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Dynamical impact of virus carrier screening and actively seeking treatment on a stochastic HIV/AIDS infection model with log-normal Ornstein–Uhlenbeck process 病毒携带者筛选和积极寻求治疗对具有对数正态Ornstein-Uhlenbeck过程的HIV/AIDS随机感染模型的动态影响
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-06-09 DOI: 10.1016/j.cnsns.2025.109005
Shengnan Jiang, Wenjie Zuo, Daqing Jiang
{"title":"Dynamical impact of virus carrier screening and actively seeking treatment on a stochastic HIV/AIDS infection model with log-normal Ornstein–Uhlenbeck process","authors":"Shengnan Jiang,&nbsp;Wenjie Zuo,&nbsp;Daqing Jiang","doi":"10.1016/j.cnsns.2025.109005","DOIUrl":"10.1016/j.cnsns.2025.109005","url":null,"abstract":"<div><div>A stochastic HIV/AIDS model with a log-normal Ornstein–Uhlenbeck process is investigated, which incorporates screened disease carriers and active treatment. First, the global asymptotic stability of endemic equilibrium of the corresponding deterministic system is obtained when <span><math><mrow><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>&gt;</mo><mn>1</mn></mrow></math></span>. Second, the existence of stationary distribution is examined by constructing a suitable Lyapunov function, which determines the critical value. In addition, sufficient conditions for the persistence and extinction of the diseases are given. Moreover, an exact expression of the density function near the quasi-endemic equilibrium is derived by solving a seven-dimensional Fokker–Planck equation, and unknown parameters of the probability density function are estimated by using maximum likelihood estimation. Finally, numerical simulations and sensitivity analysis are illustrated to offer crucial insights for AIDS treatment strategies.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"150 ","pages":"Article 109005"},"PeriodicalIF":3.4,"publicationDate":"2025-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144252914","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Adaptive secure control for connected nonlinear servo systems with constraints through observer 带约束的连接非线性伺服系统观测器自适应安全控制
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-06-09 DOI: 10.1016/j.cnsns.2025.109064
Yimeng Su , Meng Li , Yong Chen
{"title":"Adaptive secure control for connected nonlinear servo systems with constraints through observer","authors":"Yimeng Su ,&nbsp;Meng Li ,&nbsp;Yong Chen","doi":"10.1016/j.cnsns.2025.109064","DOIUrl":"10.1016/j.cnsns.2025.109064","url":null,"abstract":"<div><div>In this paper, the problem of adaptive secure control of a nonlinear servo system subject to state constraints, disturbance and denial-of-service (DoS) attacks is studied. An adaptive backstepping control scheme is developed. Firstly, a model of connected servo motors suffer from state constraints and disturbance is established. Then, in order to estimate the prior knowledge of the disturbance, a disturbance observer is proposed and the convergence of the observer is proved. Thirdly, an adaptive backstepping control strategy is designed for the system without DoS attacks, and a barrier Lyapunov function is proposed to solve the state constraints of the system. Furthermore, the adaptive backstepping security control approach is presented for the system under DoS attacks and it is shown that the convergence of the system under DoS attacks is maintained as long as each attack time is less than a specific constant. Finally, the simulation results demonstrate the effectiveness of the proposed methods.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"150 ","pages":"Article 109064"},"PeriodicalIF":3.4,"publicationDate":"2025-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144264003","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
KAM tori for a nonlinear beam equation with an almost periodic potential based on the space variable 基于空间变量的概周期势非线性梁方程的KAM tori
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-06-09 DOI: 10.1016/j.cnsns.2025.109045
Sixue Zhu, Jie Rui
