{"title":"Analysis of final size and peak time for SIR epidemic model on simplicial complexes","authors":"Ting Xu, Juping Zhang, Zhen Jin","doi":"10.1016/j.chaos.2025.116390","DOIUrl":"10.1016/j.chaos.2025.116390","url":null,"abstract":"<div><div>The Susceptible–Infected–Recovered <span><math><mrow><mo>(</mo><mi>SIR</mi><mo>)</mo></mrow></math></span> epidemic model based on a simplicial complex is investigated, incorporating higher-order network topology and nonlinear incidence rates. We derive theoretical results for the basic reproduction number, the final size, and the epidemic peak of the mean-field model. Furthermore, we provide a theoretical estimate for the peak time of an epidemic. Numerical simulations reveal that higher-order interactions significantly impact the dynamics of epidemic transmission. Specifically, as the strength of higher-order interactions increases, both the final size and the epidemic peak heighten, while the peak time is shortened. These findings highlight the importance of considering higher-order structures in modeling epidemic spread.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":""},"PeriodicalIF":5.3,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143814746","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Luigi Accardi , Abdessatar Souissi , El Gheteb Soueidi , Mohamed Rhaima
{"title":"Degree of entanglement in Entangled Hidden Markov Models","authors":"Luigi Accardi , Abdessatar Souissi , El Gheteb Soueidi , Mohamed Rhaima","doi":"10.1016/j.chaos.2025.116389","DOIUrl":"10.1016/j.chaos.2025.116389","url":null,"abstract":"<div><div>This paper investigates Entangled Hidden Markov Models (EHMMs), with a particular focus on how entanglement influences quantum dynamics. We present a structure theorem for inhomogeneous EHMMs, which provides a foundational understanding of their behavior in complex systems. Furthermore, we compute the Ohya degree of entanglement for models with deterministic stochastic matrices, offering a precise and rigorous way to quantify entanglement in these systems. By applying diagonal restrictions to the observation and hidden algebras, we also demonstrate how classical hidden Markov models (HMMs) naturally arise as a special case of EHMMs. This connection sheds light on the interplay between classical and quantum Markovian processes, bridging the gap between these two frameworks and deepening our understanding of their shared and distinct properties.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":""},"PeriodicalIF":5.3,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143814808","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Xinghua Chang , Jianrong Wang , Maoxing Liu , Xue Yan
{"title":"An SIS infectious disease model with nonlinear incidence and disease awareness on complex networks","authors":"Xinghua Chang , Jianrong Wang , Maoxing Liu , Xue Yan","doi":"10.1016/j.chaos.2025.116349","DOIUrl":"10.1016/j.chaos.2025.116349","url":null,"abstract":"<div><div>Social media holds a crucial position in mitigating the proliferation of infectious diseases, as the majority of individuals rely on media coverage to enhance their awareness of prevention measures. Based on the diversity of media coverage and the heterogeneity of the audience during the epidemic period, this paper establishes an SIS infectious diseases model on networks, employing a nonlinear incidence rate to capture the impact of media influence. By conducting a dynamic analysis of the model, the local stability and global stability of the disease-free equilibrium are demonstrated. Additionally, the unique existence, uniform persistence, and global attractiveness of the endemic equilibrium are verified. This article implements time-varying control on the self-isolation rate under media coverage, with the objective of managing the number of infected individuals, lowering contact rates, and minimizing promotional costs, while simultaneously achieving favorable promotional outcomes for the media. The optimal control solution for the model is derived using the Pontryagin’s Minimum Principle. The findings of the theoretical analysis are then validated through numerical simulation. The results indicate that the media coverage parameters do not influence the epidemic threshold, but they do impact the conditions for the persistence and attractiveness of the disease. Under optimal control, a balance is achieved between cost and infection scale. A moderate implementation rate can effectively curb the ongoing spread of the disease and significantly reduce the number of infections.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":""},"PeriodicalIF":5.3,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143815261","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Min Wu, Jianhong Mou, Bitao Dai, Suoyi Tan, Xin Lu
{"title":"Dismantling directed networks: A multi-temporal information field approach","authors":"Min Wu, Jianhong Mou, Bitao Dai, Suoyi Tan, Xin Lu","doi":"10.1016/j.chaos.2025.116404","DOIUrl":"10.1016/j.chaos.2025.116404","url":null,"abstract":"<div><div>While network robustness is often assessed via structural connectivity, this approach does not fully capture the performance of complex systems, which also depends on information flow among internal components. In this paper, we focus on the robustness of directed networks by proposing a framework to dismantle both their information flow and connectivity. Specifically, we develop a multi-temporal information field model for directed networks based on quantum mechanics, and construct the Directed Node Entanglement (<em>DNE</em>) centrality metric using a generalized network density matrix. We first investigate the impact of time scale on <em>DNE</em> and find that its dismantling performance is optimal at a smaller <span><math><mi>τ</mi></math></span>. Consequently, we approximate <em>DNE</em> at these scales using mean-field theory and validate the accuracy of our approximation. Moreover, extensive targeted attack experiments on real-world networks show that <em>DNE</em> effectively disrupts both information flow and connectivity, achieving improvement rates of up to 21.34 % and 40.39 %, respectively. Finally, correlation analyses indicate that <em>DNE</em> accounts for both high outward connectivity and bridging potential, offering a distinct perspective on node importance in directed networks. In summary, our study extends the information field model to directed networks and investigates both their information flow and connectivity, providing valuable insights into network robustness.