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SeirdModel

Struct SeirdModel 

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pub struct SeirdModel {
    pub beta: f64,
    pub sigma: f64,
    pub gamma: f64,
    pub mu: f64,
    pub n: f64,
}
Expand description

Extended SEIRD epidemic model: Susceptible, Exposed, Infected, Recovered, Deceased.

dS/dt = -β S I / N dE/dt = β S I / N - σ E dI/dt = σ E - γ I - μ I dR/dt = γ I dD/dt = μ I

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§beta: f64

Transmission rate β.

§sigma: f64

Incubation rate σ (1/latent period).

§gamma: f64

Recovery rate γ.

§mu: f64

Disease-induced mortality rate μ.

§n: f64

Population size N.

Implementations§

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impl SeirdModel

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pub fn new(beta: f64, sigma: f64, gamma: f64, mu: f64, n: f64) -> Self

Creates a new SEIRD model.

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pub fn r0(&self) -> f64

Basic reproduction number R₀ = β / (γ + μ).

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pub fn case_fatality_ratio(&self) -> f64

Case fatality ratio: μ / (γ + μ).

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pub fn integrate( &self, s0: f64, e0: f64, i0: f64, r0: f64, d0: f64, dt: f64, steps: usize, ) -> Vec<SeirdState>

Integrates ODE for steps using Euler with step dt.

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