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SirModel

oxiphysics_core::network_dynamics

Struct SirModel 

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pub struct SirModel {
    pub beta: f64,
    pub gamma: f64,
    pub n: f64,
}
Expand description

SIR epidemic model (ODE version for homogeneous mixing).

Compartments: S (susceptible), I (infectious), R (recovered). dS/dt = -β S I / N dI/dt = β S I / N - γ I dR/dt = γ I

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§beta: f64

Transmission rate β.

§gamma: f64

Recovery rate γ.

§n: f64

Population size N.

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impl SirModel

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

Creates a new SIR model.

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pub fn r0(&self) -> f64

Basic reproduction number R₀ = β/γ.

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pub fn herd_immunity_threshold(&self) -> f64

Herd immunity threshold: fraction that needs immunity = 1 - 1/R₀.

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pub fn integrate( &self, s0: f64, i0: f64, r0_val: f64, dt: f64, steps: usize, ) -> Vec<SirState>

Integrates the ODE for steps using Euler method with step dt.

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pub fn simulate_on_graph( &self, graph: &NetworkGraph, initially_infected: &[usize], dt: f64, steps: usize, seed: u64, ) -> (Vec<usize>, Vec<usize>, Vec<usize>)

Network SIR: discrete-time stochastic simulation on a graph.

Returns (s_counts, i_counts, r_counts) over time.

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