The physics of spreading processes in multilayer networks

M De Domenico, C Granell, MA Porter, A Arenas - Nature Physics, 2016 - nature.com
Despite the success of traditional network analysis, standard networks provide a limited
representation of complex systems, which often include different types of relationships (or …

Modern perspectives on near-equilibrium analysis of Turing systems

AL Krause, EA Gaffney… - … Transactions of the …, 2021 - royalsocietypublishing.org
In the nearly seven decades since the publication of Alan Turing's work on morphogenesis,
enormous progress has been made in understanding both the mathematical and biological …

[ΒΙΒΛΙΟ][B] Multilayer networks: structure and function

G Bianconi - 2018 - books.google.com
Multilayer networks is a rising topic in Network Science which characterizes the structure
and the function of complex systems formed by several interacting networks. Multilayer …

Dynamical systems on networks

MA Porter, JP Gleeson - Frontiers in Applied Dynamical Systems: Reviews …, 2016 - Springer
Traditionally, much of the study of networks has focused on structural features. Indeed,
mathematical subjects such as graph theory have a rich history of investigating network …

Turing patterns in simplicial complexes

S Gao, L Chang, M Perc, Z Wang - Physical Review E, 2023 - APS
The spontaneous emergence of patterns in nature, such as stripes and spots, can be
mathematically explained by reaction-diffusion systems. These patterns are often referred as …

Dynamical systems on hypergraphs

T Carletti, D Fanelli, S Nicoletti - Journal of Physics: Complexity, 2020 - iopscience.iop.org
Networks are a widely used and efficient paradigm to model real-world systems where basic
units interact pairwise. Many body interactions are often at play, and cannot be modelled by …

Towards real-world complexity: an introduction to multiplex networks

KM Lee, B Min, KI Goh - The European Physical Journal B, 2015 - Springer
Many real-world complex systems are best modeled by multiplex networks of interacting
network layers. The multiplex network study is one of the newest and hottest themes in the …

Dynamics of diseases spreading on networks in the forms of reaction-diffusion systems

GQ Sun, R He, LF Hou, S Gao, X Luo, Q Liu… - Europhysics …, 2024 - iopscience.iop.org
In the face of persistent threats posed by infectious diseases, despite remarkable medical
advancements, understanding and efficiently controlling their spatial spread through …

Pattern formation in multiplex networks

NE Kouvaris, S Hata, AD Guilera - Scientific reports, 2015 - nature.com
The advances in understanding complex networks have generated increasing interest in
dynamical processes occurring on them. Pattern formation in activator-inhibitor systems has …

Cross-diffusion-induced patterns in an SIR epidemic model on complex networks

L Chang, M Duan, G Sun, Z ** - Chaos: An Interdisciplinary Journal of …, 2020 - pubs.aip.org
Infectious diseases are a major threat to global health. Spatial patterns revealed by
epidemic models governed by reaction–diffusion systems can serve as a potential trend …