Global dynamics of a virus-immune system with virus-guided therapy and saturation growth of virus
type: Item
instance of: scholarly article
title: Global dynamics of a virus-immune system with virus-guided therapy and saturation growth of virus
zbMATH Open document ID: 1427.92063
DOI: 10.1155/2018/4710586
author: Qian Li
author: Yanni Xiao
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: We considered a piecewise virus-immune dynamic model to investigate the effectiveness of the HIV virus loads-guided structured treatment interruptions (STIs). To better describe the biological reality, we extended the existing models by taking the carrying capacity of the virus loads into consideration to indicate the saturated growth of virus loads. We initially investigated the sliding dynamics of the proposed model and then obtained the global dynamics of the proposed model. Our main results showed that the system can exhibit very complex and diverse dynamic behaviors including a globally asymptotically stable equilibrium, bistable equilibra, and tristable equilibria, depending on the dynamics of the subsystems and the threshold level. In particular, an interesting result indicated that, with a proper threshold condition, the virus-guided therapy policy can successfully control the virus loads far below its carrying capacity and maintain the activity of the immune system for the case that the effector cells always go to zero without therapy or with continuous therapy. The finding suggested that the optimal strategy should be individual-based due to coexistence of multiple stable steady states, depending on the threshold conditions and the initial levels of viral loads and effector cells of the patients.
Mathematics Subject Classification ID: 92C60
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34D15
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 7019015
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/4710586
OpenAlex ID: W2814899324
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description: scientific article; zbMATH DE number 7019015