“…Example 1. Consider model (2) with parameter values (some of the parameters are from [30,31]): Λ � 0.44, β � 0.01498, c � 0.427, ε � 0.1431, α � 0.5, μ � 0.016, σ � 0.05, σ 1 � 0.2, σ 2 � 0.6, and σ 3 � 0.3 and the initial point is (S(0), E(0), I(0)) � (12,9,5). And, we can compute that R 0 ≈ 0.7662 < 1, the conditions of eorem 2 are satisfied.…”