{"title":"KAM tori for a nonlinear beam equation with an almost periodic potential based on the space variable","authors":"Sixue Zhu,&nbsp;Jie Rui","doi":"10.1016/j.cnsns.2025.109045","DOIUrl":"10.1016/j.cnsns.2025.109045","url":null,"abstract":"<div><div>In this paper, we study a nonlinear beam equation subject to an almost periodic forced term, which is analytic on <span><math><mi>t</mi></math></span> and <span><math><mi>x</mi></math></span>. Under appropriate assumptions on the perturbation, we show the existence of almost periodic solutions of such an equation and present a more precise analytical solution. The proof is based on the partial normal form and infinite-dimensional KAM (Kolmogorov–Arnold–Moser) theory.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"150 ","pages":"Article 109045"},"PeriodicalIF":3.4,"publicationDate":"2025-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144271150","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Strongly convergent two-step inertial subgradient extragradient methods for solving quasi-monotone variational inequalities with applications 求解拟单调变分不等式的强收敛两步惯性次梯度法及其应用
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-06-09 DOI: 10.1016/j.cnsns.2025.108959
Pongsakorn Sunthrayuth , Abubakar Adamu , Kanikar Muangchoo , Sakulbuth Ekvittayaniphon
{"title":"Strongly convergent two-step inertial subgradient extragradient methods for solving quasi-monotone variational inequalities with applications","authors":"Pongsakorn Sunthrayuth ,&nbsp;Abubakar Adamu ,&nbsp;Kanikar Muangchoo ,&nbsp;Sakulbuth Ekvittayaniphon","doi":"10.1016/j.cnsns.2025.108959","DOIUrl":"10.1016/j.cnsns.2025.108959","url":null,"abstract":"<div><div>In this paper, we introduce two modified subgradient extragradient methods with two-inertial steps based on Halpern-type and Mann-type iterations for approximating solutions of variational inequalities involving quasi-monotone operators in real Hilbert spaces. The step-size of our proposed algorithms are designed to select self-adaptively without requiring the knowledge of the Lipschitz constant of the cost operator. The strong convergence results of the proposed algorithms are proved without assuming on-line rule. We also utilize the proposed algorithms to solve the quasi-convex programming problems. Moreover, we provide some numerical examples to demonstrate the better performance over those algorithms of the recent literature. Finally, the proposed algorithms are also applied to solve regularized decentralized logistic regression problems that appear in classification problems in machine learning.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"150 ","pages":"Article 108959"},"PeriodicalIF":3.4,"publicationDate":"2025-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144264005","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Analysis and discretization of nonlinear generalized fractional stochastic differential equations 非线性广义分数阶随机微分方程的分析与离散化
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-06-09 DOI: 10.1016/j.cnsns.2025.108983
Jie Ma , Xu Guo , Hong Wang , Zhiwei Yang
{"title":"Analysis and discretization of nonlinear generalized fractional stochastic differential equations","authors":"Jie Ma ,&nbsp;Xu Guo ,&nbsp;Hong Wang ,&nbsp;Zhiwei Yang","doi":"10.1016/j.cnsns.2025.108983","DOIUrl":"10.1016/j.cnsns.2025.108983","url":null,"abstract":"<div><div>This paper investigates the well-posedness and numerical approximation of a nonlinear generalized fractional stochastic differential equation driven by multiplicative white noise. The proposed model generalizes conventional Caputo-type fractional stochastic systems by incorporating a kernel function <span><math><mrow><mi>ζ</mi><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow></mrow></math></span>, which enables flexible characterization of memory effects and nonlocal interactions in complex stochastic dynamics. The existence, uniqueness, and regularity of solutions for the considered problem is established by combining generalized Gronwall inequality with smoothness assumptions on <span><math><mrow><mi>ζ</mi><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow></mrow></math></span>. Furthermore, a novel generalized Euler–Maruyama scheme is constructed for numerical resolution, whose stability and strong convergence (under refined regularity conditions on <span><math><mrow><mi>ζ</mi><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow></mrow></math></span>) are rigorously proved. Compared with existing works limited to specific fractional operators, our methodology provides a unified treatment for diverse kernel-driven stochastic systems while preserving numerical tractability. Several numerical experiments are included to verify the theoretical results. This work extends the modeling capability of fractional stochastic calculus and offers a versatile tool for describing anomalous diffusion processes and memory-dependent phenomena in interdisciplinary applications.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"150 ","pages":"Article 108983"},"PeriodicalIF":3.4,"publicationDate":"2025-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144271272","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 order induced bifurcations in Caputo-type denatured Morris–Lecar neurons 分数阶诱导caputo型变性Morris-Lecar神经元分叉
