Modeling the dynamical interaction between epidemics on overlay networks

Modeling the dynamical interaction between epidemics on overlay networks

Epidemics seldom occur as isolated phenomena. Typically, two or more viral agents spread within the same host population and may interact dynamically with each other. We present a general model where two viral agents interact via an immunity mechanism as they propagate simultaneously on two networks connecting the same set of nodes. By exploiting a correspondence between the propagation dynamic...

On the Interaction Between Overlay Routing and Traffic Engineering

In this paper, we study the interaction between overlay routing and Traffic Engineering (TE) in a single Autonomous System (AS). We formulate this interaction as a two-player non-cooperative non-zero sum game, where the overlay tries to minimize the delay of its traffic and the TE’s objective is to minimize network cost. We study a Nash routing game with best-reply dynamics, in which the overla...

Analyzing Cross-layer Interaction in Overlay Networks

Modeling Epidemics with Dynamic Small-World Networks

In this presentation a minimal model for describing the spreading of an infectious disease, such as influenza, is discussed. Here it is assumed that spreading takes place on a dynamic small-world network comprising shortand long-range infection events. Approximate equations for the epidemic threshold as well as the spreading dynamics are derived and they agree well with numerical discrete time-...

Modeling epidemics on adaptively evolving networks: A data-mining perspective.

The exploration of epidemic dynamics on dynamically evolving ("adaptive") networks poses nontrivial challenges to the modeler, such as the determination of a small number of informative statistics of the detailed network state (that is, a few "good observables") that usefully summarize the overall (macroscopic, systems-level) behavior. Obtaining reduced, small size accurate models in terms of t...