The emergence of multi-disease epidemics presents an escalating threat to global health. In response to this serious challenge, we present an innovative stochastic susceptible-vaccinated-infected-recovered epidemic model that addresses the dynamics of two diseases alongside intricate vaccination strategies. Our novel model undergoes a comprehensive exploration through both theoretical and numerical analyses. The stopping time concept, along with appropriate Lyapunov functions, allows us to explore the possibility of a globally positive solution. Through the derivation of reproduction numbers associated with the stochastic model, we establish criteria for the potential extinction of the diseases. The conditions under which one or both diseases may persist are explained. In the numerical aspect, we derive a computational scheme based on the Milstein method. The scheme will not only substantiate the theoretical results but also facilitate the examination of the impact of parameters on disease dynamics. Through examples and simulations, we have a crucial impact of varying parameters on the system's behavior.
{"title":"A novel SVIR epidemic model with jumps for understanding the dynamics of the spread of dual diseases.","authors":"Abdulwasea Alkhazzan,Jungang Wang,Yufeng Nie,Hasib Khan,Jehad Alzabut","doi":"10.1063/5.0175352","DOIUrl":"https://doi.org/10.1063/5.0175352","url":null,"abstract":"The emergence of multi-disease epidemics presents an escalating threat to global health. In response to this serious challenge, we present an innovative stochastic susceptible-vaccinated-infected-recovered epidemic model that addresses the dynamics of two diseases alongside intricate vaccination strategies. Our novel model undergoes a comprehensive exploration through both theoretical and numerical analyses. The stopping time concept, along with appropriate Lyapunov functions, allows us to explore the possibility of a globally positive solution. Through the derivation of reproduction numbers associated with the stochastic model, we establish criteria for the potential extinction of the diseases. The conditions under which one or both diseases may persist are explained. In the numerical aspect, we derive a computational scheme based on the Milstein method. The scheme will not only substantiate the theoretical results but also facilitate the examination of the impact of parameters on disease dynamics. Through examples and simulations, we have a crucial impact of varying parameters on the system's behavior.","PeriodicalId":519965,"journal":{"name":"Chaos: An Interdisciplinary Journal of Nonlinear Science","volume":"47 24 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142255565","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Recurrence analysis applications are hindered by several issues including the selection of critical parameters, noise sensitivity, computational complexity, or the analysis of non-stationary systems. Great progresses have been made by the community to address these issues individually, yet the diversity of resulting techniques with often additional parameters as well as a lack of consensus still impedes its use by nonspecialists. We present a procedure for simplified recurrence analysis based on compact recurrence plots with automatized parameter selection and enhanced noise robustness, and that are suited to the analysis of complex non-stationary systems. This approach aims at supporting the expansion of recurrence analysis for currently challenging or future applications such as for large systems, on-site studies, or using machine learning. The method is demonstrated on both synthetic and real data showing promising results.
{"title":"An algorithm for simplified recurrence analysis.","authors":"Rémi Delage,Toshihiko Nakata","doi":"10.1063/5.0225465","DOIUrl":"https://doi.org/10.1063/5.0225465","url":null,"abstract":"Recurrence analysis applications are hindered by several issues including the selection of critical parameters, noise sensitivity, computational complexity, or the analysis of non-stationary systems. Great progresses have been made by the community to address these issues individually, yet the diversity of resulting techniques with often additional parameters as well as a lack of consensus still impedes its use by nonspecialists. We present a procedure for simplified recurrence analysis based on compact recurrence plots with automatized parameter selection and enhanced noise robustness, and that are suited to the analysis of complex non-stationary systems. This approach aims at supporting the expansion of recurrence analysis for currently challenging or future applications such as for large systems, on-site studies, or using machine learning. The method is demonstrated on both synthetic and real data showing promising results.","PeriodicalId":519965,"journal":{"name":"Chaos: An Interdisciplinary Journal of Nonlinear Science","volume":"117 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142255567","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we analyze the large-space and large-time asymptotic properties of the vector rogon-soliton and soliton-like solutions of the n-component nonlinear Schrödinger equation with mixed nonzero and zero boundary conditions. In particular, we find that these solutions have different decay velocities along different directions of the x axis, that is, the solutions exponentially and algebraically decay along the positive and negative directions of the x axis, respectively. Moreover, we study the change of the acceleration of soliton moving with the increase in time or distance along the characteristic line (i.e., soliton moving trajectory). As a result, we find that the product of the acceleration and distance square tends to some constant value as time increases. These results will be useful to better understand the related multi-wave phenomena and to design physical experiments.
