Rate Of Change Of Population Density Fraction Of Exposed Mean ODE

Available identifiers

MaRDI QIDQ6775486

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

Description

Ordinary Differential Equation describing the rate of change of the population density of exposed with a right-hand side contribution from the flux of the PDE solution 𝑒₁ across the interface Γ.

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

$A$ 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

${\varphi }_e$ symbol represents Asymptomatic Recovery Rate

$\sigma$ symbol represents Rate of Becoming Infectious

$e_1$ symbol represents Fraction Of Population Density Of Exposed In The PDE Region

$n$ symbol represents Population Density

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