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Theory and Modern Applications

Table 4 Number of possible positive real roots when \(R_{0}< 1\) and \(R_{0}> 1\)

From: Modeling and analysis of taeniasis and cysticercosis transmission dynamics in humans, pigs and cattle

Cases

\(a_{0}\)

\(a_{1}\)

\(a_{2}\)

\(a_{3}\)

\(R_{0}\)

No. of Sign Change

No. of + ve Real Roots

1

+

+

+

+

\(R_{0}< 1\)

0

0

2

+

+

+

\(R_{0}> 1\)

1

1

3

+

+

+

\(R_{0}< 1\)

2

0,2

4

+

+

\(R_{0}> 1\)

1

1