Mathematics of epidemics on networks
Over the past decade, the use of networks has led to a new modelling paradigm combining
several branches of science, including physics, mathematics, biology and social sciences …
several branches of science, including physics, mathematics, biology and social sciences …
Pairwise approximation for SIR-type network epidemics with non-Markovian recovery
We present the generalized mean-field and pairwise models for non-Markovian epidemics
on networks with arbitrary recovery time distributions. First we consider a hyperbolic partial …
on networks with arbitrary recovery time distributions. First we consider a hyperbolic partial …
Systematic approximations to susceptible-infectious-susceptible dynamics on networks
MJ Keeling, T House, AJ Cooper… - PLoS computational …, 2016 - journals.plos.org
Network-based infectious disease models have been highly effective in elucidating the role
of contact structure in the spread of infection. As such, pair-and neighbourhood-based …
of contact structure in the spread of infection. As such, pair-and neighbourhood-based …
Compact pairwise methods for susceptible–infected–susceptible epidemics on weighted heterogeneous networks
Q Wu, KMA Kabir - Physica A: Statistical Mechanics and its Applications, 2023 - Elsevier
We analyze the spreading of susceptible–infected–susceptible epidemics on random
networks with general weight and degree distributions. We generalize the compact pairwise …
networks with general weight and degree distributions. We generalize the compact pairwise …
Analytical solution of susceptible-infected-recovered models on homogeneous networks
The ability to actually implement epidemic models is a crucial stake for public institutions, as
they may be overtaken by the increasing complexity of current models and sometimes tend …
they may be overtaken by the increasing complexity of current models and sometimes tend …
Epidemic threshold in pairwise models for clustered networks: closures and fast correlations
The epidemic threshold is probably the most studied quantity in the modelling of epidemics
on networks. For a large class of networks and dynamics, it is well studied and understood …
on networks. For a large class of networks and dynamics, it is well studied and understood …
Heterogeneous pair-approximation analysis for susceptible–infectious–susceptible epidemics on networks
Q Wu, S Chen - Chaos: An Interdisciplinary Journal of Nonlinear …, 2023 - pubs.aip.org
The pair heterogeneous mean-field (PHMF) model has been used extensively in previous
studies to investigate the dynamics of susceptible–infectious–susceptible epidemics on …
studies to investigate the dynamics of susceptible–infectious–susceptible epidemics on …
An SIR pairwise epidemic model with infection age and demography
The demography and infection age play an important role in the spread of slowly
progressive diseases. To investigate their effects on the disease spreading, we propose a …
progressive diseases. To investigate their effects on the disease spreading, we propose a …
Preserving Bifurcations through Moment Closures
C Kuehn, J Mölter - SIAM Journal on Applied Dynamical Systems, 2024 - SIAM
Moment systems arise in a wide range of contexts and applications, eg, in network modeling
of complex systems. Since moment systems consist of a high or even infinite number of …
of complex systems. Since moment systems consist of a high or even infinite number of …
Epidemic models on homogeneous networks: some analytical results
The ability to actually implement epidemic models is a crucial stake for public institutions, as
they may be overtaken by the increasing complexity of current models and sometimes tend …
they may be overtaken by the increasing complexity of current models and sometimes tend …