Rate Of Change Of Population Density Fraction Of Infectious Mean ODE

Available identifiers

MaRDI QIDQ6775487

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

Description

Ordinary Differential Equation describing the rate of change of the population density of Infectious with a right-hand side contribution from the flux of the PDE solution 𝑖₁ across the interface Γ.

---

Defining Formula: ${\dot{\overline{i}}}_2\approx \sigma {\overline{e}}_2-{\varphi }_i{\overline{i}}_2-\frac{1}{\left|{\mathrm{\Omega }}_2\right|}\underset{\mathrm{\Gamma }}{\int }{\nu }_1^{T}D\mathrm{\nabla }{i}_{1}do$

$D$ 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)

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

${\varphi }_i$ symbol represents Infected Recovery Rate

$\sigma$ symbol represents Rate of Becoming Infectious

$i_1$ symbol represents Fraction Of Population Density Of Infectious In The PDE Region

---