The effect of vaccines on backward bifurcation in a fractional order HIV model

• Published in: Nonlinear analysis: real world applications Vol. 26; pp. 289 - 305
• Main Authors: Huo, Jingjing, Zhao, Hongyong, Zhu, Linhe
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.12.2015
• Subjects: Asymptotic properties; Backward bifurcation; Basic reproduction number; Bifurcations; Dosage; Fractional order; Global stability; HIV; Reproduction; Thresholds; Unity; Vaccines; Basic reproduction number; Fractional order; Vaccines; Global stability; Backward bifurcation

In this paper, a homogeneous-mixing population fractional model for human immunodeficiency virus (HIV) transmission, which incorporates anti-HIV preventive vaccines, is proposed. The dynamics of the model indicate that the basic reproduction number being the unity is a strict threshold for disease e...