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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
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
{"title":"The stochasticity in adherence to nonpharmaceutical interventions and booster doses and the mitigation of COVID-19","authors":"Y. Tan, P. Yuan, I. Moyles, Jane Heffernan, James Watmough, Sanyi Tang, Huaiping Zhu","doi":"10.3934/dcdss.2023044","DOIUrl":"https://doi.org/10.3934/dcdss.2023044","url":null,"abstract":"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.","PeriodicalId":48838,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series S","volume":"20 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75114826","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
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
Discrete and Continuous Dynamical Systems-Series S Pub Date : 2023-01-01 DOI: 10.3934/dcdss.2023129
Shubin Yu, Chunlei Tang, Ziheng Zhang
{"title":"Normalized ground states for the lower critical fractional Choquard equation with a focusing local perturbation","authors":"Shubin Yu, Chunlei Tang, Ziheng Zhang","doi":"10.3934/dcdss.2023129","DOIUrl":"https://doi.org/10.3934/dcdss.2023129","url":null,"abstract":"","PeriodicalId":48838,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series S","volume":"1 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84785694","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
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
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
{"title":"Well-posedness results for nonlinear fractional diffusion equation with memory quantity","authors":"N. Tuan, A. Nguyen, A. Debbouche, V. Antonov","doi":"10.3934/dcdss.2023038","DOIUrl":"https://doi.org/10.3934/dcdss.2023038","url":null,"abstract":"","PeriodicalId":48838,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series S","volume":"9 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83022343","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
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
Discrete and Continuous Dynamical Systems-Series S Pub Date : 2023-01-01 DOI: 10.3934/dcdss.2023034
E. Azroul, M. Bouziani, H. Hjiaj
{"title":"Existence of entropy solutions for some quasilinear anisotropic elliptic unilateral problems with variable exponents","authors":"E. Azroul, M. Bouziani, H. Hjiaj","doi":"10.3934/dcdss.2023034","DOIUrl":"https://doi.org/10.3934/dcdss.2023034","url":null,"abstract":"","PeriodicalId":48838,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series S","volume":"5 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81148832","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
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
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
{"title":"On a non-local Kirchhoff type equation with random terminal observation","authors":"Phuong Nguyen Duc, T. N. Van, T. Anh","doi":"10.3934/dcdss.2023109","DOIUrl":"https://doi.org/10.3934/dcdss.2023109","url":null,"abstract":"","PeriodicalId":48838,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series S","volume":"60 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78885478","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
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
Discrete and Continuous Dynamical Systems-Series S Pub Date : 2023-01-01 DOI: 10.3934/dcdss.2023015
Xinyi Gu, Yulin Song
{"title":"Large and moderate deviation principles for path-distribution-dependent stochastic differential equations","authors":"Xinyi Gu, Yulin Song","doi":"10.3934/dcdss.2023015","DOIUrl":"https://doi.org/10.3934/dcdss.2023015","url":null,"abstract":"","PeriodicalId":48838,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series S","volume":"37 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83577763","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
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
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
{"title":"Forward dynamics and memory effect in a fractional order chemostat minimal model with non-monotonic growth","authors":"Huijian Zhu, Yuming Peng, Yiyang Li, Caibin Zeng","doi":"10.3934/dcdss.2023019","DOIUrl":"https://doi.org/10.3934/dcdss.2023019","url":null,"abstract":"","PeriodicalId":48838,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series S","volume":"11 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82334757","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: 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
Discrete and Continuous Dynamical Systems-Series S Pub Date : 2023-01-01 DOI: 10.3934/dcdss.2023017
A. J. Ntsokongo
{"title":"Asymptotic behavior of an Allen-Cahn type equation with temperature","authors":"A. J. Ntsokongo","doi":"10.3934/dcdss.2023017","DOIUrl":"https://doi.org/10.3934/dcdss.2023017","url":null,"abstract":"","PeriodicalId":48838,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series S","volume":"91 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79768980","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
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
Discrete and Continuous Dynamical Systems-Series S Pub Date : 2023-01-01 DOI: 10.3934/dcdss.2023128
Mingqi Xiang, Chaoqun Song
{"title":"Fractional weighted $ p $-Kirchhoff equations with general nonlinearity","authors":"Mingqi Xiang, Chaoqun Song","doi":"10.3934/dcdss.2023128","DOIUrl":"https://doi.org/10.3934/dcdss.2023128","url":null,"abstract":"","PeriodicalId":48838,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series S","volume":"35 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86764453","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
A lattice Boltzmann study of the thermodynamics of an interaction between two cavitation bubbles 两个空化泡相互作用热力学的晶格玻尔兹曼研究
IF 1.8 4区 数学
Discrete and Continuous Dynamical Systems-Series S Pub Date : 2023-01-01 DOI: 10.3934/dcdss.2023156
Xiaolong He, Xiang Song, Hao Peng, Hao Yuan
{"title":"A lattice Boltzmann study of the thermodynamics of an interaction between two cavitation bubbles","authors":"Xiaolong He, Xiang Song, Hao Peng, Hao Yuan","doi":"10.3934/dcdss.2023156","DOIUrl":"https://doi.org/10.3934/dcdss.2023156","url":null,"abstract":"","PeriodicalId":48838,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series S","volume":"37 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80907215","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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