Modeling cell-to-cell spread of HIV-1 with nonlocal infections
type: Item
instance of: scholarly article
title: Modeling cell-to-cell spread of HIV-1 with nonlocal infections
zbMATH Open document ID: 1405.92250
DOI: 10.1155/2018/2139290
author: Xiaoting Fan
author: Yi Song
author: Wencai Zhao
published in: Complexity
publication date: 2018-12-18T00:00:00Z
review text: Summary: 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 \(\mathcal R_0\) for the heterogeneous model. Our results show that if \(\mathcal R_0<1\), the infection-free steady state is globally attractive, implying infection becomes extinct, while if \(\mathcal R_0>1\), virus will persist in the host environment.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 92C60
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35Q92
zbMATH DE Number: 6995057
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/2139290
OpenAlex ID: W2885315384
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Wikidata QID: Q129430377
description: scientific article; zbMATH DE number 6995057