Rate Of Change Of Population Density Fraction Of Susceptibles Mean ODE

Available identifiers

MaRDI QIDQ6775489

rate of change of the mean population density of susceptible individuals described by an ODE

Description

Ordinary Differential Equation describing the rate of change of the population density of susceptibles with a right-hand side contribution from the flux of the PDE solution 𝑠₁ across the interface Γ.

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Defining Formula: ${\dot{\overline{s}}}_2\approx -(1-\frac{A}{{\overline{n}}_2+n_0}){\overline{s}}_2({\beta }_e{\overline{e}}_2+{\beta }_i{\overline{i}}_2)-\frac{1}{\left|{\mathrm{\Omega }}_2\right|}\underset{\mathrm{\Gamma }}{\int }{\nu }_1^{T}D\mathrm{\nabla }{s}_{1}do$

$A$ symbol represents Allee Threshold

$D$ symbol represents Diffusion Coefficient for SEIR Model

${\overline{e}}_2$ symbol represents Fraction Of Population Density Of Exposed In The ODE Region (Mean)

${\overline{i}}_2$ symbol represents Fraction Of Population Density Of Infectious In The ODE Region (Mean)

${\overline{s}}_2$ symbol represents Fraction Of Population Density Of Susceptibles In The ODE Region (Mean)

${\beta }_e$ symbol represents Asymptomatic Infection Rate

${\beta }_i$ symbol represents Symptomatic Infection Rate

${\nu }_1^T$ symbol represents Unit Normal Vector

$n$ symbol represents Population Density

$s_1$ symbol represents Fraction Of Population Density Of Susceptibles In The PDE Region

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