Translation-invariant monotone systems, I: Autonomous/periodic case

✍ Scribed by Hongxiao Hu; Jifa Jiang

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 295 KB
• Volume: 11
• Category: Article
• ISSN: 1468-1218
• DOI: 10.1016/j.nonrwa.2009.11.015

✦ Synopsis

This paper studies autonomous/time-periodic translation-invariant monotone systems without stronger notion. It is proved that every solution is asymptotically periodic if the Poincaré mapping has at least one fixed point. The result gets rid of the ''strong'' assumption in [1]. Applications are made to chemical reaction networks, especially to enzymatic futile cycles.