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Large population limits of Markov processes on random networks
Marvin Lücke, Jobst Heitzig, Péter Koltai, Nora Molkenthin and Stefanie Winkelmann Stochastic Processes and their Applications 166 104220 (2023) https://doi.org/10.1016/j.spa.2023.09.007
Exact solutions and bounds for network SIR and SEIR models using a rooted-tree approximation
A rewiring mechanism to improve synchronization in Kuramoto networks
Samira Hossein Ghorban, Bardyaa Hesaam and Hamid Sarbazi-Azad Journal of Statistical Mechanics: Theory and Experiment 2022(11) 113404 (2022) https://doi.org/10.1088/1742-5468/ac9fca
Generating function approach to the effective degree SIR model
Using discrete Ricci curvatures to infer COVID-19 epidemic network fragility and systemic risk
Danillo Barros de Souza, Jonatas T S da Cunha, Everlon Figueirôa dos Santos, et al. Journal of Statistical Mechanics: Theory and Experiment 2021(5) 053501 (2021) https://doi.org/10.1088/1742-5468/abed4e
Identifying and Ranking Influential Nodes in Complex Networks Based on Dynamic Node Strength
The Impact of Contact Structure and Mixing on Control Measures and Disease-Induced Herd Immunity in Epidemic Models: A Mean-Field Model Perspective
Francesco Di Lauro, Luc Berthouze, Matthew D. Dorey, Joel C. Miller and István Z. Kiss Bulletin of Mathematical Biology 83(11) (2021) https://doi.org/10.1007/s11538-021-00947-8
Multi-agent system collision model to predict the transmission of seasonal influenza in Tokyo from 2014–2015 to 2018–2019 seasons
COVID-19 Spread in Saudi Arabia: Modeling, Simulation and Analysis
Hend Alrasheed, Alhanoof Althnian, Heba Kurdi, Heila Al-Mgren and Sulaiman Alharbi International Journal of Environmental Research and Public Health 17(21) 7744 (2020) https://doi.org/10.3390/ijerph17217744
Trends in Biomathematics: Modeling Cells, Flows, Epidemics, and the Environment
Coura Balde, Mountaga Lam and Samuel Bowong Trends in Biomathematics: Modeling Cells, Flows, Epidemics, and the Environment 81 (2020) https://doi.org/10.1007/978-3-030-46306-9_6
Phase Transitions in Spatial Connectivity during Influenza Pandemics
Nathan Harding, Richard Spinney and Mikhail Prokopenko Entropy 22(2) 133 (2020) https://doi.org/10.3390/e22020133
Danillo Barros de Souza, Jonatas T. S. da Cunha, Everlon Figueirôa dos Santos, Jailson B. Correia, Hernande P. da Silva, José Luiz de Lima Filho, Jones Albuquerque and Fernando A. N. Santos (2020) https://doi.org/10.1101/2020.04.01.20047225
Matching Theory and Evidence on COVID-19 Using a Stochastic Network SIR Model
Pairwise approximation for
SIR
-type network epidemics with non-Markovian recovery
G. Röst, Z. Vizi and I. Z. Kiss Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 474(2210) 20170695 (2018) https://doi.org/10.1098/rspa.2017.0695
Influence spreading model used to analyse social networks and detect sub-communities
Development of structural correlations and synchronization from adaptive rewiring in networks of Kuramoto oscillators
Lia Papadopoulos, Jason Z. Kim, Jürgen Kurths and Danielle S. Bassett Chaos: An Interdisciplinary Journal of Nonlinear Science 27(7) (2017) https://doi.org/10.1063/1.4994819
Mathematics of Epidemics on Networks
István Z. Kiss, Joel C. Miller and Péter L. Simon Interdisciplinary Applied Mathematics, Mathematics of Epidemics on Networks 46 255 (2017) https://doi.org/10.1007/978-3-319-50806-1_7
Mathematical models of SIR disease spread with combined non-sexual and sexual transmission routes
Mason A. Porter and James P. Gleeson Frontiers in Applied Dynamical Systems: Reviews and Tutorials, Dynamical Systems on Networks 4 53 (2016) https://doi.org/10.1007/978-3-319-26641-1_7
Mason A. Porter and James P. Gleeson Frontiers in Applied Dynamical Systems: Reviews and Tutorials, Dynamical Systems on Networks 4 29 (2016) https://doi.org/10.1007/978-3-319-26641-1_4
EXACT ANALYTICAL EXPRESSIONS FOR THE FINAL EPIDEMIC SIZE OF AN SIR MODEL ON SMALL NETWORKS