The extreme eigenvalues of connectivity matrices govern the influence of the network
structure on a number of network dynamical processes. A fundamental open question is …

We present a model of disease transmission on a regular and small world network and
compare different control options. Comparison is based on a total cost of epidemic, including …

Effects of heterogeneity in the suspected-infected-susceptible model on networks are
investigated using quenched mean-field theory. The emergence of localization is described …

The spectral properties of disordered fully connected graphs with a special type of node-
node interactions are investigated. The approximate analytical expression for the ensemble …

In this thesis, we investigate a stochastic model describing the spread of an epidemic among
a population of n individuals. A significant strand of the research considers the development …