Modeling Cell-to-Cell Spread of HIV-1 with Nonlocal Infections

Xiaoting Fan, Yi Song and Wencai Zhao

Complexity, 2018, vol. 2018, 1-10

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 for the heterogeneous model. Our results show that if , the infection-free steady state is globally attractive, implying infection becomes extinct, while if , virus will persist in the host environment.

Date: 2018
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:2139290

DOI: 10.1155/2018/2139290

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