract

We consider a class of mathematical models involving nonlinear differential equations with hereditary terms. Included as special cases are a number of models that have been proposed as qualitative models for protein synthesis in eukaryotic cells. We establish global stability for these models and discuss the implications of our results.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1978-36-03/S0033-569X-1978-0508768-X/S0033-569X-1978-0508768-X.pdf

Reference35 articles.

1. D. G. Aronson and H. D. Thames, Stability and oscillation in biochemical systems with localized enzymes, J. Theor. Biol., to appear.

2. H. T. Banks and J. M. Mahaffy, Mathematical models for protein biosynthesis, LCDS Technical Report 77-2, Division of Applied Mathematics, Brown University, December, 1977

3. J. Caperon, Time lag in population growth response of Isochrysis Galbana to a variable nitrate environment, Ecology 50, 188–192 (1969)

4. A. Fraser and J. Tiwari, Genetical feedback repression: II. cyclic genetic systems, J. Theor. Biol. 47, 397–412 (1974)

Cited by 41 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Operon dynamics with state dependent transcription and/or translation delays;Journal of Mathematical Biology;2021-12-14

2. Delay-Induced Bifurcation in High-Order Fractional Goodwin Models with Disparate Orders;International Journal of Bifurcation and Chaos;2019-06-30

3. Local Hopf bifurcation analysis and global existence of periodic solutions in a gene expression model with delays;Nonlinear Dynamics;2016-06-20

4. Bifurcations for Goodwin model with three delays;Nonlinear Dynamics;2015-12-17

5. Hopf bifurcation in an $${{\mathbf {n}}}$$ n -dimensional Goodwin model via multiple delays feedback;Nonlinear Dynamics;2014-12-06