Table 3.

Summary of the basic dynamics of four models.

Values of ρ, α1, α2	The global attractor	Number of interior equilibria
		$R_0^{\theta }>1$	$\theta <R_0^{\theta }<1$
ρ = 0, α1 = 0, α2 = 1	See Theorem 5.1	1 if $\frac{d}{\beta }+\frac{\beta }{r}<\theta$ but ustable	1
0 < α1 = α2 = ρ ≤ 1	$[0,1]\times [0,\frac{1}{\rho }]$	0 or 2	1 or 3
0 < α1 = ρ ≤ 1, α2 = 1	[0, 1] × [0, 1] if ρ ≥ θ	0 or 2	1 or 3
0 < ρ < 1, α1 = α2 = 1	[0, 1] × [0, 1]	0 or 2	1 or 3