期刊
SIAM JOURNAL ON APPLIED MATHEMATICS
卷 67, 期 6, 页码 1523-1547出版社
SIAM PUBLICATIONS
DOI: 10.1137/060673412
关键词
chemical reactions; P matrices; injectivity; stability; mass action
In this paper we examine matrices which arise naturally as Jacobians in chemical dynamics. We are particularly interested in when these Jacobians are P matrices ( up to a sign change), ensuring certain bounds on their eigenvalues, precluding certain behavior such as multiple equilibria, and sometimes implying stability. We first explore reaction systems and derive results which provide a deep connection between system structure and the P matrix property. We then examine a class of systems consisting of reactions coupled to an external rate-dependent negative feedback process and characterize conditions which ensure that the P matrix property survives the negative feedback. The techniques presented are applied to examples published in the mathematical and biological literature.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据