F Avram, R Adenane, M Neagu - arXiv preprint arXiv:2406.03269, 2024 - arxiv.org
This essay reviews some key concepts in mathematical epidemiology and examines the intersection of this field with related scientific disciplines, such as chemical reaction network …
X Zhang, C Gao, D Dochain - IFAC-PapersOnLine, 2022 - Elsevier
For the networks that are linear conjugate to complex balanced systems, the delayed version may include two classes of networks: one class is still linear conjugate to the …
Delay mass-action systems provide a model of chemical kinetics when past states influence the current dynamics. In this work, we provide a graph-theoretic condition for delay stability …
H Komatsu, H Nakajima - 2020 59th IEEE Conference on …, 2020 - ieeexplore.ieee.org
In the present paper, our previous proposed method for analyzing the stability of a class of non-weakly reversible chemical reaction networks (CRNs) is generalized to be applied to …
Delay mass-action systems provide a model of chemical kinetics when past states influence the current dynamics. In this work, we provide a graph-theoretic condition for delay stability …
This research concentrates on extensions of the Laplace Transform (LT) method to obtain analytical solutions for linear first order delay differential equations (DDEs) of neutral and …
WH Lin - arXiv preprint arXiv:2210.09470, 2022 - arxiv.org
For a biological system to grow, the biomass must be incorporated, transferred, and accumulated into the underlying reaction network. There are two perspectives for studying …
Reaction networks, or interaction networks, encapsulate rules how entities, be it chemical species or organisms, may interact with one another. The dynamics of such interactions may …
A Abdulrahuman, K Chakrabarti, G Raina - arXiv preprint arXiv …, 2021 - arxiv.org
In this paper, we analyze the stability, convergence, and bifurcation properties of the Boissonade-De Kepper (BD) model which played a key role in the development of nonlinear …