R₀ NGM theorem: eigs=±√(a12·a21); R₀=√(a12·a21); R₀_SIR=βH0/(γμ_p); det K=−a12·a21

Layer 3 — Biologyin the parasitology subtree

Sympy-exact symbolic witness of the next-generation matrix R₀ canonical identities. Setup: a12, a21, β, H0, γ, μ_p — all positive symbols. NGM K = [[0, a_12], [a_21, 0]] (2×2 antidiagonal matrix for 2-class model). Eigenvalues of K:…

Related concepts

R₀ via next-generation matrix: R₀ = ρ(K) = spectral radius; 2×2 NGM = √(a12·a21)

Explore R₀ NGM theorem: eigs=±√(a12·a21); R₀=√(a12·a21); R₀_SIR=βH0/(γμ_p); det K=−a12·a21 on the interactive knowledge graph →