Exact deterministic representation of Markovian $${ SIR}$$ S I R epidemics on networks with and without loops

Exact Equations for SIR Epidemics on Tree Graphs

(2013) K. J. Sharkey et al.   BULLETIN OF MATHEMATICAL BIOLOGY

Interdependency and hierarchy of exact and approximate epidemic models on networks

(2013) Timothy J. Taylor et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Deterministic epidemic models on contact networks: Correlations and unbiological terms

(2011) Kieran J. Sharkey   THEORETICAL POPULATION BIOLOGY

Effects of Heterogeneous and Clustered Contact Patterns on Infectious Disease Dynamics

(2011) Erik M. Volz et al.   PLoS Computational Biology

Exact epidemic models on graphs using graph-automorphism driven lumping

(2010) Péter L. Simon et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Insights from unifying modern approximations to infections on networks

(2010) T. House et al.   Journal of the Royal Society Interface

Message passing approach for general epidemic models

(2010) Brian Karrer et al.   PHYSICAL REVIEW E

Large-scale properties of clustered networks: implications for disease dynamics

(2010) Darren M. Green et al.   Journal of Biological Dynamics

Analysis of a stochastic SIR epidemic on a random network incorporating household structure

(2009) Frank Ball et al.   MATHEMATICAL BIOSCIENCES

Percolation and epidemics in random clustered networks

(2009) Joel C. Miller   PHYSICAL REVIEW E

Bond percolation on a class of clustered random networks

(2009) James P. Gleeson   PHYSICAL REVIEW E

Random Graphs with Clustering

(2009) M. E. J. Newman   PHYSICAL REVIEW LETTERS

Deterministic epidemiological models at the individual level

(2008) Kieran J. Sharkey   JOURNAL OF MATHEMATICAL BIOLOGY

Comment on “Properties of highly clustered networks”

(2008) Istvan Z. Kiss et al.   PHYSICAL REVIEW E