Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 1 Number of possible positive real roots of equation (16). \(c_{4}=\) basic reproduction number \(R_{0}\), \(c_{5}=\) sign change number, \(c_{6}=\) possible number of positive real roots

From: Mathematical model of SIR epidemic system (COVID-19) with fractional derivative: stability and numerical analysis

Case	\(c_{3}\)	\(c_{2}\)	\(c_{1}\)	\(c_{0}\)	\(c_{4} \)	\(c_{5} \)	\(c_{6}\)
1	−	+	+	+	\(R_{0}>1\)	1	1
2	−	+	+	−	\(R_{0}<1\)	2	0, 2
3	−	+	−	+	\(R_{0}>1\)	3	1, 3
4	−	+	−	−	\(R_{0}<1\)	2	0, 2
5	−	−	+	+	\(R_{0}>1\)	1	1
6	−	−	+	−	\(R_{0}<1\)	2	0, 2
7	−	−	−	+	\(R_{0}>1\)	1	1
8	−	−	−	−	\(R_{0}<1 \)	0	0

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