Assignment

Network Dynamics: SIS

Implement the SIS model and explore its behavior.

Required

  1. Simulate SIS on a graph with 20 nodes.
  2. Use at least two different network types (random, Watts-Strogatz, or Barabasi-Albert).
  3. Plot the time evolution of S and I.
  4. Try two sets of \((\beta, \gamma)\) and compare outcomes.

Extra Mile (Optional)

  • Extend to SIR or SIRS.
  • Add a stop condition when infections die out.
  • Visualize the network at different time steps.

Good luck and enjoy your coding!

Simulate the Daley-Kendall model on a real graph.

Required

  1. Load the Facebook network and run the simulation.
  2. Use \(\beta=0.2\) and \(\gamma=0.1\) as a starting point.
  3. Plot the time evolution of I, S, R.
  4. Report how long it takes for the rumor to die out.

Extra Mile (Optional)

  • Add key press controls and sliders.
  • Compare outcomes for two different initial spreaders.
  • Remove a high-centrality node and analyze the effect.

Good luck and enjoy your coding!