Figure 3.

Plots of the numerical solutions to equations (2.3a–d) for parameter set s₁=0.85, s₂=0.6, s₃=0.7, s₄=0.88, ρ_i=2.5, ν=0.2, γ=0.16, μ_i=0.2, c₁=0.9, c₂=0.2, c₃=0.4 and c₄=0.35. Initial conditions are h_u=0.1, h_i=0.1, P₁=0.5 and P₂=0.5. The system is run for 5000 time-steps in (a) and for 50 000 time-steps in (b) and (c). The fixed point of coexistence is (0.074; 0.248; 0.414; 0.023) and is unstable. The blue line represents uninfected hosts; the red line infected hosts, green line P₁ and the cyan line P₂. Figure (a) and (b) shows the complex temporal dynamics of the populations over time associated with the chaotic attractor, while (c) is a phase plot of h_u, h_i and P₁ showing the chaotic attractor.