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Mathematical Models for Epidemic Spread: From SIR to Network-Based Approaches
Sofia Petrova, Igor Morozov
In: Mathematical Modeling in Physical Sciences
We develop and analyze mathematical models for the spread of infectious diseases. Starting from classical compartmental models (SIR, SEIR), we extend to network-based epidemic models that incorporate heterogeneous contact patterns. Stability analysis, threshold theorems, and parameter estimation from COVID-19 data are presented.