๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

New criteria for the existence of a positive equilibrium in reaction networks

โœ Scribed by Sangmok Choo; Namyong Lee

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
233 KB
Volume
24
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

โœฆ Synopsis

Deriving the behavior of a network from its structure is of interest and has been studied. In this work, we find a new condition on the nodes of a network for obtaining some relation between the network structure and its ability to have a positive equilibrium. This condition replaces the concept of deficiency for use in such research. Moreover, it is easy to check this condition even for large networks.

๐Ÿ“œ SIMILAR VOLUMES

Explicit criteria for the existence of p
Explicit criteria for the existence of positive solutions for a scalar differential equation with variable delay in the critical case
โœ Josef Diblรญk; Zdenฤ›k Svoboda; Zdenฤ›k ล marda ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 266 KB

A scalar linear differential equation with time-dependent delay แบ‹ The goal of our investigation is to give sufficient conditions for the existence of positive solutions as t โ†’ โˆž in the critical case in terms of inequalities on a and ฯ„ . A generalization of one known final (in a certain sense) resul

A new generalization of the Yannelisโ€“Pra
A new generalization of the Yannelisโ€“Prabhakar equilibrium existence theorem for abstract economies
โœ Ji-Cheng Hou ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 223 KB

In this paper, we prove an intersection theorem for an infinite family of correspondences defined on non-compact spaces, and apply this result to give a new generalization of the Yannelis-Prabhakar existence theorem for equilibrium of abstract economies.

The existence of a biological equilibriu
The existence of a biological equilibrium in a trickling filter for waste gas purification
โœ R. M. M. Diks; S. P. P. Ottengraf; S. Vrijlnad ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 826 KB

## Abstract Clogging is wellโ€known phenomenon in the application of a biological tricking filter for both waste gas and wastewater treatment. Nevertheless, no such observations or even significant changes in pressure drop have ever been recorded during the longโ€term processing of a waste gas contai