Chaos, Solitons and Fractals: X最新文献_第3页

Asymptotics for peakon-antipeakon collision in a general Camassa-Holm model 一般Camassa-Holm模型中peakon反尖峰碰撞的渐近性

Chaos, Solitons and Fractals: X Pub Date : 2023-11-04 DOI: 10.1016/j.csfx.2023.100101

G. Omel'yanov

引用次数: 0

Analysis of perturbation factors and fractional order derivatives for the novel singular model using the fractional Meyer wavelet neural networks 用分数阶Meyer小波神经网络分析奇异模型的扰动因子和分数阶导数

Chaos, Solitons and Fractals: X Pub Date : 2023-08-21 DOI: 10.1016/j.csfx.2023.100100

Zulqurnain Sabir , Mohamed R. Ali

{"title":"Analysis of perturbation factors and fractional order derivatives for the novel singular model using the fractional Meyer wavelet neural networks","authors":"Zulqurnain Sabir , Mohamed R. Ali","doi":"10.1016/j.csfx.2023.100100","DOIUrl":"https://doi.org/10.1016/j.csfx.2023.100100","url":null,"abstract":"<div><p>In this study, an analysis of the perturbation factors and fractional order derivatives is performed for the novel singular model. The design of the perturbed fractional order singular model is presented by using the traditional form of the Lane-Emden along with the detail of singular points, fractional order, shape, and perturbed factors. The analysis of the perturbation factors and fractional order terms for the singular model is provided in two steps by taking three different values of the perturbed term as well as fractional order derivatives. The numerical analysis of the perturbation and fractional order terms for the novel fractional Meyer wavelet neural network (FMWNN) along with the global and local search effectiveness of the genetic algorithm (GA) and active-set algorithm (ASA) called as FMWNN-GAASA. The modeling of the FMWNN is presented in terms of mean square error, while the optimization is performed through the GAASA. The authentication, validation, excellence, and correctness of the singular model are observed by using the comparative performances of the obtained and the reference solutions. The stability of the proposed stochastic scheme is observed through the statistical performances for taking large datasets to present the analysis of the perturbation and fractional order terms.</p></div>","PeriodicalId":37147,"journal":{"name":"Chaos, Solitons and Fractals: X","volume":"11 ","pages":"Article 100100"},"PeriodicalIF":0.0,"publicationDate":"2023-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49795386","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}

引用次数: 0

Public goods games played on hypergraphs, by agents with bounded learning and planning 具有有限学习和规划的代理人在超图上玩的公共产品游戏

Chaos, Solitons and Fractals: X Pub Date : 2023-08-08 DOI: 10.1016/j.csfx.2023.100099

Prakhar Godara, Stephan Herminghaus

{"title":"Public goods games played on hypergraphs, by agents with bounded learning and planning","authors":"Prakhar Godara, Stephan Herminghaus","doi":"10.1016/j.csfx.2023.100099","DOIUrl":"https://doi.org/10.1016/j.csfx.2023.100099","url":null,"abstract":"<div><p>Public goods games between model agents with bounded rationality and a simple learning rule, which have been previously shown to represent experimentally observed human playing behavior, are studied by direct simulation on various lattices with different network topology. Despite strong coupling between playing groups, we find that average investments do not significantly depend upon network topology, but are determined solely by immediate local network environment. Furthermore, the dependence of investments on characteristic agent parameters factorizes into a function of individual cognitive budget, <em>K</em>, and a simple function <span><math><mn>1</mn><mo>/</mo><mo>(</mo><mn>1</mn><mo>+</mo><mi>c</mi><mo>(</mo><mn>0</mn><mo>)</mo><mo>/</mo><mi>β</mi><mo>)</mo></math></span>, where <span><math><mi>c</mi><mo>(</mo><mn>0</mn><mo>)</mo></math></span> is the group centrality and <span><math><mi>β</mi><mo>=</mo><mn>12.5</mn></math></span> for all networks investigated. Given the good agreement of agent behavior with available experiments, this seems to indicate that even complex societal networks of investment in public goods may be accessible to predictive simulation with limited effort.</p></div>","PeriodicalId":37147,"journal":{"name":"Chaos, Solitons and Fractals: X","volume":"11 ","pages":"Article 100099"},"PeriodicalIF":0.0,"publicationDate":"2023-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49795385","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}

引用次数: 0

Analysis of dengue infection transmission dynamics in Nepal using fractional order mathematical modeling 尼泊尔登革热感染传播动态的分数阶数学模型分析

Chaos, Solitons and Fractals: X Pub Date : 2023-07-03 DOI: 10.1016/j.csfx.2023.100098

