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Large population limits of Markov processes on random networks
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Compact pairwise methods for susceptible–infected–susceptible epidemics on weighted heterogeneous networks
A rewiring mechanism to improve synchronization in Kuramoto networks
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Community detection in error-prone environments based on particle cooperation and competition with distance dynamics
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
Accounting for cross-immunity can improve forecast accuracy during influenza epidemics
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, Jailson B Correia, Hernande P da Silva, José Luiz de Lima Filho, Jones Albuquerque and Fernando A N Santos Journal of Statistical Mechanics: Theory and Experiment 2021(5) 053501 (2021) https://doi.org/10.1088/1742-5468/abed4e
Multi-agent system collision model to predict the transmission of seasonal influenza in Tokyo from 2014–2015 to 2018–2019 seasons
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
Matching Theory and Evidence on COVID-19 Using a Stochastic Network SIR Model
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
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
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
Edge-Based Compartmental Modelling of an SIR Epidemic on a Dual-Layer Static–Dynamic Multiplex Network with Tunable Clustering
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
Structural calculations and propagation modeling of growing networks based on continuous degree
Xinchu Fu, Lili Chang, Zhen Jin and Junbo Jia Mathematical Biosciences and Engineering 14(5/6) 1215 (2017) https://doi.org/10.3934/mbe.2017062
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
Heterogeneous network epidemics: real-time growth, variance and extinction of infection
Zhen Jin, Shuping Li, Xiaoguang Zhang, Juping Zhang and Xiao-Long Peng Understanding Complex Systems, Complex Systems and Networks 51 (2016) https://doi.org/10.1007/978-3-662-47824-0_3
Dynamical Systems on Networks
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
Systematic Approximations to Susceptible-Infectious-Susceptible Dynamics on Networks