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-06-07 DOI: 10.1016/j.cnsns.2025.108984
Indranil Ghosh , Hammed Olawale Fatoyinbo
{"title":"Fractional order induced bifurcations in Caputo-type denatured Morris–Lecar neurons","authors":"Indranil Ghosh ,&nbsp;Hammed Olawale Fatoyinbo","doi":"10.1016/j.cnsns.2025.108984","DOIUrl":"10.1016/j.cnsns.2025.108984","url":null,"abstract":"<div><div>We set up a system of Caputo-type fractional differential equations for a reduced neuron model known as the <em>denatured</em> Morris–Lecar (dML) system. This neuron model has a structural similarity to a FitzHugh–Nagumo type system. We explore both a single-cell isolated neuron and a two-coupled dimer that can have two different coupling strategies. The main purpose of this study is to report various oscillatory phenomena (tonic spiking, mixed-mode oscillation) and bifurcations (saddle–node and Hopf) that arise with variation of the order of the fractional operator and the magnitude of the coupling strength for the coupled system. Various closed-form solutions as functions of the system parameters are established that act as the necessary and sufficient conditions for the stability of the equilibrium point. Fractional order systems induce memory effects to excitable cells, thus providing an efficient and biophysically more realistic scenario. All theoretical analyses in this study are supported by rigorous numerical simulations.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"150 ","pages":"Article 108984"},"PeriodicalIF":3.4,"publicationDate":"2025-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144241644","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Lump chains in the BKP equation BKP方程中的块链
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-06-06 DOI: 10.1016/j.cnsns.2025.108982
Shoufeng Shen , Han-Han Sheng , Guo-Fu Yu , Kai Zhou
{"title":"Lump chains in the BKP equation","authors":"Shoufeng Shen ,&nbsp;Han-Han Sheng ,&nbsp;Guo-Fu Yu ,&nbsp;Kai Zhou","doi":"10.1016/j.cnsns.2025.108982","DOIUrl":"10.1016/j.cnsns.2025.108982","url":null,"abstract":"<div><div>In this paper, we investigate a broad class of solutions of the B-type Kadomtseve-Petviashvili (BKP) equation by utilizing the Pfaffian <span><math><mi>τ</mi></math></span>-function. The fundamental solution is a linear periodic chain of lumps moving at separate group and wave velocities. We construct general linear arrangements for the BKP equation and give degenerate configurations such as parallel and superimposed lump chains. The soliton-breather resonant solutions are derived, and interaction asymptotic analyses are performed. It is shown that one soliton can split into a new soliton and a breather, or one soliton and one breather merge into a new soliton. Resonant interactions of lump chains are analyzed with asymptotic analysis. We find <span><math><mi>Y</mi></math></span>-shaped lump chains where one lump chain splits into two parallel lump chains, or two parallel lump chains merge into a new one. Multi-lump chains are constructed with polygonal interaction regions. Hybrid solutions consisting of lump chains and individual lumps are found.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"150 ","pages":"Article 108982"},"PeriodicalIF":3.4,"publicationDate":"2025-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144264004","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
The second order variable time step, decoupled, linearized and unconditional stable numerical scheme for the Boussinesq equations 二阶变时间步长，解耦，线性化和无条件稳定的Boussinesq方程数值格式
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-06-06 DOI: 10.1016/j.cnsns.2025.108980
Tong Zhang , Lele Chen , Chuanxiang Sheng
