A SIQR model with a nonlinear incidence

Abstract

In this paper we have studied the dynamical behaviours of an SIQR epidemiological model which takes into account the psychological effect introduced by a nonlinear and non-monotone incidence. Positivity and boundedness of the system have been studied. Stability analysis of the equilibrium points is presented. We have carried out numerical simulations to validate the analytical findings. The biological implications of our analytical and numerical findings are discussed.

Analysis of an SIQR model

“…For mathematical works on SIR models, see 14 , and references there in. An SIR model can be modified by introducing a new class Q of quarantined individuals, who have been removed and isolated either voluntarily or coercive from the infectious class 10,12 .…”