本文分析了具有混合非零和零边界条件的 n 分量非线性薛定谔方程的矢量罗贡索利顿和孤子类解的大空间和大时间渐近特性。特别是，我们发现这些解沿 x 轴的不同方向具有不同的衰减速度，即分别沿 x 轴的正方向和负方向呈指数衰减和代数衰减。此外，我们还研究了孤子沿特征线（即孤子运动轨迹）运动的加速度随时间或距离的增加而变化的情况。结果我们发现，随着时间的增加，加速度与距离平方的乘积趋于某个恒定值。这些结果将有助于更好地理解相关的多波现象和设计物理实验。
{"title":"Large-space and large-time asymptotic properties of vector rogon-soliton and soliton-like solutions for n-component NLS equations.","authors":"Weifang Weng","doi":"10.1063/5.0226548","DOIUrl":"https://doi.org/10.1063/5.0226548","url":null,"abstract":"In this paper, we analyze the large-space and large-time asymptotic properties of the vector rogon-soliton and soliton-like solutions of the n-component nonlinear Schrödinger equation with mixed nonzero and zero boundary conditions. In particular, we find that these solutions have different decay velocities along different directions of the x axis, that is, the solutions exponentially and algebraically decay along the positive and negative directions of the x axis, respectively. Moreover, we study the change of the acceleration of soliton moving with the increase in time or distance along the characteristic line (i.e., soliton moving trajectory). As a result, we find that the product of the acceleration and distance square tends to some constant value as time increases. These results will be useful to better understand the related multi-wave phenomena and to design physical experiments.","PeriodicalId":519965,"journal":{"name":"Chaos: An Interdisciplinary Journal of Nonlinear Science","volume":"2 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142255566","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An Empirical Study on Flipped Classroom in College Physical Education Theory Courses","authors":"Jianzhong Sun, Yintao Niu, Lei Wang","doi":"10.4236/ce.2024.152008","DOIUrl":"https://doi.org/10.4236/ce.2024.152008","url":null,"abstract":"","PeriodicalId":519965,"journal":{"name":"Chaos: An Interdisciplinary Journal of Nonlinear Science","volume":"364 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141551683","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Some Issues on the Development of the Fundamentals of Principles of Defense Education","authors":"Sukhbaatar Baigalmaa, Khalzan Orkhonchimeg, Baasanjav Ulziikhuyag, Dolgorsuren Enkhchimeg, Tavkhai Soronzonbold","doi":"10.4236/ce.2024.151006","DOIUrl":"https://doi.org/10.4236/ce.2024.151006","url":null,"abstract":"","PeriodicalId":519965,"journal":{"name":"Chaos: An Interdisciplinary Journal of Nonlinear Science","volume":"20 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141524165","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Erratum to “The Social-Friendly, Learning-Instructional Theory”","authors":"Nicholovich Rose","doi":"10.4236/ce.2024.151007","DOIUrl":"https://doi.org/10.4236/ce.2024.151007","url":null,"abstract":"","PeriodicalId":519965,"journal":{"name":"Chaos: An Interdisciplinary Journal of Nonlinear Science","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141524163","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Kien Tak Tam, Amardeep Kaur, Yinxia Tan, Du Juan, Chong Xian Gok, Mohd Razip Bajuri
{"title":"Formulization of Using Technology in Teaching and Learning of Statistics","authors":"Kien Tak Tam, Amardeep Kaur, Yinxia Tan, Du Juan, Chong Xian Gok, Mohd Razip Bajuri","doi":"10.4236/ce.2024.151005","DOIUrl":"https://doi.org/10.4236/ce.2024.151005","url":null,"abstract":"","PeriodicalId":519965,"journal":{"name":"Chaos: An Interdisciplinary Journal of Nonlinear Science","volume":"33 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141524164","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"WebQuests in Inquiry-Based Learning in Online Assessment of Teacher Education: From a Theory to Practice","authors":"Aysha Saeed AlShamsi","doi":"10.4236/ce.2024.151004","DOIUrl":"https://doi.org/10.4236/ce.2024.151004","url":null,"abstract":"","PeriodicalId":519965,"journal":{"name":"Chaos: An Interdisciplinary Journal of Nonlinear Science","volume":"49 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141551715","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Educational Beliefs of Special Education Teachers and Principals Working in Short-Term Emergency Shelter On-Site Schools","authors":"Michal Levy, Ruth Gottfried, Hagit Inbar-Furst","doi":"10.4236/ce.2024.151003","DOIUrl":"https://doi.org/10.4236/ce.2024.151003","url":null,"abstract":"","PeriodicalId":519965,"journal":{"name":"Chaos: An Interdisciplinary Journal of Nonlinear Science","volume":"49 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141524166","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Fernanda Drummond Ruas Gaspar, Gardênia da Silva Abbad
{"title":"Development of Situational Judgment Tests in Interprofessional Health Education","authors":"Fernanda Drummond Ruas Gaspar, Gardênia da Silva Abbad","doi":"10.4236/ce.2024.151002","DOIUrl":"https://doi.org/10.4236/ce.2024.151002","url":null,"abstract":"","PeriodicalId":519965,"journal":{"name":"Chaos: An Interdisciplinary Journal of Nonlinear Science","volume":"33 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141524167","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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