Global Stability Analysis on the Dynamics of an SIQ Model with Nonlinear Incidence Rate

• An SIQ epidemic model with isolation and nonlinear incidence rate is studied. We have obtained a threshold value R and shown that there is only a disease free equilibrium point when R < 1, and there is also an endemic equilibrium point if R > 1. With the help of Liapunov function, we have shown that disease free- and endemic equilibrium point is globally stable.

Subject headings

NATURVETENSKAP  -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Probability Theory and Statistics (hsv//eng)

Keyword

SIQ model

Isolation

Nonlinear infectious rate

Threshold

Global stablity

Publication and Content Type

ref (subject category)

kon (subject category)