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Theory and Modern Applications

Table 1 Number and stability of endemic equilibria

From: Bifurcations of an SIRS model with generalized non-monotone incidence rate

p

Condition

Number

Stability

p<1

d>0

1

globally stable

p = 1

d<A

1

globally stable

d ≥ A

0

 

p>1

\(d< d_{m}\)

2

a saddle and an anti-saddle

\(d=d_{m}\)

1

degenerate sigularity

\(d>d_{m}\)

0