Simulations of system (1) for Q = 100, μ = 0.04, π3 = 0.03, γ = 0.288, ρ = 0.2, σ = 0.04, δ = 0.8, α = 0.81. (a) is the solution of Ip versus time (days) and (b) is In versus time t, (c) is the projected In − Ip phase plane of the phase space and in (d) we use Q = 10 while all other parameters remain the same