Stochastic Analysis for the Dual Virus Parallel Transmission Model with Immunity Delay.

IF 1.4 4区 生物学 Q4 BIOCHEMICAL RESEARCH METHODS Journal of Computational Biology Pub Date : 2024-10-18 DOI:10.1089/cmb.2024.0662
Jing Yang, Shaojuan Ma, Juan Ma, Jinhua Ran, Xinyu Bai
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Abstract

In this article, the qualitative properties of a stochastic dual virus parallel transmission model with immunity delay are analyzed. First, we use Lyapunov theory to study the existence and uniqueness of the global positive solution of the proposed model. Second, the threshold values of the persistence and extinction of two viruses were obtained. Finally, the numerical simulation verifies the theoretical results. The results show that the immunity delay and the intensity of noise have important effects on the two diseases spreading in parallel.

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带免疫延迟的双病毒平行传播模型的随机分析
本文分析了具有免疫延迟的随机双病毒并行传播模型的定性特性。首先,我们利用李雅普诺夫理论研究了所提模型全局正解的存在性和唯一性。其次,得到了两种病毒持续和消亡的临界值。最后,数值模拟验证了理论结果。结果表明,免疫延迟和噪声强度对两种疾病的并行传播有重要影响。
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来源期刊
Journal of Computational Biology
Journal of Computational Biology 生物-计算机:跨学科应用
CiteScore
3.60
自引率
5.90%
发文量
113
审稿时长
6-12 weeks
期刊介绍: Journal of Computational Biology is the leading peer-reviewed journal in computational biology and bioinformatics, publishing in-depth statistical, mathematical, and computational analysis of methods, as well as their practical impact. Available only online, this is an essential journal for scientists and students who want to keep abreast of developments in bioinformatics. Journal of Computational Biology coverage includes: -Genomics -Mathematical modeling and simulation -Distributed and parallel biological computing -Designing biological databases -Pattern matching and pattern detection -Linking disparate databases and data -New tools for computational biology -Relational and object-oriented database technology for bioinformatics -Biological expert system design and use -Reasoning by analogy, hypothesis formation, and testing by machine -Management of biological databases
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