Modeling Cell-to-Cell Spread of HIV-1 with Nonlocal Infections. (1st August 2018)

• Record Type: Journal Article
• Authors: Fan, Xiaoting; Song, Yi; Zhao, Wencai
• Other Names: Volchenkov Dimitri Academic Editor.
• Is Part Of: Complexity. Volume 2018(2018)
• Publication Date: 2018-08-01
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2018/2139290
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : This paper is devoted to develop a nonlocal and time-delayed reaction-diffusion model for HIV infection within host cell-to-cell viral transmissions. In a bounded spatial domain, we study threshold dynamics in terms of basic reproduction number R 0 for the heterogeneous model. Our results show that if R 0 < 1, the infection-free steady state is globally attractive, implying infection becomes extinct, while if R 0 > 1, virus will persist in the host environment.