具有非单调关联函数的双应变SIR模型的随机扩展：随机阈值和疾病动力学分析

IF 4.6 2区物理与天体物理 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Results in Physics Pub Date : 2025-08-20 DOI:10.1016/j.rinp.2025.108396

Dounia Bentaleb, Saida Amine

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引用次数: 0

摘要

在本文中，我们考虑了具有两个非单调传播过程的两株SIR流行病模型，从确定性框架移动到随机微分框架，并将噪声纳入发生率函数中。在随机范围内，我们确定了两个随机临界阈值，它们决定了疾病的动态，使其在平均时间内走向灭绝或持续。我们利用随机Lyapunov函数建立了唯一正解的存在性，并用数值模拟证实了我们的理论发现，为随机影响下的复杂疾病动力学提供了全面的见解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Stochastic extension of a two-strain SIR model with non-monotone incidence functions: Analysis of stochastic thresholds and disease dynamics

In this manuscript, we consider a two-strain SIR epidemic model with two non-monotonic transmission processes, moving from a deterministic to a stochastic differential framework with noise incorporated into the incidence functions. Within the stochastic regime, we identify two stochastic critical thresholds that dictate the dynamics of the disease, steering it towards either extinction or persistence in mean over time. We establish the existence of a unique positive solution using stochastic Lyapunov functions and corroborate our theoretical findings with numerical simulations, providing a comprehensive insight into the complex disease dynamics under stochastic influences.

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来源期刊

Results in Physics MATERIALS SCIENCE, MULTIDISCIPLINARYPHYSIC-PHYSICS, MULTIDISCIPLINARY

CiteScore

8.70

自引率

9.40%

发文量

754

审稿时长

50 days

期刊介绍： Results in Physics is an open access journal offering authors the opportunity to publish in all fundamental and interdisciplinary areas of physics, materials science, and applied physics. Papers of a theoretical, computational, and experimental nature are all welcome. Results in Physics accepts papers that are scientifically sound, technically correct and provide valuable new knowledge to the physics community. Topics such as three-dimensional flow and magnetohydrodynamics are not within the scope of Results in Physics. Results in Physics welcomes three types of papers: 1. Full research papers 2. Microarticles: very short papers, no longer than two pages. They may consist of a single, but well-described piece of information, such as: - Data and/or a plot plus a description - Description of a new method or instrumentation - Negative results - Concept or design study 3. Letters to the Editor: Letters discussing a recent article published in Results in Physics are welcome. These are objective, constructive, or educational critiques of papers published in Results in Physics. Accepted letters will be sent to the author of the original paper for a response. Each letter and response is published together. Letters should be received within 8 weeks of the article''s publication. They should not exceed 750 words of text and 10 references.