تقرير
Interplay between Contractivity and Monotonicity for Reaction Networks
| العنوان: | Interplay between Contractivity and Monotonicity for Reaction Networks |
|---|---|
| المؤلفون: | Duvall, Alon, Al-Radhawi, M. Ali, Jatkar, Dhruv D., Sontag, Eduardo |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics Quantitative Biology |
| مصطلحات موضوعية: | Mathematics - Dynamical Systems, Quantitative Biology - Molecular Networks |
| الوصف: | This work studies relationships between monotonicity and contractivity, and applies the results to establish that many reaction networks are weakly contractive, and thus, under appropriate compactness conditions, globally convergent to equilibria. Verification of these properties is achieved through a novel algorithm that can be used to generate cones for monotone systems. The results given here allow a unified proof of global convergence for several classes of networks that had been previously studied in the literature. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2404.18734 |
| رقم الأكسشن: | edsarx.2404.18734 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |