(t)Iq+αI+αIq,Sq′=q1(t)SEq′=q2(t)E−νEqIq′=q3I+νEq−γ(t)Iq−αIqwhere the prime (′) denotes the differentiation with respect to time t. Here, parameters 0 <  β, ν, γ(t), α  < 1 and the quarantined rates 0 ≤  q 1(t), q 2(t), q 3  ≤ 1. All the initial values of different individual groups