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116404"},"PeriodicalIF":5.3,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143816725","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Noise cleaning of polarization domains in an L-band fiber laser","authors":"Jingmin Liu , Zhaojiang Shi , Xu Chen , Xia Yu","doi":"10.1016/j.chaos.2025.116387","DOIUrl":"10.1016/j.chaos.2025.116387","url":null,"abstract":"<div><div>In this work, we experimentally observed polarization domains underlying cross-gain saturation and gain competition between the polarization modes at orthogonal directions in an L-band fiber laser. We investigated how the background noise of polarization domains be cleaned, which was demonstrated by estimating the polarization instability induced phase difference at orthogonal directions. Noise cleaning occurred when the polarization domains were antiphase. Our work delivers fundamental insights into the polarization instability and the vector beam nonlinear dynamics originating from polarization rotation between orthogonal directions. This work is expected to enrich the laser source optimization scheme by utilizing nonlinear effects to realize noise suppression technology.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116387"},"PeriodicalIF":5.3,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143816730","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Brainwaves and their entrainment influence the processing speeds of in-congruent stimuli","authors":"Richa Phogat , Sandhya Basu , Aarsh Chotalia , Bidisha Banerjee , P. Parmananda","doi":"10.1016/j.chaos.2025.116410","DOIUrl":"10.1016/j.chaos.2025.116410","url":null,"abstract":"<div><div>Neural rhythms, such as the alpha rhythm, result from spontaneous oscillatory dynamics within the brain and hold significant promise for revealing the mechanisms that drive various cognitive processes. In this study, we examine the relationship between alpha activity and cognition using the Stroop test to quantify cognitive tendencies. The Stroop Interference T-Scores (IS-values) measure the difference in processing speeds between coherent and incoherent stimuli in the Stroop task. Higher IS-values indicate a faster processing of congruent (color-naming) stimuli, whereas lower IS-values reflect a comparatively faster processing of incongruent (color-word) stimuli. Building on our observed relationship between normalized Peak Alpha Frequency (PAF) and IS-values, we further investigate the potential for modulating these cognitive tendencies by entraining neuronal rhythms through external photic stimulation in the beta range (15 Hz). The effectiveness of this entrainment is assessed using the Coherence Factor (CF), where higher CF values indicate stronger entrainment. Our findings reveal a statistically significant correlation between normalized PAF and IS-values. Furthermore, a multi-day 15-Hz beta intervention leads to substantial improvements at the group level in both congruent and incongruent Stroop task performance. However, despite these overall improvements, a consistent increase in IS-values was not observed. Notably, an individualized analysis of CF and IS-values reveals a significant correlation between these metrics, suggesting that beta entrainment enhances dominant cognitive attributes on an individual basis. Specifically, our results indicate that beta entrainment selectively improves performance in the Stroop task that is already more dominant for a given individual.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116410"},"PeriodicalIF":5.3,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143817223","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An agent-based model for simulating cooperative behavior in crowd evacuation during toxic gas terrorist attacks","authors":"Peng Lu , Yufei Li","doi":"10.1016/j.chaos.2025.116397","DOIUrl":"10.1016/j.chaos.2025.116397","url":null,"abstract":"<div><div>Toxic gas leaks pose severe threats to public safety and societal stability, leading to large-scale casualties and social panic. This paper focuses on crowd evacuation behavior during toxic gas leak incidents, proposing an evacuation model that combines Computational Fluid Dynamics (CFD) and Agent-Based Modeling (ABM). By introducing a helping mechanism among agents with prosocial personalities, the study examines the impact of the prosocial personality ratio (<em>p</em>) on evacuation time, fatalities, and severe injuries. Subsequently, the effects of the <em>p</em> under varying conditions, such as total population size and evacuation response time, are explored. Additionally, a Random Forest model is employed to accurately predict evacuation risks, and the NSGA-III multi-objective optimization algorithm is utilized to identify the optimal range of <em>p</em> across different scenarios. The results indicate that a reasonable proportion of prosocial personalities can significantly reduce fatality rates and enhance overall evacuation efficiency. However, an excessively high proportion of prosocial individuals may increase crowd casualties due to extended delays caused by helping behaviors. This study contributes to the body of knowledge on public safety, provides methodological references for developing evacuation strategies during toxic gas diffusion incidents, and offers guidance for future emergency management practices.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":""},"PeriodicalIF":5.3,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143807113","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
