Epidemic spreading threshold λ_c with respect to contact radius r_c in the case σ = 0, σ = π/6, and σ = π/3. The parameters of the model are N = 200, L = 20, v = 0.05, ρ = 0.5, r_s = 1.25, and p_jump = 0. The results are averaged over 10 runs.