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CS8803-NS Network Science Fall 2013

CS8803-NS Network Science Fall 2013. Instructor: Constantine Dovrolis constantine@gatech.edu http://www.cc.gatech.edu/~dovrolis/Courses/NetSci/. Disclaimers.

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CS8803-NS Network Science Fall 2013

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  1. CS8803-NSNetwork ScienceFall 2013 Instructor: Constantine Dovrolis constantine@gatech.edu http://www.cc.gatech.edu/~dovrolis/Courses/NetSci/

  2. Disclaimers The following slides include only the figures or videos that we use in class; they do not include detailed explanations, derivations or descriptionscovered in class. Many of the following figures are copied from open sources at the Web. I do not claim any intellectual property for the following material.

  3. Outline • Basics about the Modeling of Epidemics • SI, SIS and SIR models • Reproductive number and Epidemic threshold • Epidemics in homogeneous networks • Epidemics in uncorrelated heterogeneous networks • Epidemics in correlated heterogeneous networks

  4. Outline (cont’) • Similarities between epidemics and percolation (see lecture #8) • Immunization strategies • Uniform • Targeted • Immunization without knowing the global topology • Identification of “influential spreaders” • Computational epidemic modeling

  5. Few words about terminology • Epidemics, Contagion, Influence, Spreading, Information Diffusion, Rumors, etc • What do all these terms mean in the NetSci context? • How do they differ? • Lecture #9 vs Lecture #10

  6. Note • Today’s class will be mostly math derivations. • The derivations are included, for the most part, in the papers of the reading list. I do not include formulas and derivations in the following slides.

  7. Outline (cont’) • Similarities between epidemics and percolation (see lecture #8) • Immunization strategies • Uniform • Targeted • Immunization without knowing the global topology • Identification of “influential spreaders” • Computational epidemic modeling

  8. Outline (cont’) • Similarities between epidemics and percolation (see lecture #8) • Immunization strategies • Uniform • Targeted • Immunization without knowing the global topology • Identification of “influential spreaders” • Computational epidemic modeling

  9. Outline (cont’) • Similarities between epidemics and percolation (see lecture #8) • Immunization strategies • Uniform • Targeted • Immunization without knowing the global topology • Identification of “influential spreaders” • Computational epidemic modeling

  10. An epidemic model of Smallpox

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