Endemic infections are always possible on regular networks.
We study the dependence of the largest component in regular networks on the clustering coefficient, showing that its size changes smoothly without undergoing a phase transition. We explain this behavior via an analytical approach based on the network structure, and provide an exact equation describing the numerical results. Our work indicates that intrinsic structural properties always allow the spread of epidemics on regular networks.
Warwick Mathematics Institute, University of Warwick, Gibbet Hill Road, Coventry CV4 7AL, United Kingdom and Centre for Complexity Science, University of Warwick, Gibbet Hill Road, Coventry CV4 7AL, United Kingdom and Warwick Infectious Disease Epidemiology Research (WIDER) Centre, University of Warwick, Gibbet Hill Road, Coventry CV4 7AL, United Kingdom and Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, Dresden D-01187, Germany.
Charo I
CI
Del Genio
Thomas
T
House
D003141:Communicable Diseases / Q000453:epidemiology* / Q000635:transmission*; D019353:Endemic Diseases; D008962:Models, Theoretical