Epidemiological Modelling

Build deterministic models of infectious-disease transmission from the simplest compartment systems to structured populations and healthcare demand. Begin with SI, SIS, SIR and SEIR models, then develop reproduction numbers, endemic equilibria, vaccination, interventions, mixing structure and extensions for hospitals, vectors and multiple strains.

01SI model 02SIS model 03SIR model 04SEIR model 05SIRS and SEIRS models 06Basic reproduction number R₀ 07Endemic equilibria 08Vaccination 09Herd immunity 10Intervention models 11Age structure 12Contact matrices 13Heterogeneous mixing 14Hospital and critical-care models 15Vector-borne diseases 16Multi-strain models