👉 Infection math, also known as epidemiological modeling, is a mathematical framework used to understand and predict the spread of infectious diseases within populations. It typically involves differential equations that describe how the number of susceptible individuals (S), infected individuals (I), and recovered individuals (R) change over time. The core model, the SIR model, uses three key parameters: the infection rate (beta), which represents how easily the disease spreads from infected to susceptible individuals, and the recovery rate (gamma), which indicates how quickly infected individuals recover and move into the recovered group. The basic reproduction number, R0, is a critical threshold parameter; if R0 > 1, the disease can spread exponentially, while R0 < 1 indicates that the infection will likely die out. These equations help public health officials forecast outbreaks, evaluate intervention strategies, and allocate resources effectively to control the spread of infectious diseases.
