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Discrete and Continuous Dynamical Systems-Series S最新文献

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The stochasticity in adherence to nonpharmaceutical interventions and booster doses and the mitigation of COVID-19 非药物干预和加强剂量依从性与COVID-19缓解的随机性
IF 1.8 4区 数学 Q2 MATHEMATICS, APPLIED
Discrete and Continuous Dynamical Systems-Series S
Pub Date : 2023-01-01 DOI: 10.3934/dcdss.2023044
Y. Tan, P. Yuan, I. Moyles, Jane Heffernan, James Watmough, Sanyi Tang, Huaiping Zhu
Facing the more contagious COVID-19 variant, Omicron, nonpharmaceutical interventions (NPIs) were still in place and booster doses were proposed to mitigate the epidemic. However, the uncertainty and stochasticity in individuals' behaviours toward the NPIs and booster dose increase, and how this randomness affects the transmission remains poorly understood. We present a model framework to incorporate demographic stochasticity and two kinds of environmental stochasticity (notably variations in adherence to NPIs and booster dose acceptance) to analyze the effects of different forms of stochasticity on transmission. The model is calibrated using the data from December 31, 2021, to March 8, 2022, on daily reported cases and hospitalizations, cumulative cases, deaths and vaccinations for booster doses in Toronto, Canada. An approximate Bayesian computational (ABC) method is used for calibration. We observe that demographic stochasticity could dramatically worsen the outbreak with more incidence compared with the results of the corresponding deterministic model. We found that large variations in adherence to NPIs increase infections. The randomness in booster dose acceptance will not affect the number of reported cases significantly and it is acceptable in the mitigation of COVID-19. The stochasticity in adherence to NPIs needs more attention compared to booster dose hesitancy. © 2023 American Institute of Mathematical Sciences. All rights reserved.
面对更具传染性的COVID-19变体Omicron，非药物干预措施(npi)仍然存在，并提出加强剂量以减轻疫情。然而，个体对npi和加强剂行为的不确定性和随机性增加，以及这种随机性如何影响传播仍然知之甚少。我们提出了一个模型框架，将人口统计学随机性和两种环境随机性(特别是对npi的依从性和加强剂量接受度的变化)结合起来，分析不同形式的随机性对传播的影响。该模型使用2021年12月31日至2022年3月8日的数据进行校准，这些数据包括加拿大多伦多每日报告的病例和住院病例、累积病例、死亡病例和加强剂量疫苗接种。采用近似贝叶斯计算(ABC)方法进行标定。我们观察到，与相应的确定性模型的结果相比，人口统计学随机性可以显著恶化疫情，发生率更高。我们发现，npi依从性的巨大差异增加了感染。增强剂接受的随机性不会显著影响报告病例数，在缓解COVID-19方面是可以接受的。与增强剂剂量犹豫相比，npi依从性的随机性需要更多的关注。©2023美国数学科学研究所。版权所有。
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引用次数: 0
Normalized ground states for the lower critical fractional Choquard equation with a focusing local perturbation 具有聚焦局部扰动的低临界分数阶Choquard方程的归一化基态
IF 1.8 4区 数学 Q2 MATHEMATICS, APPLIED
Discrete and Continuous Dynamical Systems-Series S
Pub Date : 2023-01-01 DOI: 10.3934/dcdss.2023129
Shubin Yu, Chunlei Tang, Ziheng Zhang
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引用次数: 0
Well-posedness results for nonlinear fractional diffusion equation with memory quantity 具有记忆量的非线性分数扩散方程的适定性结果
IF 1.8 4区 数学 Q2 MATHEMATICS, APPLIED
Discrete and Continuous Dynamical Systems-Series S
Pub Date : 2023-01-01 DOI: 10.3934/dcdss.2023038
N. Tuan, A. Nguyen, A. Debbouche, V. Antonov
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引用次数: 0
Existence of entropy solutions for some quasilinear anisotropic elliptic unilateral problems with variable exponents 一类变指数拟线性各向异性椭圆单侧问题熵解的存在性
IF 1.8 4区 数学 Q2 MATHEMATICS, APPLIED
Discrete and Continuous Dynamical Systems-Series S
Pub Date : 2023-01-01 DOI: 10.3934/dcdss.2023034
E. Azroul, M. Bouziani, H. Hjiaj
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引用次数: 0
On a non-local Kirchhoff type equation with random terminal observation 具有随机终端观测值的非局部Kirchhoff型方程
IF 1.8 4区 数学 Q2 MATHEMATICS, APPLIED
Discrete and Continuous Dynamical Systems-Series S
Pub Date : 2023-01-01 DOI: 10.3934/dcdss.2023109
Phuong Nguyen Duc, T. N. Van, T. Anh
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引用次数: 0
Large and moderate deviation principles for path-distribution-dependent stochastic differential equations 路径分布相关随机微分方程的大、中偏差原理
IF 1.8 4区 数学 Q2 MATHEMATICS, APPLIED
Discrete and Continuous Dynamical Systems-Series S
Pub Date : 2023-01-01 DOI: 10.3934/dcdss.2023015
Xinyi Gu, Yulin Song
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引用次数: 0
Forward dynamics and memory effect in a fractional order chemostat minimal model with non-monotonic growth 非单调增长的分数阶恒化最小模型的正向动力学和记忆效应
IF 1.8 4区 数学 Q2 MATHEMATICS, APPLIED
Discrete and Continuous Dynamical Systems-Series S
Pub Date : 2023-01-01 DOI: 10.3934/dcdss.2023019
Huijian Zhu, Yuming Peng, Yiyang Li, Caibin Zeng
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引用次数: 1
Asymptotic behavior of an Allen-Cahn type equation with temperature 带温度的Allen-Cahn型方程的渐近性质
IF 1.8 4区 数学 Q2 MATHEMATICS, APPLIED
Discrete and Continuous Dynamical Systems-Series S
Pub Date : 2023-01-01 DOI: 10.3934/dcdss.2023017
A. J. Ntsokongo
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引用次数: 0
Fractional weighted $ p $-Kirchhoff equations with general nonlinearity 具有一般非线性的分数加权$ p $-Kirchhoff方程
IF 1.8 4区 数学 Q2 MATHEMATICS, APPLIED
Discrete and Continuous Dynamical Systems-Series S
Pub Date : 2023-01-01 DOI: 10.3934/dcdss.2023128
Mingqi Xiang, Chaoqun Song
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引用次数: 0
Instantaneous blow-up for evolution inequalities of Sobolev type with nonlinear convolution terms 具有非线性卷积项的Sobolev型演化不等式的瞬时爆破
IF 1.8 4区 数学 Q2 MATHEMATICS, APPLIED
Discrete and Continuous Dynamical Systems-Series S
Pub Date : 2023-01-01 DOI: 10.3934/dcdss.2023026
Ibtehal Alazman, M. Jleli
{"title":"Instantaneous blow-up for evolution inequalities of Sobolev type with nonlinear convolution terms","authors":"Ibtehal Alazman, M. Jleli","doi":"10.3934/dcdss.2023026","DOIUrl":"https://doi.org/10.3934/dcdss.2023026","url":null,"abstract":"","PeriodicalId":48838,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series S","volume":"79 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90424491","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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