. 2010 Nov 8;7:41. doi: 10.1186/1742-4682-7-41

Table 2.

For different values of γ, we present the threshold (β₀) and lower bound ( $β_{c}^{q}$ , for q = 0 and 1) of the transmission coefficients (all in years^-1).

		p = 0.80				p = 0.01
γ	β₀	$β_{c}^{0}$	$β_{c}^{1}$	$β_{0} - β_{c}^{0}$	$β_{0} - β_{c}^{1}$	$β_{c}^{0}$	$β_{c}^{1}$	$β_{0} - β_{c}^{0}$	$β_{0} - β_{c}^{1}$
0.01	5.2676	--	4.7343	--	0.5333	--	--	--	--
0.001	34.442	5.1107	4.9438	29.3313	29.4982	--	--	--	--
0.0001	326.19	4.9763	4.9594	321.2137	321.2306	208.07	208.82	118.12	119.37
0.00001	3243.6	4.9626	4.9609	3238.6374	3238.6391	208.24	208.11	3035.4	3035.5

In the last two columns we present the range over which backward bifurcation occurs ( $β_{0} - β_{c}^{q}$ ). For γ = 0.001 years^-1, we have no backward bifurcation for q = 0 ( $β_{c}^{0}$ does not exist). We considered p = 0.8 and p = 0.01, and the values of other parameters are those given in Table 1.