ERRATA TO 'MODELING AND OPTIMAL CONTROL OF HIV/AIDS PREVENTION THROUGH PREP', DISCRETE CONTIN. DYN. SYST. SER. S 11 (2018), NO. 1, 119-141

摘要

There are three changes that need to be done to [2]. 1. In Section 3.1 of [2], the basic reproduction number R0 needs to be corrected: where it is R_0 =β(ζ_2 (ζ_1 + ρηA) +ηcΦζ_1)/μ(ζ_2 (ρ +ζ_1) +Φζ_1 +ρd) + ρωd=N/D, it should be R_0 =βζ_4 N_0/ζ_5D_0=:N/D, whereζ_4 =θ+μ,ζ_5 =μ+Φ+θ, N_0 = (ζ_2(ηAρ+ζ_1) + ηCΦζ_1), and D_0 = μ(ζ_2(ρ +ζ_1) + Φζ_1 + ρd) +ρωd= ζ_1ζ_2ζ_3-ζ_1ωΦ-ζ_2αρ. 2. While Theorem 3.2 of [2] is correct, its proof not. Follows the corrected proof. Theorem 3.2. The disease free equilibrium 0 is globally asymptotically stable for R_0＜1.