V. Geethalakshmi , R. Ravi Kumar , M.K. Kalarani , R. Karthikeyan , R. Sivakumar , N.K. Sathyamoorthy , Ga. Dheebakaran
{"title":"Stability of the diurnal cycles of an atmospheric boundary layer in a partial differential equation with a finite element model","authors":"V. Geethalakshmi , R. Ravi Kumar , M.K. Kalarani , R. Karthikeyan , R. Sivakumar , N.K. Sathyamoorthy , Ga. Dheebakaran","doi":"10.1016/j.chaos.2025.116367","DOIUrl":"10.1016/j.chaos.2025.116367","url":null,"abstract":"<div><div>We use the conservation laws of mass, momentum, energy, and moisture equations derived from a finite element model to assess the stability of diurnal cycles of atmospheric boundary layer flow. The results show the most accurate predictions for how temperature, pressure, and wind speed affect mesoscale flow in various domains, with isentropes remaining stable despite the dynamic influence of initial and damped boundary conditions. The degree of turbulence can fluctuate due to weak temperature and wind gradients. In order to determine which isentropes are stable in a particular area of the cold core and cyclonic system in the lower atmosphere, this work employs the numerical weather prediction (NWP) of adaptive discontinuous finite element Galerkin approach to detect temperature, pressure, wind speed, and magnitude of the turbulence oscillation mode. We select starting mesh point is longitude and latitude values (Chennai), wind speed at 2, 4, 6, 8, 10, 12 m level, temperature and relative humidity, then other nodes are treated as every 50 km distance longitude and latitude value, wind speed at 2, 4, 6, 8, 10, 12 m level, temperature and relative humidity as starting node and ending node values (Coimbatore). The computational domain is rectangular, 550 km in the horizontal and 2000 m height. In order to resolve the frontal movement reasonably well, we discretize the domain into 91 × 91 rectangular bi-quadratic elements with an effective horizontal grid spacing of 2 km, spanning a length of 30 km inland from the shore.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116367"},"PeriodicalIF":5.3,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143816729","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Xiaojing Wei , Lijun Qiao , Zhiyong Guo , Xiaona Wang , Jian Li , Mingjiang Zhang
{"title":"Broadband and time-delay signature suppressed chaos generation in semiconductor laser subjected to microring resonator combined with optical injection","authors":"Xiaojing Wei , Lijun Qiao , Zhiyong Guo , Xiaona Wang , Jian Li , Mingjiang Zhang","doi":"10.1016/j.chaos.2025.116417","DOIUrl":"10.1016/j.chaos.2025.116417","url":null,"abstract":"<div><div>We experimentally investigate the evolutions of the chaotic characteristics in semiconductor laser subjected to microring resonator combined with optical injection. When the experimental parameters are changed, we calculate the standard bandwidth, flatness, and time-delay signature value of the chaotic laser. By the multiple beam interference effect, linear filtering effect and nonlinear self-phase modulation effect of microring resonator, as well as the beating frequency effect of optical injection, a chaotic laser with the standard bandwidth of 33.9 GHz, the flatness of ±3.7 dB, and the time-delay signature value of 0.08 is generated. Furthermore, the maps of the bandwidth, flatness and time-delay signature value of chaotic laser in the parameter space of the injection strength and frequency detuning are obtained. The results show that the chaotic laser with the bandwidth greater than 25.0 GHz, the flatness lower than ±5.0 dB, and the time-delay signature value lower than 0.10 can be generated simultaneously in a wide range of operating parameters.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116417"},"PeriodicalIF":5.3,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143800315","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Tatyana A. Alexeeva , Nikolay V. Kuznetsov , Timur N. Mokaev , Ivan Zelinka
{"title":"Chaotic dynamics in an overlapping generations model: Forecasting and regularization","authors":"Tatyana A. Alexeeva , Nikolay V. Kuznetsov , Timur N. Mokaev , Ivan Zelinka","doi":"10.1016/j.chaos.2025.116371","DOIUrl":"10.1016/j.chaos.2025.116371","url":null,"abstract":"<div><div>Irregular dynamics (especially chaotic) is often undesirable in economics because it presents challenges for predicting and controlling the behavior of economic agents. In this paper, we used an overlapping generations (OLG) model with a control function in the form of government spending as an example, to demonstrate an effective approach to forecasting and regulating chaotic dynamics based on a combination of classical control methods and artificial intelligence algorithms. We showed that in the absence of control variables, both regular and irregular (including chaotic) behavior could be observed in the model. In the case of irregular dynamics, a small control action introduced in the model allows modifying the behavior of economic agents and switching their dynamics from irregular to regular mode. We used control synthesis by the Pyragas method to solve the problem of regularizing the irregular behavior and stabilizing unstable periodic orbits (UPOs) embedded in the chaotic attractor of the model. To maximize the basin of attraction of stabilized UPOs, we used several types of evolutionary algorithms (EAs). We compared the results obtained by applying these EAs in numerical experiments and verified the outcomes by numerical simulation. The proposed approach allows us to improve the forecasting of dynamics in the OLG model and make agents’ expectations more predictable.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116371"},"PeriodicalIF":5.3,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143800309","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}