Ziwang Deng

🧪 The SEIR Compartmental Epidemic Model: Structure, Dynamics, and Extensions

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The Susceptible–Exposed–Infectious–Removed (SEIR) model is a classical and widely used framework in mathematical epidemiology. It extends the foundational SIR model by incorporating a latent (incubation) period during which individuals are infected but not yet infectious. This makes it more biologically realistic for diseases like measles, COVID-19, and influenza. The model has been extensively analyzed in … Read more

🦠 The Susceptible–Infectious–Removed (SIR) Model

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The Susceptible–Infectious–Removed (SIR) model is the foundational framework in mathematical epidemiology. Originally proposed by W. O. Kermack and A. G. McKendrick in 1927, this model provides a deterministic mechanism to analyze how infectious diseases evolve within a population over time. 1. Core Compartmental Structure The model partitions the total population (N) into three mutually exclusive … Read more