Susceptible Infectious Epidemic Spreading ODE System

Available identifiers

MaRDI QIDQ6674563

equations describing the spreading in a susceptible infectious epidemic model on a network with time-dependent spreading rate

Defining Formula: $\begin{array}{cc}\frac{d{s}_m(t)}{dt}& =-s_m(t)\alpha (t)\sum _{n=1}^{N_R}{G}_{m,n}{i}_n(t)\\ i_m(t)& =P_m-s_m(t)\end{array}$

$G_{m,n}$ symbol represents Contact Network

$N_R$ symbol represents Number of Regions

$P_m$ symbol represents Number of Cities

$\alpha (t)$ symbol represents Spreading Rate (Time-dependent)

$\frac{d{s}_m(t)}{dt}$ symbol represents Rate of Change of Susceptible Cities

$i$ symbol represents Number of Infected Cities

$m$ symbol represents Region

$n$ symbol represents Region

$s_m(t)$ symbol represents Number of Susceptible Cities

$t$ symbol represents Time

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