Hem Raj Pandey , Ganga Ram Phaijoo , Dil Bahadur Gurung

{"title":"Analysis of dengue infection transmission dynamics in Nepal using fractional order mathematical modeling","authors":"Hem Raj Pandey , Ganga Ram Phaijoo , Dil Bahadur Gurung","doi":"10.1016/j.csfx.2023.100098","DOIUrl":"https://doi.org/10.1016/j.csfx.2023.100098","url":null,"abstract":"<div><p>Dengue is a significant factor to the global public health issue, including Nepal. In Nepal from <span><math><mrow><mn>2004</mn><mo>−</mo><mn>2022</mn></mrow></math></span>, the largest outbreak occurred in the year 2022. Dengue infection cases appeared all over 77 districts of Nepal. The Caputo fractional order SEIR-SEI epidemic model is able to describe dengue disease transmission dynamics of present situation. For fundamental mathematical guarantees of epidemic model equations, we studied the Lipschitz and Banach contraction theorems to show that the model equations have a unique solution. The Ulam-Hyres stability is established in the model. Next generation matrix approach is used to calculate the associated basic reproduction number <span><math><msub><mi>R</mi><mn>0</mn></msub></math></span>. The model equilibrium points are identified, and the local asymptotic stability for disease-free equilibrium point is analyzed. Normalized forward and partial rank correlation coefficient are used for sensitivity study to identify the factors that affect dengue infection with respect to basic reproduction number. Using real data of Nepal, the model is fitted and the least square method is used for estimating parameters. Numerical scheme has been illustrated using a two-step Lagrange interpolation approach and the solution is approximated. With numerical results and sensitivity analysis, it is concluded that biting rate and death rate of mosquito are extremely sensitive to the disease transmission. The transmission increases with increasing biting rate and decreases with decreasing mosquito death rate. For the year 2022, <span><math><mrow><msub><mi>R</mi><mn>0</mn></msub><mo>=</mo><mn>1.7739</mn><mo>></mo><mn>1</mn></mrow></math></span> showing that the disease is endemic. Thus, effective control measure should be implemented to combat the dengue virus. However, further research needs to be undertaken to assess the impact of such control measures.</p></div>","PeriodicalId":37147,"journal":{"name":"Chaos, Solitons and Fractals: X","volume":"11 ","pages":"Article 100098"},"PeriodicalIF":0.0,"publicationDate":"2023-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49795384","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}

引用次数: 1

Novel theorems for a Bochner flat Lorentzian Ka¨hler space-time manifold with η-Ricci-Yamabe solitons 具有η-Ricki-Yamabe孤子的Bochner平坦Lorentzian-Ka¨hler时空流形的新定理

Chaos, Solitons and Fractals: X Pub Date : 2023-06-24 DOI: 10.1016/j.csfx.2023.100097

B.B. Chaturvedi , Prabhawati Bhagat , Mohammad Nazrul Islam Khan

引用次数: 0

An Accurate Analytical Solution to Troesch’s Problem Through Lower and Upper Envelope Techniques Troesch问题的上下包络精确解析解

Chaos, Solitons and Fractals: X Pub Date : 2023-06-14 DOI: 10.1016/j.csfx.2023.100096

Mihai Halic, Roshan Tajarod, Helmi Temimi

引用次数: 1

Cost-effectiveness of a mathematical modeling with optimal control approach of spread of COVID-19 pandemic: A case study in Peru 2019冠状病毒病(COVID-19)大流行传播最优控制方法数学建模的成本效益:秘鲁案例研究

Chaos, Solitons and Fractals: X Pub Date : 2023-06-01 DOI: 10.1016/j.csfx.2022.100090

Abdelfatah Kouidere , Omar Balatif , Mostafa Rachik

引用次数: 3

Stochastic integrodifferential models of fractional orders and Leffler nonsingular kernels: well-posedness theoretical results and Legendre Gauss spectral collocation approximations 分数阶随机积分微分模型和Leffler非奇异核：适定性理论结果和勒让德-高斯谱配置近似

Chaos, Solitons and Fractals: X Pub Date : 2023-06-01 DOI: 10.1016/j.csfx.2023.100091

