Mathematical Models for Epidemic Spread: From SIR to Network-Based Approaches
Sofia Petrova*, Igor Morozov * corresponding author
epidemic modeling
SIR model
network epidemiology
COVID-19
stability analysis
Book ISBN: 978-1-83568-089-6
Book DOI: 10.12345/amse.mmps.2022
Published: November 2022
Authors
2
Keywords
5
Book
Mathematical Modeling in Physical S...
Series
AMA
Abstract
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.
Keywords
epidemic modeling
SIR model
network epidemiology
COVID-19
stability analysis
Authors
SP
IM