Assessing the Impact of Vaccination on Controlling the Spread of Human Scabies

Table 1

Number of possible positive roots of ℎ(𝜆^∗)=0 for ℛ_𝑃𝑇>1 and ℛ_𝑃𝑇<1.

Cases	𝐴	𝐵	𝐶	𝐷	ℛ𝑃𝑇	Number of sign changes	Number of possible; real roots (endemic equilibrium)
1	+	+	+	+	ℛ𝑃𝑇<1	0	0
	+	+	+	−	ℛ𝑃𝑇>1	1	1
2	+	−	+	+	ℛ𝑃𝑇<1	2	0,2
	+	−	+	−	ℛ𝑃𝑇>1	3	1,3
3	+	−	−	+	ℛ𝑃𝑇<1	2	0,2
	+	−	−	−	ℛ𝑃𝑇>1	1	1
4	+	+	−	+	ℛ𝑃𝑇<1	2	0,2
	+	+	−	−	ℛ𝑃𝑇>1	1	1