Haneen Badawi , Omar Abu Arqub , Nabil Shawagfeh

{"title":"Stochastic integrodifferential models of fractional orders and Leffler nonsingular kernels: well-posedness theoretical results and Legendre Gauss spectral collocation approximations","authors":"Haneen Badawi , Omar Abu Arqub , Nabil Shawagfeh","doi":"10.1016/j.csfx.2023.100091","DOIUrl":"https://doi.org/10.1016/j.csfx.2023.100091","url":null,"abstract":"<div><p>Stochastic fractional integrodifferential models are widely employed to model several natural phenomena these days. This current work focuses on the well-posedness results and numerical solutions of a specific form of these models considering the Leffler nonsingular kernels operator wherein the stochastic term is driven by the standard Brownian motion. Accordingly, a combination of sufficient conditions, topological theorems, and Banach space theory are utilized to construct the well-posedness proof. For treating the numerical issue, a familiar spectral collocation technique relying upon shifted Legendre series expansion theory is proposed. The basic properties of Brownian motion and a linear spline interpolation method are used to simulate the standard Brownian motion at a fixed time value. In addition, the idea of the Gauss-Legendre numerical integration rule is implemented to approximate the finite integral. We also devote our attention to the concept of convergence of the proposed method and demonstrate its analysis. Ultimately, the obtained theoretical results and the presented method are examined with five numerous applications. The obtained results indicate the high accuracy and efficiency of applying this method in solving stochastic models of the above-mentioned form.</p></div>","PeriodicalId":37147,"journal":{"name":"Chaos, Solitons and Fractals: X","volume":"10 ","pages":"Article 100091"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49843425","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}

引用次数: 4

How big of an impact do asymptomatic people have on the dynamics of an epidemic? 无症状的人对流行病的动态有多大影响？

Chaos, Solitons and Fractals: X Pub Date : 2023-06-01 DOI: 10.1016/j.csfx.2023.100093

Md Biplob Hossain , Masud M．A． , Arun Kumar Sikder , Md Hamidul Islam

{"title":"How big of an impact do asymptomatic people have on the dynamics of an epidemic?","authors":"Md Biplob Hossain , Masud M．A． , Arun Kumar Sikder , Md Hamidul Islam","doi":"10.1016/j.csfx.2023.100093","DOIUrl":"https://doi.org/10.1016/j.csfx.2023.100093","url":null,"abstract":"<div><p>Asymptomatic carriers serve as a potential source of transmission of epidemic diseases. Exposed people who develop symptoms only get tested and remain isolated in their homes or sometimes in hospitals when needed. In contrast, the asymptomatic individuals go untested and spread the disease silently as they roam freely throughout their entire infectious lifetime. The work intends to explore the role of asymptomatic carriers in the transmission of epidemic diseases and investigate suitable optimal control strategies. We propose a SEIAQR compartmental model subdividing the total population into six different compartments. To illustrate the model’s implication, we estimate the number of asymptomatic individuals using COVID-19 data during June 9–July 18, 2021 from Bangladesh. We then analyze the model to explore whether the epidemic subsides if the asymptomatic individuals are tested randomly and isolated. Finally, to gain a better understanding of the potential of this unidentified transmission route, we propose an optimal control model considering two different control strategies: personal protective measures and isolation of asymptomatic carriers through random testing. Our results show that simultaneous implementation of both control strategies can reduce the epidemic early. Most importantly, sustained effort in identifying and isolation of asymptotic individuals allows relaxation in personal protective measures.</p></div>","PeriodicalId":37147,"journal":{"name":"Chaos, Solitons and Fractals: X","volume":"10 ","pages":"Article 100093"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49843426","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}

引用次数: 0

A particle swarm optimization algorithm with empirical balance strategy 一种具有经验平衡策略的粒子群优化算法

Chaos, Solitons and Fractals: X Pub Date : 2023-06-01 DOI: 10.1016/j.csfx.2022.100089

Yonghong Zhang, Xiangyu Kong

{"title":"A particle swarm optimization algorithm with empirical balance strategy","authors":"Yonghong Zhang, Xiangyu Kong","doi":"10.1016/j.csfx.2022.100089","DOIUrl":"https://doi.org/10.1016/j.csfx.2022.100089","url":null,"abstract":"<div><p>As an important research direction of swarm intelligence algorithm, particle swarm optimization (PSO) has become a popular evolutionary method and received extensive attention in the past decades. Despite many PSO variants have been proposed, how to maintain a good balance between the exploration and exploitation abilities, and how to jump out of the local optimal position are still challenges. In this article, based on empirical balance strategy, a new particle swarm optimization (EBPSO) algorithm is presented. Firstly, based on an adaptive adjustment mechanism, the algorithm can choose a better strategy from two search equations, which can maintain the balance between the exploration and exploitation abilities. Secondly, to utilize the information of individual historical optimal solution and the optimal solution of the current population, a weight for adjusting their influence is introduced into the search equation. Thirdly, by introducing the diversity of population, a moving equation for dynamically adjusting the search ability of the algorithm is proposed. Finally, to avoid falling into local optimum and to search the potential location, a dynamic random search mechanism is proposed, which is designed by using the information of the current optimal solution. Compared with some state-of-the-art algorithms, the experimental results show that EBPSO has excellent solution quality and convergence characteristic on almost all test problems.</p></div>","PeriodicalId":37147,"journal":{"name":"Chaos, Solitons and Fractals: X","volume":"10 ","pages":"Article 100089"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49848975","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}

引用次数: 8