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In the displayed SIR equations, $\beta$ represents the transmission rate per pair of people, one infected and one susceptible, which governs the flow of new infections. $\gamma$ represents the removal or recovery rate, which governs the flow of infected individuals leaving the infected compartment to join the recovered or removed compartment.

Conditions: $\beta$ is the transmission rate per pair.; $\gamma$ is the removal/recovery rate.; The displayed model treats the population as divided into S, I, and R compartments.

In the displayed SIR equations, $\beta$ represents the transmission rate per pair of people, one infected and one susceptible, which governs the flow of new infections. $\gamma$ represents the removal or recovery rate, which governs the flow of infected individuals leaving the infected compartment to join the recovered or removed compartment.

Conditions: $\beta$ is the transmission rate per pair.; $\gamma$ is the removal/recovery rate.; The displayed model treats the population as divided into S, I, and R compartments.

The basic SIR model is written as a system of ordinary differential equations describing transfers between compartments: susceptibles decrease by infection, infecteds gain infections and lose cases by recovery or removal, and recovereds increase by removal from the infected class. The equations are $\frac{dS}{dt}=-\beta SI$, $\frac{dI}{dt}=\beta SI-\gamma I$, and $\frac{dR}{dt}=\gamma I$.

Conditions: The population is modeled as well mixed.; The dynamics are represented by global rate equations rather than spatially resolved equations.

The basic SIR model is written as a system of ordinary differential equations describing transfers between compartments: susceptibles decrease by infection, infecteds gain infections and lose cases by recovery or removal, and recovereds increase by removal from the infected class. The equations are $\frac{dS}{dt}=-\beta SI$, $\frac{dI}{dt}=\beta SI-\gamma I$, and $\frac{dR}{dt}=\gamma I$.

Conditions: The population is modeled as well mixed.; The dynamics are represented by global rate equations rather than spatially resolved equations.

The SIR model assumes a well-mixed population to allow transmission and removal to be summarized by global rate equations rather than spatially resolved descriptions. This assumption omits detailed information about contact networks, physical locations, and heterogeneous interactions, treating the population as if everybody effectively sees everybody else.

Conditions: The model is the displayed Kermack-McKendrick SIR system.; The dynamics are represented by global rate equations rather than spatially resolved equations.

The SIR model assumes a well-mixed population to allow transmission and removal to be summarized by global rate equations rather than spatially resolved descriptions. This assumption omits detailed information about contact networks, physical locations, and heterogeneous interactions, treating the population as if everybody effectively sees everybody else.

Conditions: The model is the displayed Kermack-McKendrick SIR system.; The dynamics are represented by global rate equations rather than spatially resolved equations.