{"title":"The second order variable time step, decoupled, linearized and unconditional stable numerical scheme for the Boussinesq equations","authors":"Tong Zhang ,&nbsp;Lele Chen ,&nbsp;Chuanxiang Sheng","doi":"10.1016/j.cnsns.2025.108980","DOIUrl":"10.1016/j.cnsns.2025.108980","url":null,"abstract":"<div><div>This paper considers the second order variable time-step DLN algorithm for the time-dependent Boussinesq equations. The considered numerical scheme maintains the following features: second order, decoupling, linearization and unconditional stability. In order to achieve the above mentioned merits, the semi-implicit scheme is adopted to treat the nonlinear terms, the stability results of numerical scheme are provided, and the optimal error estimates of numerical solutions are obtained. Furthermore, the fully discrete numerical scheme for the Boussinesq equations is designed in the framework of the finite element method. The corresponding stability and optimal <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>-norm error estimates are also presented. Finally, some numerical results are given to verify the established theoretical findings and show the performances of the considered numerical scheme.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"150 ","pages":"Article 108980"},"PeriodicalIF":3.4,"publicationDate":"2025-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144252913","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 the programming of cubic acoustic resonator with periodic time-dependent coefficient 具有周期时变系数的立方声谐振器的规划
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-06-05 DOI: 10.1016/j.cnsns.2025.108972
Maxime Morell , Aurélie Labetoulle , Emmanuel Gourdon , Emanuele De Bono , Manuel Collet , Alireza Ture Savadkoohi
{"title":"On the programming of cubic acoustic resonator with periodic time-dependent coefficient","authors":"Maxime Morell ,&nbsp;Aurélie Labetoulle ,&nbsp;Emmanuel Gourdon ,&nbsp;Emanuele De Bono ,&nbsp;Manuel Collet ,&nbsp;Alireza Ture Savadkoohi","doi":"10.1016/j.cnsns.2025.108972","DOIUrl":"10.1016/j.cnsns.2025.108972","url":null,"abstract":"<div><div>In this article, we investigate an electroacoustic resonator with a programmed cubic nonlinearity with constant and time-dependent coefficients. We design an experiment coupling an acoustic mode of a tube with a digitally programmable nonlinear resonator. Both simulations and experiments are carried out to compare optimized points for the resonator with programmed cubic nonlinearity with constant and time-dependent coefficients. We show that the frequency bandwidth of efficiency and the noise reduction are greater with varying nonlinearity than with constant nonlinearity.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"150 ","pages":"Article 108972"},"PeriodicalIF":3.4,"publicationDate":"2025-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144231208","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Global exponential input-to-state stability analysis of nonlinear systems with mixed time delays 混合时滞非线性系统的全局指数输入-状态稳定性分析
IF 3.4 2区 数学
Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-06-05 DOI: 10.1016/j.cnsns.2025.109015
Jinbao Lan , Chunyan Liu , Xin Wang
{"title":"Global exponential input-to-state stability analysis of nonlinear systems with mixed time delays","authors":"Jinbao Lan ,&nbsp;Chunyan Liu ,&nbsp;Xin Wang","doi":"10.1016/j.cnsns.2025.109015","DOIUrl":"10.1016/j.cnsns.2025.109015","url":null,"abstract":"<div><div>This research introduces a novel approach to analyze global exponential input-to-state stability for a category of nonlinear systems affected simultaneously by both unbounded distributed delays and time-varying neutral and transmission delays. The new method avoids constructing Lyapunov–Krasovskii generalized functionals. We verify the validity of the obtained results with two numerical examples. Notably, this study is the first to present a global exponential input-to-state stability analysis for the nonlinear system under consideration and introduce a novel method based on system solutions.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"150 ","pages":"Article 109015"},"PeriodicalIF":3.4,"publicationDate":"2025-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144231209","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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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